Abstract
We prove the existence and uniqueness of global smooth solutions to the Dirichlet initial-boundary problem in nonlinear $n$-dimensional viscoelasticity of integral type for small initial data in $H^{s_0}(\Omega)$, where $s_0$ is an integer smaller than that needed to establish the local existence. Moreover, the exponential decay of the solution is obtained.
Citation
Song Jiang. Jaime E. Muñoz Rivera. "A global existence theorem for the Dirichlet problem in nonlinear $n$-dimensional viscoelasticity." Differential Integral Equations 9 (4) 791 - 810, 1996. https://doi.org/10.57262/die/1367969888
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