Reference : Initial-irregular oblique derivative problems for nonlinear parabolic complex equatio...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Initial-irregular oblique derivative problems for nonlinear parabolic complex equations of second order with measurable coefficients
Wen, Guochun []
Zou, Benteng mailto [University of Luxembourg > Faculty of Law, Economics and Finance (FDEF) > Center for Research in Economic Analysis (CREA) >]
Nonlinear Analysis: Theory, Methods & Applications
Elsevier Science
Yes (verified by ORBilu)
United Kingdom
[en] Initial-irregular oblique derivative problems ; Nonlinear and nondivergence parabolic equations
[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.

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