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Asymptotic behaviour of solutions to one-dimensional reaction diffusion cooperative systems involving infinitesimal generators
ArticleAbstract: The aim of this paper is to study the large-time behaviour of mild solutions to the one-dimensionalPalabras claves:cooperative systems, exponential propagation, Fractional Laplacian, reaction-diffusion systems, Time asymptotic propagationAutores:Miguel YangariFuentes:scopusExponential Propagation for Fractional Reaction–Diffusion Cooperative Systems with Fast Decaying Initial Conditions
ArticleAbstract: We study the time asymptotic propagation of solutions to the reaction–diffusion cooperative systemsPalabras claves:cooperative systems, Fractional Laplacian, Nonlinear Fisher-KPP reaction–diffusion equation, Time asymptotic propagationAutores:Coulon A.C., Miguel YangariFuentes:scopusFast propagation for fractional KPP equations with slowly decaying initial conditions
ArticleAbstract: In this paper we study the large-time behavior of solutions of one-dimensional fractional Fisher-KPPPalabras claves:Aasymptotic behavior, Fractional reaction-diffusion, KPPAutores:Felmer P., Miguel YangariFuentes:scopusExistence and uniqueness for parabolic problems with Caputo time derivative
ArticleAbstract: In this paper we are interested in the well-posedness of fully nonlinear Cauchy problems in which thPalabras claves:Caputo derivative, Comparison principle, Large time behavior, Nonlocal operator, Viscosity solutionsAutores:Miguel Yangari, Topp E.Fuentes:scopusExistence and uniqueness of weak solutions for nonlocal parabolic problems via the Galerkin method
ArticleAbstract: Fractional differential equations are becoming increasingly popular as a modeling tool to describe aPalabras claves:Galerkin method, Nonlocal operator, Nonlocal vector calculus, weak solutionAutores:Miguel YangariFuentes:scopusMONOTONE SYSTEMS INVOLVING VARIABLE-ORDER NONLOCAL OPERATORS
ArticleAbstract: In this paper, we study the existence and uniqueness of bounded viscosity solutions for parabolic HaPalabras claves:Comparison principles, Hamilton-Jacobi, Large time behavior, Variable-order nonlocal operators, Viscosity solutionsAutores:Miguel YangariFuentes:scopusIntegro-differential systems of mixed type involving higher order fractional Laplacian
ArticleAbstract: In this paper, we deal with a new class of non-local operators that we term integro-differential sysPalabras claves:Fourier transform, Higher order fractional Laplacian, integro-differential operators of mixed type, Wilcox formulaAutores:Miguel YangariFuentes:scopusWeakly coupled systems of parabolic Hamilton–Jacobi equations with Caputo time derivative
ArticleAbstract: In this paper we prove existence and uniqueness of bounded viscosity solutions of weakly coupled sysPalabras claves:Caputo derivative, Comparison principles, Large time behavior, Viscosity solutionsAutores:Miguel Yangari, Topp E.Fuentes:scopusPropagation speed for fractional cooperative systems with slowly decaying initial conditions
ArticleAbstract: The aim of this paper is to study the time asymptotic propagation for mild solutions to the fractionPalabras claves:cooperative systems, Fractional Laplacian, Mild solutions, Nonlinear Fisher-KPP, Reaction-diffusion equation, Time asymptotic propagationAutores:Miguel YangariFuentes:scopusSome results for the large time behavior of Hamilton-jacobi equations with caputo time derivative
ArticleAbstract: We obtain some Hölder regularity estimates for an Hamilton-Jacobi with fractional time derivative ofPalabras claves:Caputo derivative, Integro-differential equations, Large time behavior, Nonlinear partial differential equations, RegularityAutores:Ley O., Miguel Yangari, Topp E.Fuentes:scopus