On the singular set of the parabolic obstacle problem

Blanchet, Adrien

Blanchet, Adrien (2006), On the singular set of the parabolic obstacle problem, Journal of Differential Equations, 231, 2, p. 656-672. http://dx.doi.org/10.1016/j.jde.2006.05.013

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Type

Article accepté pour publication ou publié

Date

2006

Journal name

Journal of Differential Equations

Volume

231

Number

Publisher

Elsevier

Pages

656-672

Abstract (EN)

This paper is devoted to regularity results and geometric properties of the singular set of the parabolic obstacle problem with variable right-hand side. Making use of a monotonicity formula for singular points, we prove the uniqueness of blow-up limits at singular points. These results apply to parabolic obstacle problem with variable coefficients.

Subjects / Keywords

Parabolic obstacle problem; Free boundary; Singular points; Singular set; Monotonicity formula