Holder regularity for solutions of ultraparabolic equations in divergence form

被引：49

作者：

Polidoro, S

Ragusa, MA

机构：

[1] Univ Bologna, Dipartimento Matemat, I-40127 Bologna, Italy

[2] Univ Catania, Dipartimento Matemat, I-95125 Catania, Italy

来源：

POTENTIAL ANALYSIS | 2001年 / 14卷 / 04期

关键词：

hypoelliptic equations; Morrey spaces;

D O I：

10.1023/A:1011261019736

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the second order differential equation [GRAPHICS] where (x,t)is an element ofR(N+1), 0 <m(0)less than or equal toN, the coefficients a(i,j) belong to a suitable space of vanishing mean oscillation functions VMOL and B=(b(i,j)) is a constant real matrix. The aim of this paper is to study interior regularity for weak solutions to the above equation assuming that F-j belong to a function space of Morrey type.

引用

页码：341 / 350

页数：10

共 50 条

[21] REGULARITY OF SOLUTIONS OF LINEAR AND QUASI-LINEAR EQUATIONS OF ELLIPTIC TYPE IN DIVERGENCE FORM
MAMEDOV, FI
MATHEMATICAL NOTES, 1993, 53 (1-2) : 50 - 58
[22] Regularity of solutions of elliptic equations in divergence form in modified local generalized Morrey spaces
Guliyev, V. S.
Omarova, M. N.
Ragusa, M. A.
Scapellato, A.
ANALYSIS AND MATHEMATICAL PHYSICS, 2021, 11 (01)
[23] On weak solutions of ultraparabolic equations
Ragusa, MA
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (01) : 503 - 511
[24] Ca regularity of weak solutions of non-homogeneous ultraparabolic equations with drift terms
Wang, Wendong
Zhang, Liqun
SCIENCE CHINA-MATHEMATICS, 2024, 67 (01) : 23 - 44
[25] Cα regularity of weak solutions of non-homogeneous ultraparabolic equations with drift terms
Wendong Wang
Liqun Zhang
Science China(Mathematics), 2024, 67 (01) : 23 - 44
[26] Holder continuous solutions for fractional differential equations and maximal regularity
Ponce, Rodrigo
JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 255 (10) : 3284 - 3304
[27] Holder regularity for solutions to complex Monge-Ampere equations
Charabati, Mohamad
ANNALES POLONICI MATHEMATICI, 2015, 113 (02) : 109 - 127
[28] Cα regularity of weak solutions of non-homogeneous ultraparabolic equations with drift terms
Wendong Wang
Liqun Zhang
Science China Mathematics, 2024, 67 : 23 - 44
[29] Holder regularity for weak solutions of diagonal divergence quasilinear degenerate elliptic systems
Dong, Yan
Cui, Xuewei
TURKISH JOURNAL OF MATHEMATICS, 2014, 38 (02) : 252 - 266
[30] GEOMETRIC REGULARITY FOR ELLIPTIC EQUATIONS IN DOUBLE-DIVERGENCE FORM
Leitao, Raimundo
Pimentel, Edgard A.
Santos, Makson S.
ANALYSIS & PDE, 2020, 13 (04): : 1129 - 1144

← 1 2 3 4 5 →