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二阶非散度型椭圆方程解的局部正则性估计

Local Regularity for Second-Order Elliptic Equation in Nondivergence Form
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摘要 得到一类具有小BMO系数的二阶线性非散度型椭圆方程解在Orlicz空间中的局部正则性估计,并进一步给出该结论的一个特例. In this paper, we obtain local regularity in Orlicz spaces for the linear second-order elliptic equations with small BMO coefficients in nondivergence form, and give a special case of this result.
作者 姚锋平 李焕弟
机构地区 上海大学理学院
出处 《上海大学学报（自然科学版）》 CAS CSCD 北大核心 2010年第6期630-634,共5页 Journal of Shanghai University:Natural Science Edition
基金 国家自然科学基金资助项目(10926084 11001165) 教育部博士点新教师基金资助项目(20093108120003)
关键词 非散度型 椭圆方程 正则性估计 小BMO系数 ORLICZ空间 nondivergence form elliptic equation regularity small BMO coefficients Orlicz spaces
分类号 O175.23 [理学—基础数学]
  • 相关文献

参考文献12

  • 1BYUN S,WANG L H.Elliptic equations with BMO coefficients in Reifenberg domains[J].Comm Pure Appl Math,2004,57(10):1283-1310.
  • 2BYUN S.Elliptic equations with BMO coefficients in Lipschitz domains[J].Trans Amer Math Soc,2005,357(3):1025-1046.
  • 3CAFFARELLI L A,PERAL I.On W1,p estimates for elliptic equations in divergence form[J].Comm Pure Appl Math,1998,51(1):1-21.
  • 4CALDERON A P,ZYGMUND A.On the existence of certain singular integrals[J].Acta Math,1952,88:85-139.
  • 5CHEN Y Z,WU L C.Second order elliptic equations and elliptic systems[M].Providence:American Mathematical Society,1998.
  • 6MAUGERI A,PALAGACHEV D K,SOFTOVA L G.Elliptic and parabolic equations with discontinuous coefficients[M].Berlin:Wiley-VCH,2000.
  • 7王月山.一类非散度型椭圆方程解的局部W^(2,p)正则性[J].数学学报（中文版）,2006,49(3):709-720. 被引量：2
  • 8ADAMS R A,FOURNIER J J F.Sobolev spaces[M].2nd ed.New York:Academic Press,2003.
  • 9BYUN S,YAO F P,ZHOU S L.Gradient estimates in Orlicz space for nonlinear elliptic equations[J].J Funct Anal,2008,255(8):1851-1873.
  • 10WANG L H,YAO F P,ZHOU S L,et al.Optimal regularity for the Poisson equation[J].Proc Amer Math Soc,2009,137(6):2037-2047.

二级参考文献15

  • 1Calderon A.P.,Zygmmund A.,On the existence of certain singular integrals,Acta Math.,1952,88:85-135.
  • 2Koshelev A.I.,On boundedness in Lp of solutions of elliptic differential equations,Mat.Sbornik,1956,38:359-372.
  • 3Gilbarg G.,Trudinger N.S.,Elliptic partial differential equations of second order,2th edition,Berlin:Spriger-Verlag,1983.
  • 4Maugeri A.,Palagachev D.K.,Softova L.G.,Elliptic and parabolic equation with discontinuous coefficient,Berlin:Wiley-Vch,2000.
  • 5Franciosi M.,Fusco N.,W2,p regularity for the solutions of elliptic nondiv ergence form equations with rough coefficients,Ricerche di Matematica,1989,38:93-106.
  • 6Chiarenza F.,Frasca M.,Longo P.,Interior W2,pestimates for non-div ergence elliptic equations with discontinuous coefficients,Ricerche Mat.,1991,40(1):149-168.
  • 7Palagachev D.K.,Softova L.G.,Singular integral operators,Morrey spaces and fine regularity of solutions to PDE's,Potential Analysis,2004,20(3):237-263.
  • 8Fan D.S.,Lu S.Z.,Yang D.C.,Regularity in Morrey spaces of strong solutions to nondivergence elliptic equations with VMO coefficients,Georgian Math.J.,1998,5(5):425-440.
  • 9Caffarelli L.A.,Peral I.,On W1,p estimates for elliptic equations in divergence form,Comm.Pure Appl.Math.,1998,51(1):1-21.
  • 10Wang L.H.,A geometric approach to the Calderón-Zygmmund estimates,Acta Mathematica Sinica,English Series,2003,19(2):381 396.

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上海大学学报（自然科学版）
2010年 第6期

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