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2006 Continuity of parabolic $Q$-minima under the presence of irregular obstacles
Catarina Petersson
Adv. Differential Equations 11(12): 1397-1436 (2006).

Abstract

We study the pointwise continuity of functions satisfying a certain inequality, deducible from parabolic obstacle problems and valid also for parabolic Q-minima. Employing techniques going back to De Giorgi, we give conditions on the obstacles sufficient to imply continuity of the solution. These conditions are formulated as inequalities for the capacities of sub- and super-level sets of the obstacles, and thus also thin obstacles are considered.

Citation

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Catarina Petersson. "Continuity of parabolic $Q$-minima under the presence of irregular obstacles." Adv. Differential Equations 11 (12) 1397 - 1436, 2006.

Information

Published: 2006
First available in Project Euclid: 18 December 2012

zbMATH: 1154.35324
MathSciNet: MR2276858

Subjects:
Primary: 35K55
Secondary: 35B65, 35K65, 35K85

Rights: Copyright © 2006 Khayyam Publishing, Inc.

JOURNAL ARTICLE
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Vol.11 • No. 12 • 2006
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