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Zbl 1024.35079
Miao, Changxing; Zhang, Bo
$H^{s}$-global well-posedness for semilinear wave equations.
(English)
[J] J. Math. Anal. Appl. 283, No.2, 645-666 (2003). ISSN 0022-247X

The authors derive a priori estimates for semilinear wave equation $u_{tt}-\triangle u=-|u|^{p-1}u$, $(t,x\in \bbfR\times \bbfR^n$, $n\geq 3)$ in order to prove existence and uniqueness of global solution to the Cauchy problem for the equation.
[Marie Kopáčková (Praha)]
MSC 2000:
*35L70 Second order nonlinear hyperbolic equations
35L15 Second order hyperbolic equations, initial value problems
35B40 Asymptotic behavior of solutions of PDE

Keywords: Strichartz estimate; Besov space

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