Local existence and uniqueness for a semi-linear accretive wave equation

Details Local existence and uniqueness for a semi-linear accretive wave equation Local existence and uniqueness for a semi-linear accretive wave equation

2009-01-27

arxiv.org/abs/0901.4247v2

Physics

Mathematical Physics

Scientific paper

We prove local existence and uniqueness of the solution $(u,u_t)\in
C^0([0,T];H^1\times L^2(\mathbb{R}^N))$ of the semilinear wave equation
$u_{tt}-\Delta u=u_t|u_t|^{p-1}$.

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