Publication:
Global behavior of solutions to an inverse problem for semilinear hyperbolic equations

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Eden, A.

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English

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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.

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Journal of Mathematical Sciences

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Springer Nature

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Mathematics

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