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Global well-posedness for effectively damped wave models with nonlinear memory

Global well-posedness for effectively damped wave models with nonlinear memory

<p style='text-indent:20px;'>In this paper, we study the Cauchy problem for a special family of effectively damped wave models with nonlinear memory on the right-hand side. Our goal is to prove global (in time) well-posedness results for Sobolev solutions. Due to the effective dissipation the model is parabolic like from the …