The Cauchy Problem For Solutions Of Elliptic Equations
DOWNLOAD
Download The Cauchy Problem For Solutions Of Elliptic Equations PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get The Cauchy Problem For Solutions Of Elliptic Equations 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
The Cauchy Problem For Solutions Of Elliptic Equations
DOWNLOAD
Author : Nikolaĭ Nikolaevich Tarkhanov
language : en
Publisher: De Gruyter Akademie Forschung
Release Date : 1995
The Cauchy Problem For Solutions Of Elliptic Equations written by Nikolaĭ Nikolaevich Tarkhanov and has been published by De Gruyter Akademie Forschung this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
The book is an attempt to bring together various topics in partial differential equations related to the Cauchy problem for solutions of an elliptic equation. Ever since Hadamard, the Cauchy problem for solutions of elliptic equations has been known to be ill-posed.
The Cauchy Problem For Solutions Of Elliptic Equations
DOWNLOAD
Author : Nikolai N. Tarkhanov
language : en
Publisher: Wiley-VCH
Release Date : 1995-05-23
The Cauchy Problem For Solutions Of Elliptic Equations written by Nikolai N. Tarkhanov and has been published by Wiley-VCH this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-05-23 with Mathematics categories.
The book is an attempt to bring together various topics in partial differential equations related to the Cauchy problem for solutions of an elliptic equation. Ever since Hadamard, the Cauchy problem for solutions of elliptic equations has been known to be ill-posed. It is conditionally stable, just as is the case for even the simplest problems of analytic continuation of functions given on a subset of the boundary. (Such problems of analytic continuation served as a paradigm for the treatment here.) The study of the Cauchy problem is carried out in three directions: determining the degree of instability, which is connected with sharp theorems on approximation by solutions of an elliptic equation; finding solvability conditions, which is based on the development of Hilbert space methods in the Cauchy problem; and reconstructing solutions via their Cauchy data, which requires efficient ways of approximation. A wide range of topics is touched upon, among them are function spaces on compact sets, boundedness theorems for pseudodifferential operators in nonlocal spaces, nonlinear capacity and removable singularities, fundamental solutions, capacitary criteria for approximation by solutions of elliptic equations, and weak boundary values of the solutions. The theory applies as well to the Cauchy problem for solution of overdetermined elliptic systems.
Nonlinear Parabolic And Elliptic Equations
DOWNLOAD
Author : C.V. Pao
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Parabolic And Elliptic Equations written by C.V. Pao 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 2012-12-06 with Mathematics categories.
In response to the growing use of reaction diffusion problems in many fields, this monograph gives a systematic treatment of a class of nonlinear parabolic and elliptic differential equations and their applications these problems. It is an important reference for mathematicians and engineers, as well as a practical text for graduate students.
Fine Regularity Of Solutions Of Elliptic Partial Differential Equations
DOWNLOAD
Author : Jan Malý
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Fine Regularity Of Solutions Of Elliptic Partial Differential Equations written by Jan Malý 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 with Mathematics categories.
The primary objective of this monograph is to give a comprehensive exposition of results surrounding the work of the authors concerning boundary regularity of weak solutions of second order elliptic quasilinear equations in divergence form. The book also contains a complete development of regularity of solutions of variational inequalities, including the double obstacle problem, where the obstacles are allowed to be discontinuous. The book concludes with a chapter devoted to the existence theory thus providing the reader with a complete treatment of the subject ranging from regularity of weak solutions to the existence of weak solutions.
Analysis Of The Robin Dirichlet Iterative Procedure For Solving The Cauchy Problem For Elliptic Equations With Extension To Unbounded Domains
DOWNLOAD
Author : Pauline Achieng
language : en
Publisher: Linköping University Electronic Press
Release Date : 2020-10-26
Analysis Of The Robin Dirichlet Iterative Procedure For Solving The Cauchy Problem For Elliptic Equations With Extension To Unbounded Domains written by Pauline Achieng and has been published by Linköping University Electronic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-26 with Electronic books categories.
