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20182026
most citedThe Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case

84 citations · 440 across the 50 of their papers we have counts for

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math.AP2018★ 6 cited

Decay properties and asymptotic profiles for elastic waves with Kelvin-Voigt damping in 2D

Wenhui Chen

In this paper we consider elastic waves with Kelvin-Voigt damping in 2D. For the linear problem, applying pointwise estimates of the partial Fourier transform of solutions in the F…

math.AP2018

An application of estimates to weakly coupled systems of semilinear viscoelastic wave equations

Yan Liu, Wenhui Chen

We consider weakly coupled systems of semilinear viscoelastic wave equations with different power source nonlinearities in , as follows: \begin{equation*} \l…

math.AP2018★ 17 cited

Weakly coupled system of semilinear wave equations with distinct scale-invariant terms in the linear part

Wenhui Chen, Alessandro Palmieri

In this work we determine the critical exponent for a weakly coupled system of semilinear wave equations with distinct scale-invariant lower order terms, when these terms make both…

math.AP2018

Weakly coupled systems of semi-linear Klein-Gordon equations with memory-type dissipation

Wenhui Chen, Abdelhamid Mohammed Djaouti

We are concerned with the existence of global in time solutions to the Cauchy problem for semi-linear Klein-Gordon equations with memory-type dissipation in . In the…

math.AP2018★ 10 cited

Weakly coupled systems of semi-linear elastic waves with different damping mechanisms in 3D

Wenhui Chen, Michael Reissig

We consider the following Cauchy problem for weakly coupled systems of semi-linear damped elastic waves with a power source non-linearity in three-dimensions: \begin{equation*} U_{…