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math.AP2017
Remark on upper bound for lifespan of solutions to semilinear evolution equations in a two-dimensional exterior domain
Masahiro Ikeda, Motohiro Sobajima
In this paper we consider the initial-boundary value problem for the heat, damped wave, complex-Ginzburg-Landau and Schr"odinger equations with the power type nonlinearity …
math.AP2017★ 5 cited
Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data
Masahiro Ikeda, Motohiro Sobajima
This paper is concerned with the blowup phenomena for initial value problem of semilinear wave equation with critical time-dependent damping term (DW). The result is the sharp uppe…
math.AP2017★ 5 cited
Life-span of blowup solutions to semilinear wave equation with space-dependent critical damping
Masahiro Ikeda, Motohiro Sobajima
This paper is concerned with the blowup phenomena for initial value problem of semilinear wave equation with critical space-dependent damping term (DW:). The main result of the…