Abstract
Consider a semilinear hyperbolic boundary value problem associated to the nonlinear generalized viscoelastic equations with Direchlet-Neumann boundary conditions. Then, the global existence of a weak solution is established. The uniqueness of the solution has been obtained by eliminating some hypotheses that have been imposed by other authors for different particular problems.
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Rahmoune, A. Semilinear Hyperbolic Boundary Value Problem Associated to the Nonlinear Generalized Viscoelastic Equations. Acta Math Vietnam 43, 219–238 (2018). https://doi.org/10.1007/s40306-017-0229-9
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DOI: https://doi.org/10.1007/s40306-017-0229-9
Keywords
- Global existence
- General damped
- Nonlinear viscoelastic
- Generalized Lebesgue space
- Sobolev spaces with variable exponents
- Memory term