Advances In Differential Equations And Mathematical Physics

Author : Yulia E. Karpeshina,Günter Stolz,Rudi Weikard,Yanni Zeng
Publisher : American Mathematical Soc.
Page : 410 pages
File Size : 46,9 Mb
Release : 2003
Category : Differential equations
ISBN : 9780821832967

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Advances in Differential Equations and Mathematical Physics by Yulia E. Karpeshina,Günter Stolz,Rudi Weikard,Yanni Zeng Pdf

This volume presents the proceedings of the 9th International Conference on Differential Equations and Mathematical Physics. It contains 29 research and survey papers contributed by conference participants. The conference provided researchers a forum to present and discuss their recent results in a broad range of areas encompassing the theory of differential equations and their applications in mathematical physics. Papers in this volume represent some of the most interesting results and the major areas of research that were covered, including spectral theory with applications to non-relativistic and relativistic quantum mechanics, including time-dependent and random potential, resonances, many body systems, pseudodifferential operators and quantum dynamics, inverse spectral and scattering problems, the theory of linear and nonlinear partial differential equations with applications in fluid dynamics, conservation laws and numerical simulations, as well as equilibrium and nonequilibrium statistical mechanics. The volume is intended for graduate students and researchers interested in mathematical physics.

Author : International Conference on Differential Equations and Mathematical Physics (10th 2005
Publisher : American Mathematical Soc.
Page : 333 pages
File Size : 46,7 Mb
Release : 2006
Category : Mathematics
ISBN : 9780821838402

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Recent Advances in Differential Equations and Mathematical Physics by International Conference on Differential Equations and Mathematical Physics (10th 2005 Pdf

This book brings together both new material and recent surveys on some topics in differential equations that are either directly relevant to, or closely associated with, mathematical physics. Its topics include asymptotic formulas for the ground-state energy of fermionic gas, renormalization ideas in quantum field theory from perturbations of the free Hamiltonian on the circle, $J$-selfadjoint Dirac operators, spectral theory of Schrodinger operators, inverse problems, isoperimetric inequalities in quantum mechanics, Hardy inequalities, and non-adiabatic transitions. Excellent survey articles on Dirichlet-Neumann inverse problems on manifolds (by Uhlmann), numerical investigations associated with Laplacian eigenvalues on planar regions (by Trefethen), Snell's law and propagation of singularities in the wave equation (by Vasy), and random operators on tree graphs (by Aizenmann) make this book interesting and valuable for graduate students, young mathematicians, and physicists alike.

Author : Eric Carlen,Evans M. Harrell,Michael Loss
Publisher : American Mathematical Soc.
Page : 236 pages
File Size : 41,9 Mb
Release : 1998
Category : Mathematics
ISBN : 0821855530

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Advances in Differential Equations and Mathematical Physics by Eric Carlen,Evans M. Harrell,Michael Loss Pdf

Author : José F. Rodrigues,Gregory Seregin,José M. Urbano
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 44,8 Mb
Release : 2006-03-30
Category : Mathematics
ISBN : 9783764373177

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Trends in Partial Differential Equations of Mathematical Physics by José F. Rodrigues,Gregory Seregin,José M. Urbano Pdf

This book consists of contributions originating from a conference in Obedo, Portugal, which honoured the 70th birthday of V.A. Solonnikov. A broad variety of topics centering on nonlinear problems is presented, particularly Navier-Stokes equations, viscosity problems, diffusion-absorption equations, free boundaries, and Euler equations.

Author : G. Buttazzo,Giselle Galdi,L. Zanghirati
Publisher : Springer Science & Business Media
Page : 245 pages
File Size : 45,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461530329

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Developments in Partial Differential Equations and Applications to Mathematical Physics by G. Buttazzo,Giselle Galdi,L. Zanghirati Pdf

During the days 14-18 of October 1991, we had the pleasure of attending a most interesting Conference on New Developments in Partial Differential Equations and Applications to Mathematical Physics in Ferrarra. The Conference was organized within the Scientific Program celebrating the six hundredth birthday of the University of Ferrarra and, after the many stimulating lectures and fruitful discussions, we may certainly conclude, together with the numerous participants, that it has represented a big success. The Conference would not have been possible without the financial support of several sources. In this respect, we are particularly grateful to the Comitato Organizzatore del VI Centenario, the University of Ferrarra in the Office of the Rector, Professor Antonio Rossi, the Consiglio Nationale delle Ricerche, and the Department of Mathematics of the University of Ferrarra. We should like to thank all of the partlClpants and the speakers, and we are especially grateful to those who have contributed to the present volume. G. Buttazzo, University of Pisa G.P. Galdi, University of Ferrarra L. Zanghirati, University of Ferrarra Ferrarra, May 11 th, 1992 v CONTENTS INVITED LECTURES Liapunov Functionals and Qualitative Behaviour of the Solution to the Nonlinear Enskog Equation ...

