INTEGRABILITY RESULTS FOR WEAK SOLUTIONS TO ULTRAPARABOLIC EQUATIONS

被引：0

作者：

Dong, Yan ^{[1
]}

机构：

[1] Hubei Univ Econ, Dept Appl Math, Wuhan 430205, Hubei, Peoples R China

来源：

MATHEMATICAL REPORTS | 2020年 / 22卷 / 02期

基金：

中国国家自然科学基金;

关键词：

ultraparabolic equation; weak solution; L-p estimate; Morrey estimate; Campanato estimate; PARABOLIC EQUATIONS; DIVERGENCE FORM; VECTOR-FIELDS; REGULARITY; INEQUALITIES; OPERATORS; EXISTENCE; SPACES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to consider a class of linear ultraparabolic equations with bounded and VMO coefficients a(ij)(z). We first establish higher L-p estimate and higher Morrey estimates for gradients of weak solutions. And then we give a Campanato estimate for weak solutions.

引用

页码：133 / 161

页数：29

共 35 条

[21] ON THE PARTIAL REGULARITY OF WEAK SOLUTIONS OF NON-LINEAR PARABOLIC-SYSTEMS
GIAQUINTA, M
STRUWE, M
[J]. MATHEMATISCHE ZEITSCHRIFT, 1982, 179 (04) : 437 - 451
[22] HYPOELLIPTIC 2ND ORDER DIFFERENTIAL EQUATIONS
HORMANDE.L
[J]. ACTA MATHEMATICA UPPSALA, 1967, 119 (3-4): : 147 - &
[23] THE POINCARE INEQUALITY FOR VECTOR-FIELDS SATISFYING HORMANDER CONDITION
JERISON, D
[J]. DUKE MATHEMATICAL JOURNAL, 1986, 53 (02) : 503 - 523
[24] Ladyzhenskaya O.A., 1968, MATH SCI ENG, V46
[25] Lanconelli E., 1994, Rend. Sem. Mat. Univ. Politec. Torino, V52, P29
[26] Lieberman G. M., 1996, 2 ORDER PARABOLIC DI
[27] Lu G., 1994, Rev. Mat. Iberoam, V10, P453, DOI [10.4171/rmi/158, DOI 10.4171/RMI/158]
[28] Manfredini M, 1998, B UNIONE MAT ITAL, V1B, P651
[29] QUASILINEAR DIVERGENCE FORM PARABOLIC EQUATIONS IN REIFENBERG FLAT DOMAINS
Palagachev, Dian K.
Softova, Lubomira G.
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 31 (04) : 1397 - 1410
[30] The Moser's iterative method for a class of ultraparabolic equations
Pascucci, A
Polidoro, S
[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2004, 6 (03) : 395 - 417

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