The H<sup>L</sup>der Continuity of Generalized Solutions of a Class Quasilinear Parabolic Equations

Wang Xiangdong

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Wang Xiangdong. The HLder Continuity of Generalized Solutions of a Class Quasilinear Parabolic Equations[J]. Applied Mathematics and Mechanics, 1998, 19(6): 538-548.

Citation:

Wang Xiangdong. The H^Lder Continuity of Generalized Solutions of a Class Quasilinear Parabolic Equations[J]. Applied Mathematics and Mechanics, 1998, 19(6): 538-548.

Wang Xiangdong. The HLder Continuity of Generalized Solutions of a Class Quasilinear Parabolic Equations[J]. Applied Mathematics and Mechanics, 1998, 19(6): 538-548.

Citation:

Wang Xiangdong. The H^Lder Continuity of Generalized Solutions of a Class Quasilinear Parabolic Equations[J]. Applied Mathematics and Mechanics, 1998, 19(6): 538-548.

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The H^Lder Continuity of Generalized Solutions of a Class Quasilinear Parabolic Equations

Wang Xiangdong^1,2

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

Received Date: 1996-05-03
Publish Date: 1998-06-15

Abstract

Abstract

Let A and B satisfy the structural conditions(2), the local H^Lder continuity interior to Q=G×(0,T) is proved for the generalized solutions of quasilinear parabolic equations as follows:.
- parabolic equation,
- nat ural growth condition,
- generalized solution,
- local H^Llder continuity

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References(3)

References

[1]	O.A.Ladyzenskaja,V.A.Solonnikov and N.N.Ural.ceva,Linear and quasilinear equations of parabolic type,Tran.Amer.Math.Munogr.,23(6)(1968),731-747.
[2]	王向东、梁廷,拟线性抛物型方程广义解的局部有界性,应用数学,5(2)(1992),88-96.
[3]	J.Moser,A Harnack inequality for parabolic differential equations,Comm.Pure Appl.Math.,17(3)(1964),131-134.