Classical solutions for fractional porous medium flow

Young Pil Choi, In Jee Jeong

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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
Publication statusPublished - 2021 Sept

Bibliographical note

Funding Information:
We thank Sung-Jin Oh for helpful conversations regarding degenerate parabolic equations and pseudo-differential calculus. YPC has been supported by NRF, Republic of Korea grant (No. 2017R1C1B2012918 ), POSCO Science Fellowship of POSCO TJ Park Foundation , and Yonsei University Research Fund of 2019-22-0212 and 2020-22-0505. IJJ has been supported by the New Faculty Startup Fund from Seoul National University, Republic of Korea , the Science Fellowship of POSCO TJ Park Foundation, and the National Research Foundation of Korea grant (No. 2019R1F1A1058486 ).

Publisher Copyright:
© 2021 Elsevier Ltd

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics


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