Global existence and decay estimates for nonlinear wave equations with space-time dependent dissipative term
2015 ◽
Vol 12
(02)
◽
pp. 249-276
Keyword(s):
We study the global existence and the derivation of decay estimates for nonlinear wave equations with a space-time dependent dissipative term posed in an exterior domain. The linear dissipative effect may vanish in a compact space region and, moreover, the nonlinear terms need not be in a divergence form. In order to establish higher-order energy estimates, we introduce an argument based on a suitable rescaling. The proposed method is useful to control certain derivatives of the dissipation coefficient.
2003 ◽
Vol 187
(2)
◽
pp. 520-540
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Keyword(s):
1995 ◽
Vol 44
(4)
◽
pp. 0-0
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2000 ◽
Vol 42
(7)
◽
pp. 1231-1252
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2020 ◽
2014 ◽
Vol 490-491
◽
pp. 327-330
1978 ◽
Vol 30
(3)
◽
pp. 375-394
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Keyword(s):
Keyword(s):