Parabolic Equations with VMO Coefficients in Generalized Morrey Spaces
查看参考文献13篇
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文摘
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In this paper, the authors establish the regularity in generalized Morrey spaces of solutions to parabolic equations with VMO coefficients by means of the theory of singular integrals and linear commutators. |
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来源
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Acta Mathematica Sinica. English Series
,2010,26(1):117-130 【核心库】
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DOI
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10.1007/s10114-010-8127-2
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关键词
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uniformly parabolic operator
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generalized Morrey spaces
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VMO
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singular integrals and commutators
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地址
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College of Mathematics and Systems Science, Xinjiang University, Urumqi, 830046
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语种
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英文 |
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文献类型
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研究性论文 |
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ISSN
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1439-8516 |
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学科
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数学 |
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基金
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国家自然科学基金
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文献收藏号
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CSCD:3872120
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参考文献 共
13
共1页
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1.
Sarason,D. Functions of vanishing mean oscillation.
Transactions of the American Mathematical Socity,1975,207:391-405
|
CSCD被引
20
次
|
|
|
|
|
2.
Softova,L.G. Oblique derivative problem for parabolic operators with VMO coefficients.
Manuscripta Mathematica,2000,103:203-220
|
CSCD被引
1
次
|
|
|
|
|
3.
Popivanov,P.R.
The Degenerate Oblique Derivative Problem for Elliptic and Parabolic Equations,1997
|
CSCD被引
3
次
|
|
|
|
|
4.
Fan,D. Regularity in Morrey spaces of strong solutions to nondivergenee elliptic equations with weighted VMO coefficients.
Geogian Math.J,1998,5:425-440
|
CSCD被引
1
次
|
|
|
|
|
5.
Chiarenza,F. Interior W~(2,p)estimates for nondivergence elliptic equations with discontinuous coefficients.
Ric.Mat,1991,40:149-168
|
CSCD被引
1
次
|
|
|
|
|
6.
Palagachev,D.K. Quasilinear elliptic equations with VMO coefficients.
Transactions of the American Mathematical Socity,1995,347:2481-2493
|
CSCD被引
3
次
|
|
|
|
|
7.
Bramanti,M. W_p~(1,2)solvability for the cauchy-problem for parabolic equations with VMO coefficients.
Comm.Partial Differential Equations,1993,18:1735-1763
|
CSCD被引
9
次
|
|
|
|
|
8.
Softova,L.G. Parabolic equations with VMO coefficients in Morrey spaces.
Electron J.Differential Equations,2001,51:1-25
|
CSCD被引
1
次
|
|
|
|
|
9.
Ladyzhenskaya,O.A. Linear and Quasilinear Equations of Parabolic Type.Transl.Math.Monographs.
Amer.Math.Soc.,Providence,R.I,1968,23
|
CSCD被引
1
次
|
|
|
|
|
10.
Fabes,E.B. Singular integrals with mixed homogenety.
Studia Math,1966,27:19-38
|
CSCD被引
38
次
|
|
|
|
|
11.
Jones,P.W. Extension theorems for BMO.
Indiana University Mathematics Journal,1980,29:41-66
|
CSCD被引
11
次
|
|
|
|
|
12.
Acquistapace,P. On BMO regularity for linear elliptic systems.
Ann.Math.Pure Appl,1992,161:231-269
|
CSCD被引
9
次
|
|
|
|
|
13.
Gilbarg,D.
Elliptic Partial Differential Equations of Second Order(2nd ed),1983
|
CSCD被引
57
次
|
|
|
|
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