Inequalities Based On Sobolev Representations

Author : George A. Anastassiou
Publisher : Springer Science & Business Media
Page : 76 pages
File Size : 47,9 Mb
Release : 2011-06-04
Category : Mathematics
ISBN : 9781461402015

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Inequalities Based on Sobolev Representations by George A. Anastassiou Pdf

Inequalities based on Sobolev Representations deals exclusively with very general tight integral inequalities of Chebyshev-Grüss, Ostrowski types and of integral means, all of which depend upon the Sobolev integral representations of functions. Applications illustrate inequalities that engage in ordinary and weak partial derivatives of the involved functions. This book also derives important estimates for the averaged Taylor polynomials and remainders of Sobolev integral representations. The results are examined in all directions and through both univariate and multivariate cases. This book is suitable for researchers, graduate students, and seminars in subareas of mathematical analysis, inequalities, partial differential equations and information theory.

Author : Vladimir V. Mityushev,Michael Ruzhansky
Publisher : Springer
Page : 189 pages
File Size : 43,5 Mb
Release : 2014-11-20
Category : Mathematics
ISBN : 9783319121482

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Analytic Methods in Interdisciplinary Applications by Vladimir V. Mityushev,Michael Ruzhansky Pdf

The book includes lectures given by the plenary and key speakers at the 9th International ISAAC Congress held 2013 in Krakow, Poland. The contributions treat recent developments in analysis and surrounding areas, concerning topics from the theory of partial differential equations, function spaces, scattering, probability theory, and others, as well as applications to biomathematics, queueing models, fractured porous media and geomechanics.

Author : Alan Huckleberry,Ivan Penkov,Gregg Zuckerman
Publisher : Springer Science & Business Media
Page : 422 pages
File Size : 51,5 Mb
Release : 2013-08-04
Category : Mathematics
ISBN : 9781461471936

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Lie Groups: Structure, Actions, and Representations by Alan Huckleberry,Ivan Penkov,Gregg Zuckerman Pdf

Lie Groups: Structures, Actions, and Representations, In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday consists of invited expository and research articles on new developments arising from Wolf's profound contributions to mathematics. Due to Professor Wolf’s broad interests, outstanding mathematicians and scholars in a wide spectrum of mathematical fields contributed to the volume. Algebraic, geometric, and analytic methods are employed. More precisely, finite groups and classical finite dimensional, as well as infinite-dimensional Lie groups, and algebras play a role. Actions on classical symmetric spaces, and on abstract homogeneous and representation spaces are discussed. Contributions in the area of representation theory involve numerous viewpoints, including that of algebraic groups and various analytic aspects of harmonic analysis. Contributors D. Akhiezer T. Oshima A. Andrada I. Pacharoni M. L. Barberis F. Ricci L. Barchini S. Rosenberg I. Dotti N. Shimeno M. Eastwood J. Tirao V. Fischer S. Treneer T. Kobayashi C.T.C. Wall A. Korányi D. Wallace B. Kostant K. Wiboonton P. Kostelec F. Xu K.-H. Neeb O. Yakimova G. Olafsson R. Zierau B. Ørsted

Author : Haim Brezis
Publisher : Springer Science & Business Media
Page : 600 pages
File Size : 42,7 Mb
Release : 2010-11-02
Category : Mathematics
ISBN : 9780387709147

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Functional Analysis, Sobolev Spaces and Partial Differential Equations by Haim Brezis Pdf

This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

Author : L. Saloff-Coste
Publisher : Cambridge University Press
Page : 204 pages
File Size : 50,5 Mb
Release : 2002
Category : Mathematics
ISBN : 0521006074

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Aspects of Sobolev-Type Inequalities by L. Saloff-Coste Pdf

Focusing on Poincaré, Nash and other Sobolev-type inequalities and their applications to the Laplace and heat diffusion equations on Riemannian manifolds, this text is an advanced graduate book that will also suit researchers.

