Two-Phase Anisotropic Free Boundary Problems and Applications to the Bellman Equation in 2D-Reference-Cited by-同舟云学术

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Two-Phase Anisotropic Free Boundary Problems and Applications to the Bellman Equation in 2D

Published:2017-11-27 Issue:2 Volume:228 Page:477-493
ISSN:0003-9527
Container-title:Archive for Rational Mechanics and Analysis
language:en
Short-container-title:Arch Rational Mech Anal

Author:

Caffarelli L.,De Silva D.,Savin O.

Funder

National Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Link

http://link.springer.com/article/10.1007/s00205-017-1198-9/fulltext.html

Reference17 articles.

1. Alt H.W., Caffarelli L.A., Friedman A.: Variational problems with two phases and their free boundaries. Trans. Am. Math. Soc. 282(2), 431–461 (1984)

2. Andersson J., Mikayelyan H.: The zero level set for a certain weak solution, with applications to the Bellman equations. Trans. Am. Math. Soc. 365(5), 2297–2316 (2013)

3. Bernstein S.: Uber ein geometrisches Theorem und seine Anwendung auf die partiellen Dif- ferentialgleichungen vom elliptischen Typus. Math. Z. 26, 551–558 (1927)

4. Brezis H., Evans L.C.: A variational inequality approach to the Bellman–Dirichlet equation for two elliptic operators. Arch. Ration. Mech. Anal. 71, 1–13 (1979)

5. Caffarelli L.A., Jerison D., Kenig C.E.: Some new monotonicity theorems with applications to free boundary problems. Ann. Math. (2) 155(2), 369–404 (2002)

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