Optimal Regularity in Rooftop-Like Obstacle Problem

DOI10.1080/03605302.2010.483265zbMath1202.35358OpenAlexW2002541721MaRDI QIDQ4933519

Tung To, Arshak Petrosyan

Publication date: 14 October 2010

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605302.2010.483265

zbMATH Keywords

free boundaryobstacle problemoptimal regularitymonotonicity formulafrequency formula

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Smoothness and regularity of solutions to PDEs (35B65) Free boundary problems for PDEs (35R35)

Related Items (3)

Kiselman's principle, the Dirichlet problem for the Monge-Ampère equation, and rooftop obstacle problems ⋮ An optimization problem in heat conduction with volume constraint and double obstacles ⋮ Free boundaries on two-dimensional cones

Cites Work

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• The obstacle problem revisited
• The valuation of American call options on the minimum of two dividend-paying assets
• Elliptic partial differential equations of second order
• Some new monotonicity formulas and the singular set in the lower dimensional obstacle problem
• Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
• Unique continuation for elliptic operators: A geometric-variational approach
• Further regularity for the signorini problem
• The Valuation of American Options on Multiple Assets

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