Nonlocal time porous medium equation with fractional time derivative

被引：0

作者：

Jean-Daniel Djida

Juan J. Nieto

Iván Area

机构：

[1] Universidade de Santiago de Compostela,Instituto de Matemáticas, Departamento de Estatística, Análise Matemática e Optimización

[2] African Institute for Mathematical Sciences,Departamento de Matemática Aplicada II, E.E. Aeronáutica e do Espazo

[3] AIMS-Cameroon,undefined

[4] Universidade de Vigo,undefined

来源：

Revista Matemática Complutense | 2019年 / 32卷

关键词：

Nonlinear fractional diffusion; Regularity; Nonlocal diffusion; Fractional Laplacian; Fractional derivatives; Existence of weak solutions; Energy estimates; 35B65; 26A33; 35K55;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider nonlinear nonlocal diffusive evolution equations, governed by a Lévy-type nonlocal operator, fractional time derivative and involving porous medium type nonlinearities. Existence and uniqueness of weak solutions are established using approximating solutions and the theory of maximal monotone operators. Using the De Giorgi–Nash–Moser technique, we prove that the solutions are bounded and Hölder continuous for all positive time.

引用

页码：273 / 304

页数：31

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