EXISTENCE OF SOLUTIONS FOR GRADIENT SYSTEMS WITH APPLICATION TO DIFFUSION PROBLEMS INVOLVING NONCONVEX ENERGIES

Abstract

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.

Key words: gradient systems, existence of solutions, Galerkin method, type (M) condition, semi-coerciveness, diffusion equations

Sahbi BOUSSANDEL. EXISTENCE OF SOLUTIONS FOR GRADIENT SYSTEMS WITH APPLICATION TO DIFFUSION PROBLEMS INVOLVING NONCONVEX ENERGIES[J].Acta mathematica scientia,Series B, 2018, 38(6): 1767-1778.

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