Regularity of higher order in two-phase free boundary problems

De Silva, Daniela; Ferrari, Fausto; Salsa, Sandro

doi:10.1090/tran/7550

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 $C^{2,\gamma }.$

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