Existence and uniqueness for Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral condition. (English) Zbl 1484.35051
Summary: This manuscript deals with the existence and uniqueness for the fourth order of Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral condition by using Galerkin’s method.
MSC:
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
| 35A02 | Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness |
| 35L35 | Initial-boundary value problems for higher-order hyperbolic equations |
| 35L76 | Higher-order semilinear hyperbolic equations |
| 35R09 | Integro-partial differential equations |
| 35B30 | Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs |
| 35Q35 | PDEs in connection with fluid mechanics |
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