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

✍ Scribed by A. Eden; V. K. Kalantarov

Publisher
Springer US
Year
2006
Tongue
English
Weight
386 KB
Volume
136
Category
Article
ISSN
1573-8795

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πŸ“œ SIMILAR VOLUMES

The asymptotic behavior of solutions to
The asymptotic behavior of solutions to an inverse problem for differential operator equations
✍ A.F. GΓΌvenilir; V.K. Kalantarov πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 484 KB

## we show that, under some conditions, all solutions of the inverse problem for a class of first-order and second-order linear differential operator equations in a Hilbert space tend to zero when t -+ co. Applications to inverse problems for the heat equation and damped wave equations are given.

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Global Cauchy problem for semilinear hyperbolic systems with nonlocal interactions. Applications to Dirac equations
✍ Alain Bachelot πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 378 KB

We investigate the global Cauchy problem for a class of semilinear hyperbolic systems where the interaction can be nonlocal in space and time. We establish global existence theorems for the initial value problem when the nonlinearity is dissipative in a weak sense, and satisfies the causality condit