一类具有混合条件的空间分数扩散方程广义自相似解的整体存在性和爆破性

IF 0.1 Q4 MATHEMATICS

Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2021-01-01 DOI:10.2478/aupcsm-2021-0003

Farid Nouioua, Bilal Basti

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引用次数: 4

摘要

研究了空间分数扩散方程在广义自相似形式下解的存在唯一性问题。因此，通过应用Schauder和Banach不动点定理的性质;我们建立了该方程广义自相似解的整体存在性和爆破性的几个结果。

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Global existence and blow-up of generalized self-similar solutions for a space-fractional diffusion equation with mixed conditions

Abstract This paper investigates the problem of the existence and uniqueness of solutions under the generalized self-similar forms to the space-fractional diffusion equation. Therefore, through applying the properties of Schauder’s and Banach’s fixed point theorems; we establish several results on the global existence and blow-up of generalized self-similar solutions to this equation.

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来源期刊

Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica MATHEMATICS-

自引率

11.10%

发文量

审稿时长

15 weeks