Sharp Global Existence for Semilinear Wave Equation with Small Data
نویسندگان
چکیده
The global existence in time for nonlinear wave equation with small data usually require high Sobolev regularity, when one dealt with them by classical energy method (see [Kl85] [Ch85]). The purpose of this note is to give the sharp regularity global existence for semilinear equation with the power nonlinearity of the derivative, the counterpart of quasilinear equation or the quadratic nonlinearity seems still unreachable. Consider the following Cauchy problem(denote := ∂2 t −∆ and ∂ = (∂t, ∂x))
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تاریخ انتشار 2008