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Global existence of weak solutions for two-dimensional semilinear wave equations with strong damping in an exterior domain
Authors:Ryo Ikehata  Yu-ki Inoue
Affiliation:Department of Mathematics, Graduate School of Education, Hiroshima University, Higashi-Hiroshima, 739-8524, Japan
Abstract:We consider two-dimensional mixed problems in an exterior domain for a semilinear strongly damped wave equation with a power-type nonlinearity |u|p|u|p. If the initial data have a small weighted energy, we shall derive a global existence and energy decay results in the case when the power pp of the nonlinear term satisfies p>6p>6.
Keywords:Primary, 35L05   Secondary, 35B40
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