Author : Vladimir Maz'ya
Publisher : Springer Science & Business Media
Page : 882 pages
File Size : 49,6 Mb
Release : 2011-02-11
Category : Mathematics
ISBN : 9783642155642

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Sobolev Spaces by Vladimir Maz'ya Pdf

Sobolev spaces play an outstanding role in modern analysis, in particular, in the theory of partial differential equations and its applications in mathematical physics. They form an indispensable tool in approximation theory, spectral theory, differential geometry etc. The theory of these spaces is of interest in itself being a beautiful domain of mathematics. The present volume includes basics on Sobolev spaces, approximation and extension theorems, embedding and compactness theorems, their relations with isoperimetric and isocapacitary inequalities, capacities with applications to spectral theory of elliptic differential operators as well as pointwise inequalities for derivatives. The selection of topics is mainly influenced by the author’s involvement in their study, a considerable part of the text is a report on his work in the field. Part of this volume first appeared in German as three booklets of Teubner-Texte zur Mathematik (1979, 1980). In the Springer volume “Sobolev Spaces”, published in English in 1985, the material was expanded and revised. The present 2nd edition is enhanced by many recent results and it includes new applications to linear and nonlinear partial differential equations. New historical comments, five new chapters and a significantly augmented list of references aim to create a broader and modern view of the area.

Author : Anonim
Publisher : American Mathematical Soc.
Page : 260 pages
File Size : 46,5 Mb
Release : 1975
Category : Mathematics
ISBN : 0821830317

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Theory and Applications of Differentiable Functions of Several Variables by Anonim Pdf

Author : David R. Adams,Lars I. Hedberg
Publisher : Springer Science & Business Media
Page : 372 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783662032824

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Function Spaces and Potential Theory by David R. Adams,Lars I. Hedberg Pdf

"..carefully and thoughtfully written and prepared with, in my opinion, just the right amount of detail included...will certainly be a primary source that I shall turn to." Proceedings of the Edinburgh Mathematical Society

Author : Evariste Giné,Christian Houdré,David Nualart
Publisher : Birkhäuser
Page : 362 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034880695

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Stochastic Inequalities and Applications by Evariste Giné,Christian Houdré,David Nualart Pdf

Concentration inequalities, which express the fact that certain complicated random variables are almost constant, have proven of utmost importance in many areas of probability and statistics. This volume contains refined versions of these inequalities, and their relationship to many applications particularly in stochastic analysis. The broad range and the high quality of the contributions make this book highly attractive for graduates, postgraduates and researchers in the above areas.

Author : Jaroslav Fořt,Jiří Fürst,Jan Halama,Raphaèle Herbin,Florence Hubert
Publisher : Springer Science & Business Media
Page : 1003 pages
File Size : 47,5 Mb
Release : 2011-07-21
Category : Mathematics
ISBN : 9783642206719

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Finite Volumes for Complex Applications VI Problems & Perspectives by Jaroslav Fořt,Jiří Fürst,Jan Halama,Raphaèle Herbin,Florence Hubert Pdf

Finite volume methods are used for various applications in fluid dynamics, magnetohydrodynamics, structural analysis or nuclear physics. A closer look reveals many interesting phenomena and mathematical or numerical difficulties, such as true error analysis and adaptivity, modelling of multi-phase phenomena or fitting problems, stiff terms in convection/diffusion equations and sources. To overcome existing problems and to find solution methods for future applications requires many efforts and always new developments. The goal of The International Symposium on Finite Volumes for Complex Applications VI is to bring together mathematicians, physicists and engineers dealing with Finite Volume Techniques in a wide context. This book, divided in two volumes, brings a critical look at the subject (new ideas, limits or drawbacks of methods, theoretical as well as applied topics).

