ON THE SECOND ORDER DERIVATIVES OF SOLUTIONS OF A SPECIAL ISAACS EQUATION

被引：3

作者：

Kovats, Jay ^{[1
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 144卷 / 04期

关键词：

NONLINEAR ELLIPTIC-EQUATIONS; STOCHASTIC DIFFERENTIAL-GAMES; VISCOSITY SOLUTIONS; REGULARITY; EXISTENCE; PRINCIPLE; DOMAINS;

D O I：

10.1090/proc/12956

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate continuity and integrability properties of the second order derivatives of viscosity solutions of a certain uniformly elliptic Isaacs equation. We give sufficient and necessary conditions for continuity of the second order derivatives and give sufficient conditions for interior W-2,W-p regularity, 1 < p < infinity.

引用

页码：1523 / 1533

页数：11

共 50 条

[1] Analytic solutions of an iterative equation with second order derivatives
Liu, HZ
Li, WR
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 1030 - 1037
[2] The analytical nature of certain equation solutions with partial second order derivatives
Goldziher, Charles
Picard, Emile
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1907, 144 : 887 - 889
[3] Transformation of an equation of partial derivatives of the second order in an equation of the first order
Gau, E
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1926, 182 : 1320 - 1323
[4] An equation of partial derivatives of the second order.
Mendes, M
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1941, 212 : 112 - 114
[5] The characteristics of the first order of an equation of partial derivatives of the second order
Russyan, C
MATHEMATISCHE ANNALEN, 1923, 90 : 46 - 54
[6] Continuous solutions of a second order iterative equation
Tang, Xiao
Zhang, Weinian
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2018, 93 (3-4): : 303 - 321
[7] Differentiable solutions of the second order elliptic equation
Otelbaev, Mukhtarbay
Ospanov, Kordan Nauryzhanovich
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2014), 2014, 1611 : 16 - 18
[8] Uniqueness of solutions for second order Bellman-Isaacs equations with mixed boundary conditions
Motta, Monica
Sartori, Caterina
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2008, 20 (04) : 739 - 765
[9] Special Solutions to the Second q-Painleve Equation
Ohyama, Yousuke
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, 2010, 1281 : 1714 - 1717
[10] REPRESENTATION OF SOLUTIONS OF A SECOND ORDER DELAY DIFFERENTIAL EQUATION
Qiu, Kee
Wang, Jinrong
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2020,

← 1 2 3 4 5 →