We treat the Cauchy problem for nonlinear system of viscoelasticity with memory term. We study the existence and time decay of the solution to this nonlinear problem. The kernel of the memory term includes integrable singularity at zero and polynomial decay at infinity. We prove the existence of a global solution for space dimensions $n\geq 3$ and arbitrary quadratic nonlinearities.
Global existence for elastic waves with memory
GUEORGUIEV, VLADIMIR SIMEONOV
2005-01-01
Abstract
We treat the Cauchy problem for nonlinear system of viscoelasticity with memory term. We study the existence and time decay of the solution to this nonlinear problem. The kernel of the memory term includes integrable singularity at zero and polynomial decay at infinity. We prove the existence of a global solution for space dimensions $n\geq 3$ and arbitrary quadratic nonlinearities.File in questo prodotto:
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