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- W608049592 abstract "We study the Cauchy problem for $u_{tt}-Delta u+V(x)|u|^{p-1}u=0$ with $xin R^{n}$. The function $V(x)$ is positive and regular. The exponent $p$ is subcritical or critical. By the aid of Shatah-Struwe technique (cf.[7]), we prove the existence of the global classical solution with suitable hypotheses on $V(x):V(x)>0,3leq nleq 7$ or $V(x)=|x|^{2}$, $n=3$. To approach this second case we cannot follow directly the argument used in [7]: we need and prove weighted nonlinear estimates in Besov spaces." @default.
- W608049592 created "2016-06-24" @default.
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- W608049592 date "2000-06-01" @default.
- W608049592 modified "2023-09-27" @default.
- W608049592 title "Nonlinear wave equation with potential" @default.
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- W608049592 doi "https://doi.org/10.21099/tkbjm/1496164047" @default.
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