Author : Lipman Bers
Publisher : Princeton University Press
Page : 272 pages
File Size : 47,3 MB
Release : 1955-01-20
Category : Mathematics
ISBN : 9780691095844
The description for this book, Contributions to the Theory of Partial Differential Equations. (AM-33), Volume 33, will be forthcoming.
Author : Lipman Bers
Publisher : Princeton University Press
Page : 257 pages
File Size : 41,28 MB
Release : 2016-03-02
Category : Mathematics
ISBN : 1400882184
The description for this book, Contributions to the Theory of Partial Differential Equations. (AM-33), Volume 33, will be forthcoming.
Author : Walter A. Strauss
Publisher : John Wiley & Sons
Page : 467 pages
File Size : 24,5 MB
Release : 2007-12-21
Category : Mathematics
ISBN : 0470054565
Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
Author : L. Bers
Publisher :
Page : 275 pages
File Size : 30,82 MB
Release : 1954
Category :
ISBN :
Author : Lipman Bers
Publisher :
Page : pages
File Size : 25,66 MB
Release : 1954-06-01
Category : Mathematics
ISBN : 9780527027490
Author : B. N. Chetverushkin
Publisher : Springer
Page : 456 pages
File Size : 40,51 MB
Release : 2018-07-19
Category : Technology & Engineering
ISBN : 3319783254
This book treats Modelling of CFD problems, Numerical tools for PDE, and Scientific Computing and Systems of ODE for Epidemiology, topics that are closely related to the scientific activities and interests of Prof. William Fitzgibbon, Prof. Yuri Kuznetsov, and Prof. O. Pironneau, whose outstanding achievements are recognised in this volume. It contains 20 contributions from leading scientists in applied mathematics dealing with partial differential equations and their applications to engineering, ab-initio chemistry and life sciences. It includes the mathematical and numerical contributions to PDE for applications presented at the ECCOMAS thematic conference "Contributions to PDE for Applications" held at Laboratoire Jacques Louis Lions in Paris, France, August 31- September 1, 2015, and at the Department of Mathematics, University of Houston, Texas, USA, February 26-27, 2016. This event brought together specialists from universities and research institutions who are developing or applying numerical PDE or ODE methods with an emphasis on industrial and societal applications. This volume is of interest to researchers and practitioners as well as advanced students or engineers in applied and computational mathematics. All contributions are written at an advanced scientific level with no effort made by the editors to make this volume self-contained. It is assumed that the reader is a specialist already who knows the basis of this field of research and has the capability of understanding and appreciating the latest developments in this field.
Author : M. A. Shubin
Publisher : Springer Verlag
Page : 216 pages
File Size : 18,75 MB
Release : 1991
Category : Mathematics
ISBN : 9783540520030
Two general questions regarding partial differential equations are explored in detail in this volume of the Encyclopaedia. The first is the Cauchy problem, and its attendant question of well-posedness (or correctness). The authors address this question in the context of PDEs with constant coefficients and more general convolution equations in the first two chapters. The third chapter extends a number of these results to equations with variable coefficients. The second topic is the qualitative theory of second order linear PDEs, in particular, elliptic and parabolic equations. Thus, the second part of the book is primarily a look at the behavior of solutions of these equations. There are versions of the maximum principle, the Phragmen-Lindel]f theorem and Harnack's inequality discussed for both elliptic and parabolic equations. The book is intended for readers who are already familiar with the basic material in the theory of partial differential equations.
Author : Lipman Bers
Publisher :
Page : 257 pages
File Size : 28,52 MB
Release : 1970
Category : Differential equations, Partial
ISBN :
Author : Pablo Blanc
Publisher : Walter de Gruyter GmbH & Co KG
Page : 256 pages
File Size : 24,63 MB
Release : 2019-07-22
Category : Mathematics
ISBN : 3110619326
Extending the well-known connection between classical linear potential theory and probability theory (through the interplay between harmonic functions and martingales) to the nonlinear case of tug-of-war games and their related partial differential equations, this unique book collects several results in this direction and puts them in an elementary perspective in a lucid and self-contained fashion.
Author : Sandro Salsa
Publisher : Springer
Page : 433 pages
File Size : 27,84 MB
Release : 2015-05-30
Category : Mathematics
ISBN : 3319154168
This textbook presents problems and exercises at various levels of difficulty in the following areas: Classical Methods in PDEs (diffusion, waves, transport, potential equations); Basic Functional Analysis and Distribution Theory; Variational Formulation of Elliptic Problems; and Weak Formulation for Parabolic Problems and for the Wave Equation. Thanks to the broad variety of exercises with complete solutions, it can be used in all basic and advanced PDE courses.