Author : Victor I. Burenkov
Publisher : Springer-Verlag
Page : 312 pages
File Size : 51,6 Mb
Release : 2013-07-02
Category : Mathematics
ISBN : 9783663113744

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Sobolev Spaces on Domains by Victor I. Burenkov Pdf

Author : David E. Edmunds,William D. Evans
Publisher : Springer Science & Business Media
Page : 334 pages
File Size : 50,5 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783662077313

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Hardy Operators, Function Spaces and Embeddings by David E. Edmunds,William D. Evans Pdf

Classical Sobolev spaces, based on Lebesgue spaces on an underlying domain with smooth boundary, are not only of considerable intrinsic interest but have for many years proved to be indispensible in the study of partial differential equations and variational problems. Many developments of the basic theory since its inception arise in response to concrete problems, for example, with the (ubiquitous) sets with fractal boundaries. The theory will probably enjoy substantial further growth, but even now a connected account of the mature parts of it makes a useful addition to the literature. Accordingly, the main themes of this book are Banach spaces and spaces of Sobolev type based on them; integral operators of Hardy type on intervals and on trees; and the distribution of the approximation numbers (singular numbers in the Hilbert space case) of embeddings of Sobolev spaces based on generalised ridged domains. This timely book will be of interest to all those concerned with the partial differential equations and their ramifications. A prerequisite for reading it is a good graduate course in real analysis.

Author : Elton P. Hsu,S. R. S. Varadhan
Publisher : American Mathematical Soc.
Page : 402 pages
File Size : 48,6 Mb
Release : 1999-01-01
Category : Mathematics
ISBN : 0821886886

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Probability Theory and Applications by Elton P. Hsu,S. R. S. Varadhan Pdf

The volume gives a balanced overview of the current status of probability theory. An extensive bibliography for further study and research is included. This unique collection presents several important areas of current research and a valuable survey reflecting the diversity of the field.

Author : Vincenzo Vespri,Ugo Gianazza,Dario Daniele Monticelli,Fabio Punzo,Daniele Andreucci
Publisher : Springer Nature
Page : 202 pages
File Size : 40,9 Mb
Release : 2021-05-29
Category : Mathematics
ISBN : 9783030737788

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Harnack Inequalities and Nonlinear Operators by Vincenzo Vespri,Ugo Gianazza,Dario Daniele Monticelli,Fabio Punzo,Daniele Andreucci Pdf

The book contains two contributions about the work of Emmanuele DiBenedetto and a selection of original papers. The authors are some of the main experts in Harnack’s inequalities and nonlinear operators. These papers are part of the contributions presented during the conference to celebrate the 70th birthday of Prof. Emmanuele DiBenedetto, which was held at “Il Palazzone” in Cortona from June 18th to 24th, 2017. The papers are focused on current research topics regarding the qualitative properties of solutions, connections with calculus of variations, Harnack inequality and regularity theory. Some papers are also related to various applications. Many of the authors have shared with Prof. DiBenedetto an intense scientific and personal collaboration, while many others have taken inspiration from and further developed his field of research. The topics of the conference are certainly of great interest for the international mathematical community.

Author : Analysis on Infinit Ams Special Session,Hui-Hsiung Kuo,Ambar Sengupta
Publisher : American Mathematical Soc.
Page : 224 pages
File Size : 53,6 Mb
Release : 2003
Category : Mathematics
ISBN : 9780821832028

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Finite and Infinite Dimensional Analysis in Honor of Leonard Gross by Analysis on Infinit Ams Special Session,Hui-Hsiung Kuo,Ambar Sengupta Pdf

This book contains the proceedings of the special session in honor of Leonard Gross held at the annual Joint Mathematics Meetings in New Orleans (LA). The speakers were specialists in a variety of fields, and many were Professor Gross' former Ph.D. students and their descendants. Papers in this volume present results from several areas of mathematics. They illustrate applications of powerful ideas that originated in Gross' work and permeate diverse fields. Topics of this title include stochastic partial differential equations, white noise analysis, Brownian motion, Segal-Bargmann analysis, heat kernels, and some applications. The volume should be useful to graduate students and researchers. It provides perspective on current activity and on central ideas and techniques in the topics covered.