Belov Inverse Problems for Partial Differential Equations

Nachdruck 2012
ISBN: 978-3-11-094463-1
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 219 Seiten, Format (B × H): 155 mm x 230 mm

Reihe: ISSN

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.

Zielgruppe

Students, Researchers, and Lecturers in Mathematics and Mathemati

Autoren/Hrsg.

Belov, Yurii Ya.

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

Frontmatter
Preface
Contents
Chapter 1. Auxiliary information from functional analysis and theory of differential equations
Chapter 2. The weak approximation method
Chapter 3. Identification problems for parabolic equations with Cauchy data
Chapter 4. The identification of the source function for a system of composite type and parabolic equation. The behavior of the problem’s solution under t —> + 8
Chapter 5. The problem of determining the coefficient in a parabolic equation and some properties of ist solution
Chapter 6. Two unknown coefficients of a parabolic type equation
Chapter 7. Some inverse boundary value problems
Bibliography

Über Autor(innen)

Belov, Yurii Ya.
Yurii Ya. Belov, Siberian Federal University, Krasnoyarsk, Russia.