Author : A. N. Tikhonov,A. A. Samarskii
Publisher : Courier Corporation
Page : 802 pages
File Size : 40,8 Mb
Release : 2013-09-16
Category : Mathematics
ISBN : 9780486173368

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Equations of Mathematical Physics by A. N. Tikhonov,A. A. Samarskii Pdf

Mathematical physics plays an important role in the study of many physical processes — hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical physics, this thorough advanced undergraduate- or graduate-level text considers only those problems leading to partial differential equations. Contents: I. Classification of Partial Differential Equations II. Evaluations of the Hyperbolic Type III. Equations of the Parabolic Type IV. Equations of Elliptic Type V. Wave Propagation in Space VI. Heat Conduction in Space VII. Equations of Elliptic Type (Continuation) The authors — two well-known Russian mathematicians — have focused on typical physical processes and the principal types of equations dealing with them. Special attention is paid throughout to mathematical formulation, rigorous solutions, and physical interpretation of the results obtained. Carefully chosen problems designed to promote technical skills are contained in each chapter, along with extremely useful appendixes that supply applications of solution methods described in the main text. At the end of the book, a helpful supplement discusses special functions, including spherical and cylindrical functions.

Author : Michael Demuth,Bert-Wolfgang Schulze
Publisher : John Wiley & Sons
Page : 436 pages
File Size : 48,5 Mb
Release : 1997
Category : Mathematics
ISBN : 3055017692

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Differential Equations, Asymptotic Analysis, and Mathematical Physics by Michael Demuth,Bert-Wolfgang Schulze Pdf

This volume contains a collection of original papers, associated with the International Conference on Partial Differential Equations, held in Potsdam, July 29 to August 2, 1996. The conference has taken place every year on a high scientific level since 1991; this event is connected with the activities of the Max Planck Research Group for Partial Differential Equations at Potsdam. Outstanding researchers and specialists from Armenia, Belarus, Belgium, Bulgaria, Canada, China, France, Germany, Great Britain, India, Israel, Italy, Japan, Poland, Romania, Russia, Spain, Sweden, Switzerland, Ukraine, and the USA contribute to this volume. The main topics concern recent progress in partial differential equations, microlocal analysis, pseudo-differential operators on manifolds with singularities, aspects in differential geometry and index theory, operator theory and operator algebras, stochastic spectral analysis, semigroups, Dirichlet forms, Schrodinger operators, semiclassical analysis, and scattering theory.

Author : Elina Shishkina,Sergei Sitnik
Publisher : Academic Press
Page : 594 pages
File Size : 47,5 Mb
Release : 2020-07-24
Category : Mathematics
ISBN : 9780128204078

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Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics by Elina Shishkina,Sergei Sitnik Pdf

Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics connects difficult problems with similar more simple ones. The book's strategy works for differential and integral equations and systems and for many theoretical and applied problems in mathematics, mathematical physics, probability and statistics, applied computer science and numerical methods. In addition to being exposed to recent advances, readers learn to use transmutation methods not only as practical tools, but also as vehicles that deliver theoretical insights. Presents the universal transmutation method as the most powerful for solving many problems in mathematics, mathematical physics, probability and statistics, applied computer science and numerical methods Combines mathematical rigor with an illuminating exposition full of historical notes and fascinating details Enables researchers, lecturers and students to find material under the single "roof"

Author : James Kirkwood
Publisher : Academic Press
Page : 431 pages
File Size : 53,8 Mb
Release : 2012-01-20
Category : Mathematics
ISBN : 9780123869111

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Mathematical Physics with Partial Differential Equations by James Kirkwood Pdf

Suitable for advanced undergraduate and beginning graduate students taking a course on mathematical physics, this title presents some of the most important topics and methods of mathematical physics. It contains mathematical derivations and solutions - reinforcing the material through repetition of both the equations and the techniques.

Author : Eric Carlen,Evans M. Harrell,Michael Loss
Publisher : American Mathematical Soc.
Page : 234 pages
File Size : 49,6 Mb
Release : 1998
Category : Differential equations
ISBN : 9780821808610

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Advances in Differential Equations and Mathematical Physics by Eric Carlen,Evans M. Harrell,Michael Loss Pdf

The text offers a combination of certain emerging topics and important research advances in the area of differential equations. The topics range widely and include magnetic Schroedinger operators, the Boltzmann equations, nonlinear variational problems and noncommutative probability theory. The text is suitable for graduate and advanced graduate courses and seminars on the topic, as well as research mathematicians and physicists working in mathematical physics, applied mathematics, analysis and differential equations.

