A Cauchy Problem for Pseudo-Parabolic Partial Differential Equations in Whole-Space
Author :
Publisher :
Page : pages
File Size : 14,62 MB
Release : 1972
Category :
ISBN :
Author :
Publisher :
Page : pages
File Size : 14,62 MB
Release : 1972
Category :
ISBN :
Author : A. Asanov
Publisher : Walter de Gruyter GmbH & Co KG
Page : 156 pages
File Size : 35,44 MB
Release : 2014-07-24
Category : Mathematics
ISBN : 3110900149
The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
Author : J. C. Meyer
Publisher : Cambridge University Press
Page : 177 pages
File Size : 49,37 MB
Release : 2015-10-22
Category : Mathematics
ISBN : 1316301079
Reaction-diffusion theory is a topic which has developed rapidly over the last thirty years, particularly with regards to applications in chemistry and life sciences. Of particular importance is the analysis of semi-linear parabolic PDEs. This monograph provides a general approach to the study of semi-linear parabolic equations when the nonlinearity, while failing to be Lipschitz continuous, is Hölder and/or upper Lipschitz continuous, a scenario that is not well studied, despite occurring often in models. The text presents new existence, uniqueness and continuous dependence results, leading to global and uniformly global well-posedness results (in the sense of Hadamard). Extensions of classical maximum/minimum principles, comparison theorems and derivative (Schauder-type) estimates are developed and employed. Detailed specific applications are presented in the later stages of the monograph. Requiring only a solid background in real analysis, this book is suitable for researchers in all areas of study involving semi-linear parabolic PDEs.
Author : John Christopher Meyer
Publisher :
Page : 167 pages
File Size : 14,87 MB
Release : 2015
Category : MATHEMATICS
ISBN : 9781316317778
Author : Pavol Quittner
Publisher : Springer Science & Business Media
Page : 593 pages
File Size : 33,22 MB
Release : 2007-12-16
Category : Mathematics
ISBN : 3764384425
This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, physics and biology. The book is self-contained and up-to-date, taking special care on the didactical preparation of the material. It is devoted to problems that are intensively studied but have not been treated thus far in depth in the book literature.
Author : Chin-yuan Lin
Publisher : World Scientific
Page : 174 pages
File Size : 12,7 MB
Release : 2014-08-08
Category : Mathematics
ISBN : 9814616400
This volume is on initial-boundary value problems for parabolic partial differential equations of second order. It rewrites the problems as abstract Cauchy problems or evolution equations, and then solves them by the technique of elementary difference equations. Because of this, the volume assumes less background and provides an easy approach for readers to understand.
Author : Jacques Hadamard
Publisher :
Page : 336 pages
File Size : 41,26 MB
Release : 1923
Category : Cauchy problem
ISBN :
Author : Herbert Amann
Publisher : Springer Science & Business Media
Page : 688 pages
File Size : 29,11 MB
Release : 1995-03-27
Category : Language Arts & Disciplines
ISBN : 9783764351144
This treatise gives an exposition of the functional analytical approach to quasilinear parabolic evolution equations, developed to a large extent by the author during the last 10 years. This approach is based on the theory of linear nonautonomous parabolic evolution equations and on interpolation-extrapolation techniques. It is the only general method that applies to noncoercive quasilinear parabolic systems under nonlinear boundary conditions. The present first volume is devoted to a detailed study of nonautonomous linear parabolic evolution equations in general Banach spaces. It contains a careful exposition of the constant domain case, leading to some improvements of the classical Sobolevskii-Tanabe results. It also includes recent results for equations possessing constant interpolation spaces. In addition, systematic presentations of the theory of maximal regularity in spaces of continuous and Hölder continuous functions, and in Lebesgue spaces, are given. It includes related recent theorems in the field of harmonic analysis in Banach spaces and on operators possessing bounded imaginary powers. Lastly, there is a complete presentation of the technique of interpolation-extrapolation spaces and of evolution equations in those spaces, containing many new results.
Author : A. A. Samarskii
Publisher : Walter de Gruyter
Page : 561 pages
File Size : 23,93 MB
Release : 2011-06-24
Category : Mathematics
ISBN : 3110889862
The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)
Author : Joachim Escher
Publisher : Springer Science & Business Media
Page : 712 pages
File Size : 31,60 MB
Release : 2011-07-20
Category : Mathematics
ISBN : 3034800754
The volume originates from the 'Conference on Nonlinear Parabolic Problems' held in celebration of Herbert Amann's 70th birthday at the Banach Center in Bedlewo, Poland. It features a collection of peer-reviewed research papers by recognized experts highlighting recent advances in fields of Herbert Amann's interest such as nonlinear evolution equations, fluid dynamics, quasi-linear parabolic equations and systems, functional analysis, and more.