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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+(-Δ)^σu+(-Δ)^δ\partial_tu=u^p,\ \ u(0,x)=u_0(x),\ \partial_tu(0,x)…
math.AP2025
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…