Kerun Shao

collaborators

3 papers

math.AP2025

Slicing method for nonlinear integral inequalities related to critical nonlinear wave equations

Takiko Sasaki, Kerun Shao, Hiroyuki Takamura

This paper is devoted to a simple and short proof on the sharp upper bound of lifespan of classical solutions to wave equations with the critical power nonlinearities of spatial de…

math.AP2024

Criteria of the existence of global solutions to semilinear wave equations with first-order derivatives on exterior domains

Kerun Shao

We study the existence of global solutions to semilinear wave equations on exterior domains $R^{n} ∖ K$ , $n \geq 2$ , with small initial data and nonlinear term…

math.AP2024

Blow-up of solutions to semilinear wave equations with spatial derivatives

Kerun Shao, Hiroyuki Takamura, Chengbo Wang

For small-amplitude semilinear wave equations with power type nonlinearity on the first-order spatial derivative, the expected sharp upper bound on the lifespan of solutions is obt…