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Decay of semilinear damped wave equations: cases without geometric control condition. (Décroissance pour des équations des ondes semilinéaire amorties: des cas sans la condition de contrôle géométrique.) (English. French summary) Zbl 1458.35058

The authors consider the semilinear damped wave equation and they obtain results concerning the stabilization of this semilinear equation in cases where damping coefficent does not satisfy the geometric control condition. For the same problem, we have the following paper [K. Ammari et al., Math. Control Relat. Fields 6, No. 1, 1–25 (2016; Zbl 1331.35235)].

MSC:

35B40 Asymptotic behavior of solutions to PDEs
35L71 Second-order semilinear hyperbolic equations
35L20 Initial-boundary value problems for second-order hyperbolic equations
35B60 Continuation and prolongation of solutions to PDEs

Citations:

Zbl 1331.35235
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References:

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