Fujishima Y, Habermann J, Kinnunen J, Masson M (2014)
Publication Type: Journal article
Publication year: 2014
Publisher: Springer Verlag (Germany)
Book Volume: 41
Pages Range: 983-1004
DOI: 10.1007/s11118-014-9404-y
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.
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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