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Existence of solutions for gradient systems with application to diffusion problems involving nonconvex energies |
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| Authors: | Sahbi BOUSSANDEL |
| Institution: | Département de Mathématiques, Faculté des Sciences de Bizerte, 7021 Jarzouna Bizerte-Laboratoire, EDP et Applications LR03ES04, Tunisia |
| Abstract: | In this paper, we establish the existence of solutions for gradient systems of evolution under some type (M) and semi-coerciveness conditions. The main result is applied in order to solve nonlinear diffusion equations involving nonconvex energies. |
| Keywords: | gradient systems existence of solutions Galerkin method type (M) condition semi-coerciveness diffusion equations 34A12 35K57 47J35 |
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