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- Title
Global Well-Posedness and Analyticity of Generalized Porous Medium Equation in Fourier-Besov-Morrey Spaces with Variable Exponent.
- Authors
Abidin, Muhammad Zainul; Chen, Jiecheng; Miana, Pedro J.
- Abstract
In this paper, we consider the generalized porous medium equation. For small initial data u 0 belonging to the Fourier-Besov-Morrey spaces with variable exponent, we obtain the global well-posedness results of generalized porous medium equation by using the Fourier localization principle and the Littlewood-Paley decomposition technique. Furthermore, we also show Gevrey class regularity of the solution.
- Subjects
POROUS materials; GEVREY class; EXPONENTS; EQUATIONS; LOCALIZATION (Mathematics)
- Publication
Mathematics (2227-7390), 2021, Vol 9, Issue 5, p498
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math9050498