Year: 2002
Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 4 : pp. 1–12
Abstract
In this paper, we deal with the following fully nonlinear partial differential equation of parabolic type F(x, t, u,Du,D²u) + u_t = 0 in Q_T with the third boundary value conditions. We prove that under some structure conditions on F, the W^{2,1}_p (p > 3N + 1) strong solutions for the problem have the ^{1,0}_∞ a priori estimates.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2002-JPDE-5457
Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 4 : pp. 1–12
Published online: 2002-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Fully nonlinear parabolic equations