Geodesic
Regularity of a free boundary in parabolic potential theory
Caffarelli, Luis1 ; Petrosyan, Arshak1, 2 ; Shahgholian, Henrik3
1 Department of Mathematics, University of Texas at Austin, Austin, Texas 78712
2 Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
3 Department of Mathematics, Royal Institute of Technology, 100 44, Stockholm, Sweden
Journal of the American Mathematical Society, Tome 17 (2004) no. 4, pp. 827-869

Voir la notice de l'article provenant de la source American Mathematical Society

We study the regularity of the free boundary in a Stefan-type problem \[ \Delta u - \partial _t u = \chi _\Omega \quad \text {in $D\subset \mathbb {R}^n\times \mathbb {R}$}, \qquad u = |\nabla u| = 0 \quad \text {on $D\setminus \Omega $} \] with no sign assumptions on $u$ and the time derivative $\partial _t u$.
DOI : 10.1090/S0894-0347-04-00466-7

Caffarelli, Luis 1 ; Petrosyan, Arshak 1, 2 ; Shahgholian, Henrik 3

1 Department of Mathematics, University of Texas at Austin, Austin, Texas 78712
2 Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
3 Department of Mathematics, Royal Institute of Technology, 100 44, Stockholm, Sweden 
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Caffarelli, Luis; Petrosyan, Arshak; Shahgholian, Henrik. Regularity of a free boundary in parabolic potential theory. Journal of the American Mathematical Society, Tome 17 (2004) no. 4, pp. 827-869. doi: 10.1090/S0894-0347-04-00466-7

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