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Paper detail

Existence of weak solutions for general nonlocal and nonlinear second-order parabolic equations

In this article, we provide existence results for a general class of nonlocal and nonlinear second-order parabolic equations. The main motivation comes from front propagation theory in the cases when the normal velocity depends on the moving front in a nonlocal way. Among applications, we present level-set equations appearing in dislocations' theory and in the study of Fitzhugh-Nagumo systems.

preprint2008arXivOpen access
Guy BarlesPierre CardaliaguetOlivier LeyAurélien Monteillet
math.AP
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Guy BarlesPierre CardaliaguetOlivier LeyAurélien Monteillet

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