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Renormalized and entropy solutions for the fractional p-Laplacian parabolic equation with L^1 data
- Publication Year :
- 2017
-
Abstract
- In this paper we introduce a natural function class and prove the existence and uniqueness of both nonnegative renormalized solutions and entropy solutions for the fractional p-Laplacian parabolic problem with L^1 data. And moreover, we obtain the equivalence of renormalized solutions and entropy solutions and establish a comparison result.<br />Comment: 33 pages
- Subjects :
- Mathematics - Analysis of PDEs
35D05 (Primary), 35D10, 46E35 (Secondary)
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1708.04744
- Document Type :
- Working Paper