Some direct and inverse problems of mathematical physics: Stationary and non-stationary diffusion von Orazov, Issabek: New (2018)

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Bibliografische Details

Titel: Some direct and inverse problems of mathematical physics: Stationary and non-stationary diffusion
Verlag: LAP LAMBERT Academic Publishing
Erscheinungsjahr: 2018
Sprache: Englisch
ISBN-10: 3659523178
ISBN-13: 9783659523175
Einband: Softcover
Zustand: New

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Inhaltsangabe

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.

Rese�a del editor

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.

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