Regularity of free boundaries a heuristic retro

DOI10.1098/rsta.2015.0209zbMath1353.35319OpenAlexW1924877343WikidataQ38564192 ScholiaQ38564192MaRDI QIDQ2955803

Luis A. Caffarelli, Henrik Shahgholian

Publication date: 13 January 2017

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.2015.0209

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Regularity of solutions in optimal control (49N60) Free boundary problems for PDEs (35R35) Blow-up in context of PDEs (35B44)

Related Items (4)

Obstacle problems and free boundaries: an overview ⋮ A semilinear PDE with free boundary ⋮ Minimal surfaces and free boundaries: Recent developments ⋮ Regularity of free boundaries in obstacle problems for integro-differential operators

Cites Work

• Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
• The obstacle problem revisited
• Asymptotic estimates for the spatial segregation of competitive systems
• Further regularity for the signorini problem
• Variational problems with two phases and their free boundaries
• Sharp results for the regularity and stability of the free boundary in the obstacle problem
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