In this thesis we study the Cauchy problem for elliptic equations. It arises in many areas of application in science and engineering as a problem of reconstruction of solutions to elliptic equations in a domain from boundary measurements taken on a part of the boundary of this domain. The Cauchy problem for elliptic equations is known to be ill-posed. We use an iterative regularization method based on alternatively solving a sequence of well-posed mixed boundary value problems for the same elliptic equation. This method, based on iterations between Dirichlet-Neumann and Neumann-Dirichlet mixed boundary value problems was first proposed by Kozlov and Maz’ya [13] for Laplace equation and Lame’ system but not Helmholtz-type equations. As a result different modifications of this original regularization method have been proposed in literature. We consider the Robin-Dirichlet iterative method proposed by Mpinganzima et.al [3] for the Cauchy problem for the Helmholtz equation in bounded domains. We demonstrate that the Robin-Dirichlet iterative procedure is convergent for second order elliptic equations with variable coefficients provided the parameter in the Robin condition is appropriately chosen. We further investigate the convergence of the Robin-Dirichlet iterative procedure for the Cauchy problem for the Helmholtz equation in a an unbounded domain. We derive and analyse the necessary conditions needed for the convergence of the procedure. In the numerical experiments, the precise behaviour of the procedure for different values of k2 in the Helmholtz equation is investigated and the results show that the speed of convergence depends on the choice of the Robin parameters, ?0 and ?1. In the unbounded domain case, the numerical experiments demonstrate that the procedure is convergent provided that the domain is truncated appropriately and the Robin parameters, ?0 and ?1 are also chosen appropriately.
Pointwise Bounds For Solutions Of The Cauchy Problem For Elliptic Equations
DOWNLOAD
Author : George Norman Trytten
language : en
Publisher:
Release Date : 1962
Pointwise Bounds For Solutions Of The Cauchy Problem For Elliptic Equations written by George Norman Trytten and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Differential equations, Partial categories.
An analysis is presented which deals with a technique for approximating the solution to a Cauchy problem for a geneal second-order elliptic patil differential equation defined in an N-dimensional region D. The method is based upon the determination of an a priori bound for the value of an arbitrary function u at a point P in D in terms of the values of u and its gradient on the cauchy surface andA FUNCTIONAL OF THE ELLIPTIC OPERATOR APPLIED TO U. (Author).
Improperly Posed Problems In Partial Differential Equations
DOWNLOAD
Author : L. E. Payne
language : en
Publisher: SIAM
Release Date : 1975-01-01
Improperly Posed Problems In Partial Differential Equations written by L. E. Payne and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-01-01 with Mathematics categories.
Improperly posed Cauchy problems are the primary topics in this discussion which assumes that the geometry and coefficients of the equations are known precisely. Appropriate references are made to other classes of improperly posed problems. The contents include straight forward examples of methods eigenfunction, quasireversibility, logarithmic convexity, Lagrange identity, and weighted energy used in treating improperly posed Cauchy problems. The Cauchy problem for a class of second order operator equations is examined as is the question of determining explicit stability inequalities for solving the Cauchy problem for elliptic equations. Among other things, an example with improperly posed perturbed and unperturbed problems is discussed and concavity methods are used to investigate finite escape time for classes of operator equations.
Computational Methods For Inverse Problems And Applications
DOWNLOAD
Author : Amine Laghrib
language : en
Publisher: Springer Nature
Release Date : 2025-07-24
Computational Methods For Inverse Problems And Applications written by Amine Laghrib and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-24 with Mathematics categories.
This book highlights recent trends in inverse problems and their integration with computer science, a field rapidly evolving yet underexplored mathematically. ICMDS 2024 aims to unite scientists to explore the latest in mathematics and its applications across various scientific disciplines. Key topics include inverse problems, partial differential equations, mathematical control, numerical analysis, and computer science. Our goal is to provide substantial mathematical insights and practical applications to bridge this gap. With its growing significance in media and industry, this event promises to attract a diverse audience and foster collaboration across scientific domains. The main contribution of this book is to give some sufficient mathematical content with expressive results and accurate applications. As a growing field, it is gaining a lot of attention both in media as well as in the industry world, which will attract the interest of readers from different scientist discipline.
Proceedings Of The International Congress Of Mathematicians 2018 Icm 2018 In 4 Volumes
DOWNLOAD
Author : Boyan Sirakov
language : en
Publisher: World Scientific
Release Date : 2019-02-27
Proceedings Of The International Congress Of Mathematicians 2018 Icm 2018 In 4 Volumes written by Boyan Sirakov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-27 with Mathematics categories.
The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
Nonclassical And Inverse Problems For Pseudoparabolic Equations
DOWNLOAD
Author : A. Asanov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-07-24
Nonclassical And Inverse Problems For Pseudoparabolic Equations written by A. Asanov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-24 with Mathematics categories.
No detailed description available for "Nonclassical and Inverse Problems for Pseudoparabolic Equations".