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
Wang Xiangdong;Liang Xiting. THE HOLDER CONTINUITY OF GENERALIZED SOLUTIONS OF A CLASS QUASILINEAR PARABOLIC EQUATIONS. Applied Mathematics and Mechanics (English Edition), 1998, 19(6): 573-583.
[1] O. A. Ladyzenskaja, V. A. Solonnikov and N. N. Ural ceva, Linear and quasilinearequations of parabolic type, Tran. Amer. Math. Munogr., 23, 6 (1968), 731-747.
[2] Wang Xiangdong, Liang Xiting and Lang Xuesin, The boundedness for generalizedsolutions of quasilinear parabolic equations, Mathematica Applicata 5. 2 (1992),88-96.(in Chinese)
[3] J. Moser, A Harnack inequality for parabolic differential equations, Comm. Pure Appl.Math., 17, 9 (1964), 131-134.
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