Main Inverse Problems for Partial Differential Equations

Inverse Problems for Partial Differential Equations

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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.
Request Code : ZLIBIO3853359
Categories:
Year:
2012
Edition:
Reprint 2012
Publisher:
De Gruyter
Language:
English
Pages:
219
ISBN 13:
9783110944631
ISBN:
9783110944631
Series:
Inverse and Ill-Posed Problems Series; 32

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