Classical solutions for fractional porous medium flow

Young Pil Choi, In Jee Jeong

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

We consider the fractional porous medium flow introduced by Caffarelli and Vazquez (2011) and obtain local in time existence, uniqueness, and blow-up criterion for smooth solutions. The proof is based on establishing a commutator estimate involving fractional Laplacian operators.

Original languageEnglish
Article number112393
JournalNonlinear Analysis, Theory, Methods and Applications
Volume210
DOIs
Publication statusPublished - 2021 Sept

Bibliographical note

Publisher Copyright:
© 2021 Elsevier Ltd

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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