Author:
Abidin Muhammad Zainul,Marwan Muhammad
Abstract
AbstractIn 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.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
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