Partial Differential Operators And Mathematical Physics

Author : Isaak Rubinstein,Lev Rubinstein
Publisher : Cambridge University Press
Page : 704 pages
File Size : 50,8 Mb
Release : 1998-04-28
Category : Mathematics
ISBN : 0521558468

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Partial Differential Equations in Classical Mathematical Physics by Isaak Rubinstein,Lev Rubinstein Pdf

The unique feature of this book is that it considers the theory of partial differential equations in mathematical physics as the language of continuous processes, that is, as an interdisciplinary science that treats the hierarchy of mathematical phenomena as reflections of their physical counterparts. Special attention is drawn to tracing the development of these mathematical phenomena in different natural sciences, with examples drawn from continuum mechanics, electrodynamics, transport phenomena, thermodynamics, and chemical kinetics. At the same time, the authors trace the interrelation between the different types of problems - elliptic, parabolic, and hyperbolic - as the mathematical counterparts of stationary and evolutionary processes. This combination of mathematical comprehensiveness and natural scientific motivation represents a step forward in the presentation of the classical theory of PDEs, one that will be appreciated by both students and researchers alike.

Author : S. L. Sobolev
Publisher : Courier Corporation
Page : 452 pages
File Size : 53,5 Mb
Release : 1964-01-01
Category : Science
ISBN : 048665964X

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Partial Differential Equations of Mathematical Physics by S. L. Sobolev Pdf

This volume presents an unusually accessible introduction to equations fundamental to the investigation of waves, heat conduction, hydrodynamics, and other physical problems. Topics include derivation of fundamental equations, Riemann method, equation of heat conduction, theory of integral equations, Green's function, and much more. The only prerequisite is a familiarity with elementary analysis. 1964 edition.

Author : James Kirkwood
Publisher : Academic Press
Page : 431 pages
File Size : 45,5 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 : Michael Demuth,Bert-Wolfgang Schulze
Publisher : Birkhäuser
Page : 422 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034890922

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Partial Differential Operators and Mathematical Physics by Michael Demuth,Bert-Wolfgang Schulze Pdf

The book contains the contributions to the conference on "Partial Differential Equations" held in Holzhau (Germany) in July 1994, where outstanding specialists from analysis, geometry and mathematical physics reviewed recent progress and new interactions in these areas. Topics of special interest at the conference and which now form the core of this volume are hyperbolic operators, spectral theory for elliptic operators, eta-invariant, singular configura- tions and asymptotics, Bergman-kernel, attractors of non-autonomous evolution equations, pseudo-differential boundary value problems, Mellin pseudo- differential operators, approximation and stability problems for elliptic operators, and operator determinants. In spectral theory adiabatic and semiclassical limits, Dirichlet decoupling and domain perturbations, capacity of obstacles, limiting absorption problems, N-body scattering, and number of bound states are considered. Schrödinger operators are studied with magnetic fields, with random and with many-body potentials, and for nonlinear problems. In semigroup theory the Feller property, errors for product formulas, fractional powers of generators, and functional integration for relativistic semigroups are analyzed.

Author : Ronald B. Guenther,John W. Lee
Publisher : Courier Corporation
Page : 576 pages
File Size : 55,8 Mb
Release : 2012-09-19
Category : Mathematics
ISBN : 9780486137629

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Partial Differential Equations of Mathematical Physics and Integral Equations by Ronald B. Guenther,John W. Lee Pdf

Superb treatment for math and physical science students discusses modern mathematical techniques for setting up and analyzing problems. Discusses partial differential equations of the 1st order, elementary modeling, potential theory, parabolic equations, more. 1988 edition.

Author : Tyn Myint-U
Publisher : CUP Archive
Page : 552 pages
File Size : 52,5 Mb
Release : 1955
Category : Differential equations, Partial
ISBN : 8210379456XXX

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Partial Differential Equations of Mathematical Physics by Tyn Myint-U Pdf

Author : Prem Kythe
Publisher : Springer Science & Business Media
Page : 448 pages
File Size : 50,5 Mb
Release : 1996-07-30
Category : Mathematics
ISBN : 0817638695

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Fundamental Solutions for Differential Operators and Applications by Prem Kythe Pdf

A self-contained and systematic development of an aspect of analysis which deals with the theory of fundamental solutions for differential operators, and their applications to boundary value problems of mathematical physics, applied mathematics, and engineering, with the related computational aspects.

Author : Richard Courant,David Hilbert
Publisher : Wiley-VCH
Page : 858 pages
File Size : 41,9 Mb
Release : 1989
Category : Science
ISBN : UCSC:32106013342123

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Methods of Mathematical Physics by Richard Courant,David Hilbert Pdf

Since the first volume of this work came out in Germany in 1937, this book, together with its first volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's final revision of 1961.

