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A global existence result for two-dimensional semilinear strongly damped wave equation with mixed nonlinearity in an exterior domain
Wenhui Chen, Ahmad Z. Fino
We study two-dimensional semilinear strongly damped wave equation with mixed nonlinearity in an exterior domain, where . Assuming the smallness of initial da…
Nonexistence of global weak solutions for evolution equations with fractional Laplacian
Ahmad Z. Fino, Evgeny I. Galakhov, Olga A. Salieva
In this paper, we are interested to analyze a nonlocal nonlinear parabolic equation with fractional Laplacian. We show that there are no nontrivial global weak solutions using the…
Blow-up of solutions to semilinear strongly damped wave equations with different nonlinear terms in an exterior domain
Wenhui Chen, Ahmad Z. Fino
In this paper, we consider the initial boundary value problem in an exterior domain for semilinear strongly damped wave equations with power nonlinear term of the derivative-type $…
Finite time blow up for wave equations with strong damping in an exterior domain
Ahmad Fino
We consider the initial boundary value problem in exterior domain for strongly damped wave equations with power type nonlinearity |u|^p. We will establish blow-up results under som…
The Cauchy problem for heat equation with fractional Laplacian and exponential nonlinearity
Ahmad Fino, Mokhtar Kirane
We consider the Cauchy problem for heat equation with fractional Laplacian and exponential nonlinearity. We establish local well-posedness result in Orlicz spaces. We derive the ex…