Publication: Global behavior of solutions to an inverse problem for semilinear hyperbolic equations
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KU-Authors
KU Authors
Co-Authors
Eden, A.
Advisor
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Language
English
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Journal Title
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Volume Title
Abstract
This paper is concerned with global in time behavior of solutions for a semilinear, hyperbolic, inverse source problem. We prove two types of results. The first one is a global nonexistence result for smooth solutions when the data is chosen appropriately. The second type of results is the asymptotic stability of solutions when the integral constraint vanishes as t goes to infinity. Bibliography: 22 titles. © 2006 Springer Science+Business Media, Inc.
Description
Source:
Journal of Mathematical Sciences
Publisher:
Springer Nature
Keywords:
Subject
Mathematics