3 papers
math.AP2025
Sharp behavior of semilinear damped wave equations driven by mixed local-nonlocal operators
Wenhui Chen, Tuan Anh Dao
This paper investigates the Cauchy problem for the semilinear damped wave equation with the mixed local-nonlocal operator $\mathcal{L}_{a,b}:=…
math.AP2025
Global in-time rough large data solution to complex-valued semilinear damped evolution equations
Wenhui Chen, Michael Reissig
We study the semilinear Cauchy problem for complex-valued damped evolution equations \begin{align*} \partial_t^2u+(-Î)^Ïu+(-Î)^δ\partial_tu=u^p,\ \ u(0,x)=u_0(x),\ \partial_tu(…
math.AP2025
Sharp lifespan estimates for semilinear fractional evolution equations with critical nonlinearity
Wenhui Chen, Giovanni Girardi
In this paper we consider semilinear wave equation and other second order -evolution equations with different (effective or non-effective) damping mechanisms driven by fraction…