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Title
Kernel determination problems in hyperbolic integro-differential equations / Durdimond K. Durdiev, Zhanna D. Totieva.
ISBN
9789819922604 electronic book
9819922607 electronic book
9819922593
9789819922598
Published
Singapore : Springer, [2023]
Language
English
Description
1 online resource (xxvi, 368 pages).
Item Number
10.1007/978-981-99-2260-4 doi
Call Number
QA377 .D87 2023
Dewey Decimal Classification
515/.353
Summary
This book studies the construction methods for solving one-dimensional and multidimensional inverse dynamical problems for hyperbolic equations with memory. The theorems of uniqueness, stability and existence of solutions of these inverse problems are obtained. This book discusses the processes, by using generalized solutions, the spread of elastic or electromagnetic waves arising from sources of the type of pulsed directional impacts or explosions. This book presents new results in the study of local and global solvability of kernel determination problems for a half-space. It describes the problems of reconstructing the coefficients of differential equations and the convolution kernel of hyperbolic integro-differential equations by the method of Dirichlet-to-Neumann. The book will be useful for researchers and students specializing in the field of inverse problems of mathematical physics.
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Source of Description
Description based on online resource; title from digital title page (viewed on July 12, 2023).
Series
Infosys Science Foundation series. Mathematical sciences.
Chapter 1: Local Solvability of One-dimensional Kernel Determination Problems
Chapter 2: The Solvability of Multidimensional Inverse Problems of a Memory Kernel Determination
Chapter 3: Global Solvability of Memory Reconstruction Problems
Chapter 4: Stability in Inverse Problems for Determining Two Unknowns
Chapter 5: Two-dimensional Special Kernel Determination Problems
Chapter 6: Some Inverse Problems of Viscoelasticity System with the Known Kernel
Chapter 7: Kernel Identification Problems in a Viscoelasticity System
Chapter 1:Dirichlet-to-Neumann Maps Method in Kernel Determining Problems.
