A priori estimates of solutions; Initial-irregular oblique derivative problems; Nondivergence parabolic complex equations; Mathematics (all); initial irregular oblique derivative problems; General Mathematics
Abstract :
[en] The initial-irregular oblique derivative boundary value problems for linear and nondivergence parabolic complex equations of second order in multiply connected domains are dealt with, where the coefficients of equations are measurable. Firstly the uniqueness of solutions for the above problems is introduced, and then some a priori estimates of solutions for the problems are given. By using the above estimates and the Leray-Schauder theorem, the existence of solutions of the initial-boundary value problems can be proved. The results are generalizations of corresponding theorems in literature.
Disciplines :
Mathematics
Author, co-author :
Wen, Guochun; Department of Mathematics, Peking University, Beijing 100871, China
ZOU, Benteng ; University of Luxembourg > Faculty of Law, Economics and Finance (FDEF) > Department of Economics and Management (DEM) ; Department of Mathematics, Peking University, Beijing 100871, China
External co-authors :
yes
Language :
English
Title :
Estimates of solutions of initial-irregular oblique derivative problems for linear parabolic equations of second order with measurable coefficients
Publication date :
1998
Journal title :
Science in China. Series A, Mathematics, Physics, Astronomy
Wen Guo Chun, Begehr, H., Boundary Value Problems for Elliptic Equations and Systems, Harlow: Longman Scientific and Technical, 1990.
Wen Guo Chun, Initial and general nonlinear oblique derivative problems for full non-linear parabolic complex equations, Complex Analysis and Its Applications, Harlow: Longman Scientific Technical, 1994, 334-343.
Alkhutov, Y.A., Mamedov, I. T., The first boundary value problem for nondivergence second order parabolic equations with discontinuous coefficients, Math. USSR Sbornik, 1998, 59: 471.
Wen Guo Chun, Two boundary value problems for second order nonlinear parabolic equations with measurable coefficients, J. of Yantai Univ. (Natur. Sci. and Engin.) (in Chinese), 1993, 1:1.
Ladyzhenskaya, O.A., Solonnikov, V.A., Ural'ceva N. N., Linear and Quasilinear Equations of Parabolic Type, Providence RI: Amer. Math. Soc., 1968.
Wen Guo Chun, Initial-mixed boundary value problems for nonlinear parabolic complex equations of second order with measurable coefficients, Acta Sci. Natur. Univ. Pekin., 1995, 31: 511.
