5 citations · 10 across the 4 of their papers we have counts for
4 papers
Rellich inequalities in bounded domains
G. Metafune, L. Negro, M. Sobajima +1
We find necessary and sufficient conditions for the validity of weighted Rellich inequalities in Lp for functions in bounded domains vanishing at the boundary. General operators li…
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 …
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…
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…