90 citations · 203 across the 19 of their papers we have counts for
21 papers · 1 filter
On the derivative loss for a class of abstract evolution equations with time dependent oscillating coefficients vanishing at initial time
Marina Ghisi, Massimo Gobbino, Michael Reissig
We consider an abstract wave-type evolution equation with a propagation speed depending only on time. We assume that this propagation speed is the product of a monotone, but possib…
Visco-elastic damped wave models with time-dependent coefficient
Halit Sevki Aslan, Michael Reissig
In this paper, we study the following Cauchy problem for linear visco-elastic damped wave models with a general time-dependent coefficient : \begin{equation} \label{EqAbstr…
On the critical regularity of nonlinearities for semilinear classical wave equations
Wenhui Chen, Michael Reissig
In this paper, we consider the Cauchy problem for semilinear classical wave equations \begin{equation*} u_{tt}-Δu=|u|^{p_S(n)}μ(|u|) \end{equation*} with the Strauss exponent $p_S(…
On the critical exponent and sharp lifespan estimates for semilinear damped wave equations with data from Sobolev spaces of negative order
Wenhui Chen, Michael Reissig
We study semilinear damped wave equations with power nonlinearity and initial data belonging to Sobolev spaces of negative order . In the present paper, we ob…
The interplay of critical regularity of nonlinearities in a weakly coupled system of semi-linear damped wave equations
Tuan Anh Dao, Michael Reissig
We would like to study a weakly coupled system of semi-linear classical damped wave equations with moduli of continuity in nonlinearities whose powers belong to the critical curve…
Blow-up of solutions to Nakao's problem via an iteration argument
Wenhui Chen, Michael Reissig
In this paper, we consider blow-up behavior of weak solutions to a weakly coupled system for a semilinear damped wave equation and a semilinear wave equation in . Thi…