Linear And Quasi Linear Equations Of Parabolic Type
DOWNLOAD
Download Linear And Quasi Linear Equations Of Parabolic Type PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Linear And Quasi Linear Equations Of Parabolic Type book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Linear And Quasi Linear Equations Of Parabolic Type
DOWNLOAD
Author : Olʹga A. Ladyženskaja
language : en
Publisher: American Mathematical Soc.
Release Date : 1988
Linear And Quasi Linear Equations Of Parabolic Type written by Olʹga A. Ladyženskaja and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
Equations of parabolic type are encountered in many areas of mathematics and mathematical physics, and those encountered most frequently are linear and quasi-linear parabolic equations of the second order. In this volume, boundary value problems for such equations are studied from two points of view: solvability, unique or otherwise, and the effect of smoothness properties of the functions entering the initial and boundary conditions on the smoothness of the solutions.
Linear And Quasi Linear Equations Of Parabolic Type
DOWNLOAD
Author : Olga Aleksandrovna Ladyzenskaja
language : en
Publisher:
Release Date : 1988
Linear And Quasi Linear Equations Of Parabolic Type written by Olga Aleksandrovna Ladyzenskaja and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.
Linear And Quasilinear Parabolic Problems
DOWNLOAD
Author : Herbert Amann
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Linear And Quasilinear Parabolic Problems written by Herbert Amann and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
In this treatise we present the semigroup approach to quasilinear evolution equa of parabolic type that has been developed over the last ten years, approxi tions mately. It emphasizes the dynamic viewpoint and is sufficiently general and flexible to encompass a great variety of concrete systems of partial differential equations occurring in science, some of those being of rather 'nonstandard' type. In partic ular, to date it is the only general method that applies to noncoercive systems. Although we are interested in nonlinear problems, our method is based on the theory of linear holomorphic semigroups. This distinguishes it from the theory of nonlinear contraction semigroups whose basis is a nonlinear version of the Hille Yosida theorem: the Crandall-Liggett theorem. The latter theory is well-known and well-documented in the literature. Even though it is a powerful technique having found many applications, it is limited in its scope by the fact that, in concrete applications, it is closely tied to the maximum principle. Thus the theory of nonlinear contraction semigroups does not apply to systems, in general, since they do not allow for a maximum principle. For these reasons we do not include that theory.
Parabolic Quasilinear Equations Minimizing Linear Growth Functionals
DOWNLOAD
Author : Fuensanta Andreu-Vaillo
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Parabolic Quasilinear Equations Minimizing Linear Growth Functionals written by Fuensanta Andreu-Vaillo and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book details the mathematical developments in total variation based image restauration. From the reviews: "This book is devoted to PDE's of elliptic and parabolic type associated to functionals having a linear growth in the gradient, with a special emphasis on the applications related to image restoration and nonlinear filters....The book is written with great care, paying also a lot of attention to the bibliographical and historical notes."-- ZENTRALBLATT MATH
Linear And Quasi Linear Evolution Equations In Hilbert Spaces
DOWNLOAD
Author : Pascal Cherrier
language : en
Publisher: American Mathematical Society
Release Date : 2022-07-14
Linear And Quasi Linear Evolution Equations In Hilbert Spaces written by Pascal Cherrier and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-14 with Mathematics categories.
This book considers evolution equations of hyperbolic and parabolic type. These equations are studied from a common point of view, using elementary methods, such as that of energy estimates, which prove to be quite versatile. The authors emphasize the Cauchy problem and present a unified theory for the treatment of these equations. In particular, they provide local and global existence results, as well as strong well-posedness and asymptotic behavior results for the Cauchy problem for quasi-linear equations. Solutions of linear equations are constructed explicitly, using the Galerkin method; the linear theory is then applied to quasi-linear equations, by means of a linearization and fixed-point technique. The authors also compare hyperbolic and parabolic problems, both in terms of singular perturbations, on compact time intervals, and asymptotically, in terms of the diffusion phenomenon, with new results on decay estimates for strong solutions of homogeneous quasi-linear equations of each type. This textbook presents a valuable introduction to topics in the theory of evolution equations, suitable for advanced graduate students. The exposition is largely self-contained. The initial chapter reviews the essential material from functional analysis. New ideas are introduced along with their context. Proofs are detailed and carefully presented. The book concludes with a chapter on applications of the theory to Maxwell's equations and von Karman's equations.
Linear And Quasilinear Parabolic Problems
DOWNLOAD
Author : Herbert Amann
language : en
Publisher: Springer Science & Business Media
Release Date : 1995-03-27
Linear And Quasilinear Parabolic Problems written by Herbert Amann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-03-27 with Language Arts & Disciplines categories.
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.
Linear And Quasilinear Elliptic Equations
DOWNLOAD
Author : Ladyzhenskaya
language : en
Publisher: Academic Press
Release Date : 1968
Linear And Quasilinear Elliptic Equations written by Ladyzhenskaya and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Mathematics categories.
Linear and Quasilinear Elliptic Equations
An Application Of The Leray Schauder Method To Quasi Linear Partial Differential Equations Of Parabolic Type
DOWNLOAD
Author : LYNN ULFRED ALBERS
language : en
Publisher:
Release Date : 1950
An Application Of The Leray Schauder Method To Quasi Linear Partial Differential Equations Of Parabolic Type written by LYNN ULFRED ALBERS and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1950 with categories.
Quasilinear Degenerate And Nonuniformly Elliptic And Parabolic Equations Of Second Order
DOWNLOAD
Author : A. V. Ivanov
language : en
Publisher: American Mathematical Soc.
Release Date : 1984
Quasilinear Degenerate And Nonuniformly Elliptic And Parabolic Equations Of Second Order written by A. V. Ivanov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.
Second Order Equations Of Elliptic And Parabolic Type
DOWNLOAD
Author : E. M. Landis
language : en
Publisher: American Mathematical Soc.
Release Date : 1997-12-02
Second Order Equations Of Elliptic And Parabolic Type written by E. M. Landis and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-12-02 with Mathematics categories.
Most books on elliptic and parabolic equations emphasize existence and uniqueness of solutions. By contrast, this book focuses on the qualitative properties of solutions. In addition to the discussion of classical results for equations with smooth coefficients (Schauder estimates and the solvability of the Dirichlet problem for elliptic equations; the Dirichlet problem for the heat equation), the book describes properties of solutions to second order elliptic and parabolic equations with measurable coefficients near the boundary and at infinity. The book presents a fine elementary introduction to the theory of elliptic and parabolic equations of second order. The precise and clear exposition is suitable for graduate students as well as for research mathematicians who want to get acquainted with this area of the theory of partial differential equations.