Abstract
We consider the small data global existence of solutions to the $1$-D exterior mixed problem of the equation $u_{tt}-u_{xx} + u_{t} = \vert u\vert^{p}$ . A new lower bound $p = 8/3$ on the nonlinear term and the better decay estimates of solutions can be derived through the new method in [6].
Citation
Ryo Ikehata. "A remark on a critical exponent for the semilinear dissipative wave equation in the one dimensional half space." Differential Integral Equations 16 (6) 727 - 736, 2003. https://doi.org/10.57262/die/1356060609
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