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Merle, Frank; Zaag, Hatem

Determination of the blow-up rate for a critical semilinear wave equation. (English) Zbl 1136.35055

Math. Ann. 331, No. 2, 395-416 (2005).
Summary: In this paper, we determine the blow-up rate for the semilinear wave equation \(u_{tt}-\Delta u=|u|^{p-1}u\) with critical power nonlinearity \(p=1+4/(N-1)\), \(N\geq 2\) related to the conformal invariance.

Cited in 43 Documents

MSC:

35L70 Second-order nonlinear hyperbolic equations
35L15 Initial value problems for second-order hyperbolic equations
35B40 Asymptotic behavior of solutions to PDEs
35B33 Critical exponents in context of PDEs

Keywords:

critical power nonlinearity; conformal invariance
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\textit{F. Merle} and \textit{H. Zaag}, Math. Ann. 331, No. 2, 395--416 (2005; Zbl 1136.35055)
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References:

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