The Third Initial-Boundary Value Problem for a Class of Parabolic Monge-Ampère Equations
Year: 2012
Author: Boqiang Lü, Fengquan Li
Communications in Mathematical Research , Vol. 28 (2012), Iss. 1 : pp. 75–90
Abstract
For the more general parabolic Monge-Ampère equations defined by the operator $F(D^2u + σ(x))$, the existence and uniqueness of the admissible solution to the third initial-boundary value problem for the equation are established. A new structure condition which is used to get a priori estimate is established.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2012-CMR-19066
Communications in Mathematical Research , Vol. 28 (2012), Iss. 1 : pp. 75–90
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: parabolic Monge-Ampère equation admissible solution the third initial-boundary value problem.
Author Details
Boqiang Lü Email
Fengquan Li Email