THE HOLDER CONTINUITY OF GENERALIZED SOLUTIONS OF A CLASS QUASILINEAR PARABOLIC EQUATIONS

Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (6): 573-583.

THE HOLDER CONTINUITY OF GENERALIZED SOLUTIONS OF A CLASS QUASILINEAR PARABOLIC EQUATIONS

王向东¹, 梁(汲金)廷²

1. Department of Basic Courses, Zhengzhou institute of Light Industry, Zhengzhou 450002, P. R.China;
2. Department of Mathematics, Zhongshan University, Zhongshan 510275, P. R. China

收稿日期:1996-05-03 出版日期:1998-06-18 发布日期:1998-06-18

THE HOLDER CONTINUITY OF GENERALIZED SOLUTIONS OF A CLASS QUASILINEAR PARABOLIC EQUATIONS

Wang Xiangdong¹, Liang Xiting²

1. Department of Basic Courses, Zhengzhou institute of Light Industry, Zhengzhou 450002, P. R.China;
2. Department of Mathematics, Zhongshan University, Zhongshan 510275, P. R. China

Received:1996-05-03 Online:1998-06-18 Published:1998-06-18

摘要/Abstract

摘要： Let A cud B satisfy the Structural conditions (2), the local Hölder continuityinterior to Q=G×(0, T) is proved for the generalized solutions of quasilinearparabolic equations as follows: u₂-divA(x, t,u,∇u) + B(x, t, u, ∇u)=0

关键词: parabolic equation, natural growth condition, generalizedsolution, local Hölder continuity

Abstract: Let A cud B satisfy the Structural conditions (2), the local Hölder continuityinterior to Q=G×(0, T) is proved for the generalized solutions of quasilinearparabolic equations as follows: u₂ - divA(x, t,u,∇u) + B(x, t, u, ∇u)=0

Key words: parabolic equation, natural growth condition, generalizedsolution, local Hölder continuity

王向东;梁(汲金)廷. THE HOLDER CONTINUITY OF GENERALIZED SOLUTIONS OF A CLASS QUASILINEAR PARABOLIC EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(6): 573-583.

Wang Xiangdong;Liang Xiting. THE HOLDER CONTINUITY OF GENERALIZED SOLUTIONS OF A CLASS QUASILINEAR PARABOLIC EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(6): 573-583.

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THE HOLDER CONTINUITY OF GENERALIZED SOLUTIONS OF A CLASS QUASILINEAR PARABOLIC EQUATIONS

THE HOLDER CONTINUITY OF GENERALIZED SOLUTIONS OF A CLASS QUASILINEAR PARABOLIC EQUATIONS

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