학술논문
On the global existence and analyticity of the mild solution for the fractional Porous medium equation.
Document Type
Article
Source
Subject
*POROUS materials
*FUNCTION spaces
*SEPARATION of variables
*INTEGRAL equations
*EQUATIONS
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Language
ISSN
1687-2762
Abstract
In this research article we focus on the study of existence of global solution for a three-dimensional fractional Porous medium equation. The main objectives of studying the fractional porous medium equation in the corresponding critical function spaces are to show the existence of unique global mild solution under the condition of small initial data. Applying Fourier transform methods gives an equivalent integral equation of the model equation. The linear and nonlinear terms are then estimated in the corresponding Lei and Lin spaces. Further, the analyticity of solution to the fractional Porous medium equation is also obtained. [ABSTRACT FROM AUTHOR]