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Global Attractor for a Wave Equation with Nonlinear Localized Boundary Damping and a Source Term of Critical Exponent

โœ Scribed by Igor Chueshov; Irena Lasiecka; Daniel Toundykov


Publisher
Springer US
Year
2009
Tongue
English
Weight
581 KB
Volume
21
Category
Article
ISSN
1040-7294

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๐Ÿ“œ SIMILAR VOLUMES


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## Abstract In this paper we consider a nonlinear wave equation with damping and source term on the whole space. For linear damping case, we show that the solution blows up in finite time even for vanishing initial energy. The criteria to guarantee blowup of solutions with positive initial energy a

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The long-time behavior of the wave equation with nonmonotone interior damping is considered. It is shown that the semigroup generated by this equation possesses a global attractor in H 1 0 (โ„ฆ ) ร— L 2 (โ„ฆ ).