Inverse Problems for Partial Differential Equations

This monograph is devoted to identification problems of coefficients in equations of mathematical physics. It invesitgates the existence and uniqueness of the solutions for identification coefficient problems in parabolic and hyperbolic equations and equation systems of composite type. The problems...

Full description

Bibliographic Details
Main Author: Belov, Yurii Ya.
Format: eBook
Language:English
Published: Berlin De Gruyter 2012, [2012]©2002
Edition:Reprint 2012
Series:Inverse and Ill-Posed Problems Series
Subjects:
Online Access:
Collection: DeGruyter MPG Collection - Collection details see MPG.ReNa
Description
Summary:This monograph is devoted to identification problems of coefficients in equations of mathematical physics. It invesitgates the existence and uniqueness of the solutions for identification coefficient problems in parabolic and hyperbolic equations and equation systems of composite type. The problems are studied with the Cauchy data and equations in which the Fourier transform with respect to the chosen variable is supposed to occur. Differential properties of the solutions for the original direct problems and their behavior under great values of time are studied on the basis of solution properties for direct problems. The identification problems with one or two unknown coefficients are also investigated. For initial boundary value conditions linear and nonlinear parabolic equations are studied
Item Description:Mode of access: Internet via World Wide Web
Physical Description:219 p.
ISBN:9783110944631