Regularity of higher order in two-phase free boundary problems
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- by Daniela De Silva, Fausto Ferrari and Sandro Salsa PDF
- Trans. Amer. Math. Soc. 371 (2019), 3691-3720 Request permission
Abstract:
We develop further our strategy from our 2014 paper showing that flat or Lipschitz-free boundaries of two-phase problems with forcing terms are locally $C^{2,\gamma }.$References
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Additional Information
- Daniela De Silva
- Affiliation: Department of Mathematics, Barnard College, Columbia University, New York, New York 10027
- MR Author ID: 681940
- Email: desilva@math.columbia.edu
- Fausto Ferrari
- Affiliation: Dipartimento di Matematica dell’Università di Bologna, Piazza di Porta S. Donato, 5, 40126 Bologna, Italy
- MR Author ID: 366964
- Email: fausto.ferrari@unibo.it
- Sandro Salsa
- Affiliation: Dipartimento di Matematica del Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133 Milano, Italy
- MR Author ID: 153615
- Email: sandro.salsa@polimi.it
- Received by editor(s): May 23, 2017
- Received by editor(s) in revised form: February 20, 2018
- Published electronically: September 25, 2018
- Additional Notes: The second author is supported by INDAM-GNAMPA 2017: Regolarità delle soluzioni viscose per equazioni a derivate parziali non lineari degeneri.
- © Copyright 2018 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 371 (2019), 3691-3720
- MSC (2010): Primary 35B65
- DOI: https://doi.org/10.1090/tran/7550
- MathSciNet review: 3896127