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Inverse problem with unknown composite external action for hyperbolic equations
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R. R. Safiullova
Published/Copyright:
May 26, 2008
Abstract
In the present paper, the inverse problem with unknown composite right-hand side for second-order linear hyperbolic equations is examined. Solution existence, uniqueness, and stability for the boundary-value problem are established.
Key words.: Hyperbolic equation; unknown external action; inverse problem; regular solution; existence; uniqueness; stability
Published Online: 2008-05-26
Published in Print: 2008-May
© de Gruyter 2008
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Articles in the same Issue
- Inverse problem for parabolic high-order equations
- Multiscale Lavrentiev method for systems of Volterra equations of the first kind
- Recovering memory kernels in parabolic transmission problems
- Impact of conditional stability: Convergence rates for general linear regularization methods
- Differential identities and uniqueness theorem in inverse problem for the Boltzmann–Vlasov equation
- Inverse problem with unknown composite external action for hyperbolic equations
Keywords for this article
Hyperbolic equation;
unknown external action;
inverse problem;
regular solution;
existence;
uniqueness;
stability
Articles in the same Issue
- Inverse problem for parabolic high-order equations
- Multiscale Lavrentiev method for systems of Volterra equations of the first kind
- Recovering memory kernels in parabolic transmission problems
- Impact of conditional stability: Convergence rates for general linear regularization methods
- Differential identities and uniqueness theorem in inverse problem for the Boltzmann–Vlasov equation
- Inverse problem with unknown composite external action for hyperbolic equations
