Stability for parabolic quasiminimizers

Fujishima Y, Habermann J, Kinnunen J, Masson M (2014)

Publication Type: Journal article

Publication year: 2014

Journal

Potential Analysis Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 41

Pages Range: 983-1004

DOI: 10.1007/s11118-014-9404-y

Abstract

This paper studies parabolic quasiminimizers which are solutions to parabolic variational inequalities. We show that, under a suitable regularity condition on the boundary, parabolic Q-quasiminimizers related to the parabolic p-Laplace equations with given boundary values are stable with respect to parameters Q and p. The argument is based on variational techniques, higher integrability results and regularity estimates in time. This shows that stability does not only hold for parabolic partial differential equations but it also holds for variational inequalities. © 2014 Springer Science+Business Media Dordrecht.

Authors with CRIS profile

Jens Habermann Naturwissenschaftliche Fakultät

Involved external institutions

Aalto University Espoo FI Finland (FI) Osaka University JP Japan (JP)

How to cite

APA:

Fujishima, Y., Habermann, J., Kinnunen, J., & Masson, M. (2014). Stability for parabolic quasiminimizers. Potential Analysis, 41, 983-1004. https://dx.doi.org/10.1007/s11118-014-9404-y

MLA:

Fujishima, Yohei, et al. "Stability for parabolic quasiminimizers." Potential Analysis 41 (2014): 983-1004.

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