Some direct and inverse problems of mathematical physics: Stationary and non-stationary diffusion

Orazov, Issabek

ISBN 10: 3659523178 / ISBN 13: 9783659523175

Published by LAP LAMBERT Academic Publishing, 2018

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Bibliographic Details

• Title: Some direct and inverse problems of mathematical physics: Stationary and non-stationary diffusion
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2018
• Language: English
• ISBN 10: 3659523178
• ISBN 13: 9783659523175
• Binding: Soft cover
• Condition: New

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Synopsis

The problems of nonlocal type have been repeatedly studied earlier. The main principal property of these problems is their non-selfadjointness. It causes the main difficulties in their analytical and numerical solutions. Assuming strong singularity of boundary conditions of the problem, the well-posedness of its formulation can be proved by Fourier method of separation of variables. The problems, boundary conditions of which do not have the property of strong regularity are less studied. We have considered the question of existence of the regular and strong solution of a differential problem, its uniqueness and stability of initial data in various metrics. The monograph also deals with inverse problems. The monograph is intended for specialists in the field of differential equations and the theory of differential operators, doctoral students, as well as for undergraduates and senior students specializing in this field. And also can be used for drawing up of special courses on differential equations in higher educational institutions.