Differential and Integral Equations

A remark on a critical exponent for the semilinear dissipative wave equation in the one dimensional half space

Ryo Ikehata

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].

Article information

Source
Differential Integral Equations, Volume 16, Number 6 (2003), 727-736.

Dates
First available in Project Euclid: 21 December 2012