Interfaces and Free Boundaries


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Volume 7, Issue 1, 2005
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Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem
Xiaobing Feng and Andreas Prohl
pp. 1–28
Abstract | Full-Text PDF (271 KB) | Metadata

Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow
Fran├žois Alter, Vicent Caselles and Antonin Chambolle
pp. 29–53
Abstract | Full-Text PDF (366 KB) | Metadata

Geometric properties of Bernoulli-type minimizers
Arshak Petrosyan and Enrico Valdinoci
pp. 55–78
Abstract | Full-Text PDF (177 KB) | Metadata

American options and the free boundary exercise region: a PDE approach
Gregory Rapuch
pp. 79–98
Abstract | Full-Text PDF (163 KB) | Metadata

Critical size of crystals in the plane
Przemyslaw Gorka
pp. 99–105
Abstract | Full-Text PDF (69 KB) | Metadata

Phase transitions and sharp-interface limits for the 1d-elasticity system with non-local energy
Christian Rohde
pp. 107–129
Abstract | Full-Text PDF (250 KB) | Metadata