Global existence of solutions for semilinear damped wave equation in 2-D exterior domain |
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| Authors: | Ryo Ikehata |
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| Affiliation: | Department of Mathematics, Graduate School of Education, Hiroshima University, Higashi-Hiroshima 739-8524, Japan |
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| Abstract: | We consider a mixed problem of a damped wave equation utt−Δu+ut=|u|p in the two dimensional exterior domain case. Small global in time solutions can be constructed in the case when the power p on the nonlinear term |u|p satisfies p∗=2
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| Keywords: | Semilinear wave equation Dissipation Mixed problem 2-D exterior domain Radial symmetry Global solution |
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