Regularitat i singularitats en problemes de frontera lliure
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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.
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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How to Cite
Ros-Oton, Xavier; Serra, Joaquim. “Regularitat i singularitats en problemes de frontera lliure”. Butlletí de la Societat Catalana de Matemàtiques, 2020, vol.VOL 35, no. 2, pp. 155-76, https://raco.cat/index.php/ButlletiSCM/article/view/383733.