Article (Scientific journals)
Initial-irregular oblique derivative problems for nonlinear parabolic complex equations of second order with measurable coefficients
Wen, Guochun; Zou, Benteng
2000In Nonlinear Analysis: Theory, Methods and Applications
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Keywords :
Initial-irregular oblique derivative problems; Nonlinear and nondivergence parabolic equations
Abstract :
[en] In this paper, initial-irregular oblique derivative boundary value problems for nonlinear and non-divergence parabolic complex equations of second order in multiply connected domains are discussed, where coefficients of equations are measurable. Firstly, the uniqueness of solutions for the above problems is verified, and then a priori estimates of solutions for the problems are given. Finally, by using the above estimates and the Leray-Schauder theorem, the existence of solutions of the initial-boundary value problems is proved.
Disciplines :
Mathematics
Author, co-author :
Wen, Guochun
Zou, Benteng  ;  University of Luxembourg > Faculty of Law, Economics and Finance (FDEF) > Center for Research in Economic Analysis (CREA)
External co-authors :
yes
Language :
English
Title :
Initial-irregular oblique derivative problems for nonlinear parabolic complex equations of second order with measurable coefficients
Publication date :
2000
Journal title :
Nonlinear Analysis: Theory, Methods and Applications
ISSN :
1873-5215
Publisher :
Elsevier Science, Oxford, United Kingdom
Peer reviewed :
Peer Reviewed verified by ORBi
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