152 citations · 152 across the 5 of their papers we have counts for
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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+(-Δ)^σu+(-Δ)^δ\partial_tu=u^p,\ \ u(0,x)=u_0(x),\ \partial_tu(0,x)…
Evolution models with time-dependent coefficients in friction and viscoelastic damping terms
Halit Sevki Aslan, Michael Reissig
We study the following Cauchy problem for the linear wave equation with both time-dependent friction and time-dependent viscoelastic damping: \begin{equation} \label{EqAbstract}\ta…
Critical curve for a weakly coupled system of semi-linear -evolution equations with different damping types
Dinh Van Duong, Tuan Anh Dao, Michael Reissig
In this paper, we would like to consider the Cauchy problem for a weakly coupled system of semi linear evolution equations with different damping mechanisms for any ,…
Critical regularity of nonlinearities in semilinear classical damped wave equations
Marcelo Rempel Ebert, Giovanni Girardi, Michael Reissig
In this paper we consider the Cauchy problem for the semilinear damped wave equation where $h(s) = |s|^{1+2/n}…
Semi-linear structural damped waves
Marcello D'Abbicco, Michael Reissig
We study the global existence of small data solutions for Cauchy problem for the semi-linear structural damped wave equation with source term.