一类拟线性抛物型方程广义解的H<sup>L</sup>lder连续性

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一类拟线性抛物型方程广义解的H^Llder连续性

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

摘要: 考虑如下拟线性抛物型方程在A,B满足很一般的结构条件下证明了它的广义解在Q=G×(0,T)上的局部H^Lder连续性.
- 抛物型方程 /
- 自然增长条件 /
- 广义解 /
- 局部H^Llder连续性
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

[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.