6th Symposium on Analysis and PDEs
نویسندگان
چکیده
Free boundaries arise as the interface betweenmaterials inwhich thematerials retain some energy. In contrast, the interface represented by a minimal surface lives in an ambient space that is empty. Despite this difference between these two types of interfaces, there are deep connections between them. In a ground-breaking paper in 1980, Alt and Caffarelli showed that strategies and tools from the theory of minimal surfaces yield fundamental regularity theorems for free boundaries. The field has exploded since then.
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