Improperly Posed Problems in Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Improperly Posed Problems in Partial Differential Equations write by L. E. Payne. This book was released on 1975-01-01. Improperly Posed Problems in Partial Differential Equations available in PDF, EPUB and Kindle. 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.
Non-Standard and Improperly Posed Problems
Non-Standard and Improperly Posed Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-Standard and Improperly Posed Problems write by William F. Ames. This book was released on 1997-07-07. Non-Standard and Improperly Posed Problems available in PDF, EPUB and Kindle. Written by two international experts in the field, this book is the first unified survey of the advances made in the last 15 years on key non-standard and improperly posed problems for partial differential equations.This reference for mathematicians, scientists, and engineers provides an overview of the methodology typically used to study improperly posed problems. It focuses on structural stability--the continuous dependence of solutions on the initial conditions and the modeling equations--and on problems for which data are only prescribed on part of the boundary. The book addresses continuous dependence on initial-time and spatial geometry and on modeling backward and forward in time. It covers non-standard or non-characteristic problems, such as the sideways problem for a heat or hyberbolic equation and the Cauchy problem for the Laplace equation and other elliptic equations. The text also presents other relevant improperly posed problems, including the uniqueness and continuous dependence for singular equations, the spatial decay in improperly posed parabolicproblems, the uniqueness for the backward in time Navier-Stokes equations on an unbounded domain, the improperly posed problems for dusty gases, the linear thermoelasticity, and the overcoming Holder continuity and image restoration. Provides the first unified survey of the advances made in the last 15 years in the field Includes an up-to-date compendium of the mathematical literature on these topics
Improperly Posed Boundary Value Problems
Improperly Posed Boundary Value Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Improperly Posed Boundary Value Problems write by Alfred Carasso. This book was released on 1975. Improperly Posed Boundary Value Problems available in PDF, EPUB and Kindle.
IMPROPERLY POSED PROBLEMS IN PARTIAL DIFFERENTIAL EQUATIONS- LECTURES DELIVERED AT A SUMMER REGIONAL CONFERENCE- REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS- CONFERENCE BOARD OF THE MATHEMATICAL SCIENCES.
IMPROPERLY POSED PROBLEMS IN PARTIAL DIFFERENTIAL EQUATIONS- LECTURES DELIVERED AT A SUMMER REGIONAL CONFERENCE- REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS- CONFERENCE BOARD OF THE MATHEMATICAL SCIENCES. - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook IMPROPERLY POSED PROBLEMS IN PARTIAL DIFFERENTIAL EQUATIONS- LECTURES DELIVERED AT A SUMMER REGIONAL CONFERENCE- REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS- CONFERENCE BOARD OF THE MATHEMATICAL SCIENCES. write by . This book was released on . IMPROPERLY POSED PROBLEMS IN PARTIAL DIFFERENTIAL EQUATIONS- LECTURES DELIVERED AT A SUMMER REGIONAL CONFERENCE- REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS- CONFERENCE BOARD OF THE MATHEMATICAL SCIENCES. available in PDF, EPUB and Kindle.
Some Improperly Posed Problems of Mathematical Physics
Some Improperly Posed Problems of Mathematical Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Some Improperly Posed Problems of Mathematical Physics write by Michail M. Lavrentiev. This book was released on 2013-03-13. Some Improperly Posed Problems of Mathematical Physics available in PDF, EPUB and Kindle. This monograph deals with the problems of mathematical physics which are improperly posed in the sense of Hadamard. The first part covers various approaches to the formulation of improperly posed problems. These approaches are illustrated by the example of the classical improperly posed Cauchy problem for the Laplace equation. The second part deals with a number of problems of analytic continuations of analytic and harmonic functions. The third part is concerned with the investigation of the so-called inverse problems for differential equations in which it is required to determine a dif ferential equation from a certain family of its solutions. Novosibirsk June, 1967 M. M. LAVRENTIEV Table of Contents Chapter I Formu1ation of some Improperly Posed Problems of Mathematic:al Physics § 1 Improperly Posed Problems in Metric Spaces. . . . . . . . . § 2 A Probability Approach to Improperly Posed Problems. . . 8 Chapter II Analytic Continuation § 1 Analytic Continuation of a Function of One Complex Variable from a Part of the Boundary of the Region of Regularity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 § 2 The Cauchy Problem for the Laplace Equation . . . . . . . 18 § 3 Determination of an Analytic Function from its Values on a Set Inside the Domain of Regularity. . . . . . . . . . . . . 22 § 4 Analytic Continuation of a Function of Two Real Variables 32 § 5 Analytic Continuation of Harmonic Functions from a Circle. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 § 6 Analytic Continuation of Harmonic Function with Cylin drical Symmetry . . . . . . . . . . . . . . . . . . . . . . . . . 42 Chapter III Inverse Problems for Differential Equations § 1 The Inverse Problem for a Newtonian Potential . . . . . . .
