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APPLICATION OF THE G CLASS OF FUNCTIONS IN THE PARABOLIC CLASS

APPLICATION OF THE G CLASS OF FUNCTIONS IN THE PARABOLIC CLASS
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摘要 In this paper,the application of the G class of functions in the parabolic class is considered.The regularity of the solution for the first boundary value problem of parabolic equation in divergence form is proved. In this paper,the application of the G class of functions in the parabolic class is considered.The regularity of the solution for the first boundary value problem of parabolic equation in divergence form is proved.
作者 Li ShenghongDept.of Math.,Zhejiang Univ.,Hangzhou,31 0 0 2 7.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2000年第3期297-301,共5页 高校应用数学学报（英文版）（B辑）
基金 Project supported by ZJPNFC(1 980 1 3) ,NNSFC(79790 1 30 ) and Zhejiang Univ.,Cao GuangbiaoFoundation.
关键词 Parabolic equation regularity and existence. Parabolic equation,regularity and existence.
分类号 O175 [理学—基础数学]
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参考文献10

  • 1Li,S.H.,Liu,X.G.,TheGclassfunctionsanditsapplication,ActaMath.Sinica(N.S.),2000,15(1):1-14.
  • 2Chen,Y. Z. ,CTM regularity of viscosity solution for fully nonlinear ellipticpartial differential equationunder natural structure conditions ,J. Partial DifferentialEquations, 1993,6(3): 193-216
  • 3Chen,Y. Z. , Wu, L.C. ,Elliptic Partial Differential Equations and Systems ofSecond Order,Science Press ,Beijing China, 1991.
  • 4Dong,G. C. ,Nonlinear partial differential equation of second order,Transl. Math.Monogr. ,Vol. 95,1993.
  • 5Korolev,A. G. ,On boundedness of generalized solutions of elliptic differentialequation with nonlinearpower nonlinearities, Math. USSR-Sb, 1990,66:83-106.
  • 6Lieberman, G. M., The natural generaliztion of the natural conditions ofLadyzhenskaya and Ural'tseva for elliptic equations ,Comm. Partial Differential Equations,1991,16 (2＆3): 311-361.
  • 7Lieberman,G. M. ,Bounday and initial regularity for solution of degeneate parabolicequations,Nonlin-ear Analysis, 1993,20: 557-569.
  • 8Skrypnik,I. V. ,On the Ho1der property for functions from the class Bq,s,UkrainianMath. J. , 1995,45.1020-1028.
  • 9Wang,G. L. ,Harnack Inequalities for Function in De Giorgi Parabolic Class,PartialDifferential Equa-tion, Springer-Verlag, New York, 1986,182-201.
  • 10Ladyzhenskaya, O. A. , Solonnikov, V. A. , Ural'tseva, N. N. , Linear andQuasilinear Equation of Parabolic Type, Nauka, Moscow, 1967.
Applied Mathematics(A Journal of Chinese Universities)
2000年 第3期

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