Author : Shing-Tung Yau,Institute for Advanced Study (Princeton, N.J.)
Publisher : Princeton University Press
Page : 720 pages
File Size : 55,7 Mb
Release : 1982-03-21
Category : Mathematics
ISBN : 9780691082967

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Seminar on Differential Geometry by Shing-Tung Yau,Institute for Advanced Study (Princeton, N.J.) Pdf

This collection of papers constitutes a wide-ranging survey of recent developments in differential geometry and its interactions with other fields, especially partial differential equations and mathematical physics. This area of mathematics was the subject of a special program at the Institute for Advanced Study in Princeton during the academic year 1979-1980; the papers in this volume were contributed by the speakers in the sequence of seminars organized by Shing-Tung Yau for this program. Both survey articles and articles presenting new results are included. The articles on differential geometry and partial differential equations include a general survey article by the editor on the relationship of the two fields and more specialized articles on topics including harmonic mappings, isoperimetric and Poincaré inequalities, metrics with specified curvature properties, the Monge-Arnpere equation, L2 harmonic forms and cohomology, manifolds of positive curvature, isometric embedding, and Kraumlhler manifolds and metrics. The articles on differential geometry and mathematical physics cover such topics as renormalization, instantons, gauge fields and the Yang-Mills equation, nonlinear evolution equations, incompleteness of space-times, black holes, and quantum gravity. A feature of special interest is the inclusion of a list of more than one hundred unsolved research problems compiled by the editor with comments and bibliographical information.

Author : Christer Bennewitz,Malcolm Brown,Rudi Weikard
Publisher : Springer Nature
Page : 379 pages
File Size : 47,5 Mb
Release : 2020-10-27
Category : Mathematics
ISBN : 9783030590888

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Spectral and Scattering Theory for Ordinary Differential Equations by Christer Bennewitz,Malcolm Brown,Rudi Weikard Pdf

This graduate textbook offers an introduction to the spectral theory of ordinary differential equations, focusing on Sturm–Liouville equations. Sturm–Liouville theory has applications in partial differential equations and mathematical physics. Examples include classical PDEs such as the heat and wave equations. Written by leading experts, this book provides a modern, systematic treatment of the theory. The main topics are the spectral theory and eigenfunction expansions for Sturm–Liouville equations, as well as scattering theory and inverse spectral theory. It is the first book offering a complete account of the left-definite theory for Sturm–Liouville equations. The modest prerequisites for this book are basic one-variable real analysis, linear algebra, as well as an introductory course in complex analysis. More advanced background required in some parts of the book is completely covered in the appendices. With exercises in each chapter, the book is suitable for advanced undergraduate and graduate courses, either as an introduction to spectral theory in Hilbert space, or to the spectral theory of ordinary differential equations. Advanced topics such as the left-definite theory and the Camassa–Holm equation, as well as bibliographical notes, make the book a valuable reference for experts.

Author : Michael Demuth,Elmar Schrohe,Bert-Wolfgang Schulze
Publisher : De Gruyter Akademie Forschung
Page : 400 pages
File Size : 55,9 Mb
Release : 1994
Category : History
ISBN : UOM:39015034382914

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Pseudo-differential Calculus and Mathematical Physics by Michael Demuth,Elmar Schrohe,Bert-Wolfgang Schulze Pdf

A major step towards the understanding of differential operators on singular manifolds consists in the construction of algebras of pseudodifferential operators that will allow the solution of natural elliptic equations in terms of parametrix constructions. This leads to questions of elliptic regularity, Fredholm and index theory.

Author : S.I. Hayek
Publisher : CRC Press
Page : 862 pages
File Size : 53,5 Mb
Release : 2010-06-22
Category : Mathematics
ISBN : 9781420081985

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Advanced Mathematical Methods in Science and Engineering by S.I. Hayek Pdf

Classroom-tested, Advanced Mathematical Methods in Science and Engineering, Second Edition presents methods of applied mathematics that are particularly suited to address physical problems in science and engineering. Numerous examples illustrate the various methods of solution and answers to the end-of-chapter problems are included at the back of the book. After introducing integration and solution methods of ordinary differential equations (ODEs), the book presents Bessel and Legendre functions as well as the derivation and methods of solution of linear boundary value problems for physical systems in one spatial dimension governed by ODEs. It also covers complex variables, calculus, and integrals; linear partial differential equations (PDEs) in classical physics and engineering; the derivation of integral transforms; Green’s functions for ODEs and PDEs; asymptotic methods for evaluating integrals; and the asymptotic solution of ODEs. New to this edition, the final chapter offers an extensive treatment of numerical methods for solving non-linear equations, finite difference differentiation and integration, initial value and boundary value ODEs, and PDEs in mathematical physics. Chapters that cover boundary value problems and PDEs contain derivations of the governing differential equations in many fields of applied physics and engineering, such as wave mechanics, acoustics, heat flow in solids, diffusion of liquids and gases, and fluid flow. An update of a bestseller, this second edition continues to give students the strong foundation needed to apply mathematical techniques to the physical phenomena encountered in scientific and engineering applications.

Author : Stefan Bergman,Menahem Schiffer
Publisher : Courier Corporation
Page : 450 pages
File Size : 53,8 Mb
Release : 2013-01-23
Category : Mathematics
ISBN : 9780486154657

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Kernel Functions and Elliptic Differential Equations in Mathematical Physics by Stefan Bergman,Menahem Schiffer Pdf

Covers the theory of boundary value problems in partial differential equations and discusses a portion of the theory from a unifying point of view while providing an introduction to each branch of its applications. 1953 edition.