A Two-Phase Parabolic Free Boundary Problem with Coefficients Below the Lipschitz Threshold

Author:

Lindgren Erik,Prajapat Jyotshana V.

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Reference19 articles.

1. Blank, I.: Sharp results for the regularity and stability of the free boundary in the obstacle problem. Indiana Univ. Math. J. 50(3), 1077–1112 (2001)

2. Caffarelli, L.A.: A monotonicity formula for heat functions in disjoint domains. In: Boundary Value Problems for Partial Differential Equations and Applications, RMA Res. Notes Appl. Math., vol. 29, pp. 53–60. Masson, Paris (1993)

3. Caffarelli, L., Petrosyan, A., Shahgholian, H.: Regularity of a free boundary in parabolic potential theory. J. Am. Math. Soc. 17(4), 827–869 (electronic) (2004)

4. Choe, H.J., Weiss, G.S.: A semilinear parabolic equation with free boundary. Indiana Univ. Math. J. 52(1), 19–50 (2003)

5. Edquist, A., Lindgren, E.: Regularity of a parabolic free boundary problem with Hölder continuous coefficients (2010, submitted)

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