Author : Arthur Godon Webster
Publisher : Courier Dover Publications
Page : 465 pages
File Size : 46,6 Mb
Release : 2016-06-20
Category : Mathematics
ISBN : 9780486805153

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Partial Differential Equations of Mathematical Physics by Arthur Godon Webster Pdf

A classic treatise on partial differential equations, this comprehensive work by one of America's greatest early mathematical physicists covers the basic method, theory, and application of partial differential equations. In addition to its value as an introductory and supplementary text for students, this volume constitutes a fine reference for mathematicians, physicists, and research engineers. Detailed coverage includes Fourier series; integral and elliptic equations; spherical, cylindrical, and ellipsoidal harmonics; Cauchy's method; boundary problems; the Riemann-Volterra method; and many other basic topics. The self-contained treatment fully develops the theory and application of partial differential equations to virtually every relevant field: vibration, elasticity, potential theory, the theory of sound, wave propagation, heat conduction, and many more. A helpful Appendix provides background on Jacobians, double limits, uniform convergence, definite integrals, complex variables, and linear differential equations.

Author : G. Buttazzo,Giselle Galdi,L. Zanghirati
Publisher : Springer Science & Business Media
Page : 245 pages
File Size : 48,6 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 : José F. Rodrigues,Gregory Seregin,José M. Urbano
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 40,8 Mb
Release : 2005-01-27
Category : Mathematics
ISBN : 376437165X

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

Vsevolod Alekseevich Solonnikov is known as one of the outstanding mathematicians from the St. Petersburg Mathematical School. His remarkable results on exact estimates of solutions to boundary and initial-boundary value problems for linear elliptic, parabolic, Stokes and Navier-Stokes systems, his methods and contributions to the inverstigation of free boundary problems, in particular in fluid mechanics, are well known to specialists all over the world. The International Conference on "Trends in Partial Differential Equations of Mathematical Physics" was held on the occasion of his 70th birthday in ??bidos (Portugal) from June 7 to 10, 2003. The conference consisted of thirty-eight invited and contributed lectures and gathered, in the charming and unique medieval town of ??bidos, about sixty participants from fifteen countries. This book contains twenty original contributions on many topics related to V.A. Solonnikov's work, selected from the invited talks of the conference.

Author : Victor Henner,Tatyana Belozerova,Kyle Forinash
Publisher : CRC Press
Page : 859 pages
File Size : 44,6 Mb
Release : 2009-06-18
Category : Mathematics
ISBN : 9781439865163

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Mathematical Methods in Physics by Victor Henner,Tatyana Belozerova,Kyle Forinash Pdf

This book is a text on partial differential equations (PDEs) of mathematical physics and boundary value problems, trigonometric Fourier series, and special functions. This is the core content of many courses in the fields of engineering, physics, mathematics, and applied mathematics. The accompanying software provides a laboratory environment that

Author : Nils Henrik Risebro
Publisher : Unknown
Page : 128 pages
File Size : 47,6 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 3037191864

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Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis by Nils Henrik Risebro Pdf

Author : Michael Demuth,Bert-Wolfgang Schulze
Publisher : John Wiley & Sons
Page : 436 pages
File Size : 43,7 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 : Lars Hörmander,Anders Melin
Publisher : Springer Science & Business Media
Page : 384 pages
File Size : 42,8 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781461207757

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Partial Differential Equations and Mathematical Physics by Lars Hörmander,Anders Melin Pdf

On March 17-19 and May 19-21,1995, analysis seminars were organized jointly at the universities of Copenhagen and Lund, under the heading "Danish-Swedish Analysis Seminar". The main topic was partial differen tial equations and related problems of mathematical physics. The lectures given are presented in this volume, some as short abstracts and some as quite complete expositions or survey papers. They span over a large vari ety of topics. The most frequently occurring theme is the use of microlocal analysis which is now important also in the study of non-linear differential equations although it originated entirely within the linear theory. Perhaps it is less surprising that microlocal analysis has proved to be useful in the study of mathematical problems of classical quantum mechanics, for it re ceived a substantial input of ideas from that field. The scientific committee for the invitation of speakers consisted of Gerd Grubb in Copenhagen, Lars Hormander and Anders MeHn in Lund, and Jo hannes Sjostrand in Paris. Lars Hormander and Anders Melin have edited the proceedings. They were hosts of the seminar days in Lund while Gerd Grubb was the host in Copenhagen. Financial support was obtained from the mathematics departments in Copenhagen and Lund, CNRS in France, the Danish and Swedish Na tional Research Councils, Gustaf Sigurd Magnuson's foundation at the Royal Swedish Academy of Sciences, and the Wenner-Gren foundation in Stockholm. We want to thank all these organisations for their support