Regularitat i singularitats en problemes de frontera lliure

Authors

  • Xavier Ros-Oton
  • Joaquim Serra

Abstract

Free boundary problems are those described by PDEs that exhibit a priori unknown (free) interfaces or boundaries. The most classical example is the melting of ice to water (the Stefan problem). In this case, the free boundary is the liquid-solid interface between ice and water. A central mathematical challenge in this context is to understand the regularity and singularities of free boundaries. In this paper we provide an introduction to this topic by presenting some recent results by Alessio Figalli and the authors.

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Published

2021-02-17

How to Cite

Ros-Oton, X., & Serra, J. (2021). Regularitat i singularitats en problemes de frontera lliure. Butlletí De La Societat Catalana De Matemàtiques, 35(2), 155–176. Retrieved from https://revistes.iec.cat/index.php/BSCM/article/view/109250.003

Issue

Vol. 35 No. 2 (2020)

Section

Articles

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