Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus

被引：5

作者：

Cannarsa, Piermarco ^{[1
]}

Chen, Qinbo ^{[2
]}

Cheng, Wei ^{[3
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy

[2] Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China

[3] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 267卷 / 04期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Hamilton-Jacobi equation; Weak KAM theory; Generalized characteristic; Singularities; LASRY-LIONS; TOTAL DISCONNECTEDNESS; VISCOSITY SOLUTIONS; HOMOCLINIC ORBITS; SET;

D O I：

10.1016/j.jde.2019.03.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For mechanical Hamiltonian systems on the torus, we study the dynamical properties of the generalized characteristic semiflows associated with the Hamilton-Jacobi equations, and build the relation between the omega-limit sets of the semiflows and the projected Aubry sets. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：2448 / 2470

页数：23

共 50 条

[21] The asymptotic behavior of solutions of a certain nonlinear Volterra equation
Z. B. Tsalyuk
M. V. Tsalyuk
Russian Mathematics, 2012, 56 (7) : 30 - 38
[22] The Asymptotic Behavior of Solutions of a Certain Nonlinear Volterra Equation
Tsalyuk, Z. B.
Tsalyuk, M. V.
RUSSIAN MATHEMATICS, 2012, 56 (07) : 30 - 38
[23] ASYMPTOTIC-BEHAVIOR OF THE SOLUTIONS OF CERTAIN PARABOLIC EQUATIONS
LORTZ, D
MEYERSPASCHE, R
STREDULINSKY, EW
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1984, 37 (05) : 677 - 703
[24] On the asymptotic behavior of solutions of certain differential functional equations
Oliveira, OC
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (02) : 1171 - 1182
[25] On the Oscillatory and Asymptotic Behavior of Solutions of Certain Integral Equations
Said R. Grace
Mediterranean Journal of Mathematics, 2016, 13 : 2721 - 2732
[26] ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF CERTAIN CONVOLUTION EQUATIONS
MEYER, Y
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1976, 55 (01): : 69 - 97
[27] On the Oscillatory and Asymptotic Behavior of Solutions of Certain Integral Equations
Grace, Said R.
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (05) : 2721 - 2732
[28] On the asymptotic behavior of solutions of certain differential functional equations
Oliveira, Filho, O.C.
Nonlinear Analysis, Theory, Methods and Applications, 1997, 30 (02): : 1171 - 1182
[29] ASYMPTOTIC BEHAVIOR OF WEAK AND STRONG SOLUTIONS OF THE MAGNETOHYDRODYNAMIC EQUATIONS
Boldrini, Jose Luiz
Bravo-Olivares, Jonathan
Notte-Cuello, Eduardo
Rojas-Medar, Marko A.
ELECTRONIC RESEARCH ARCHIVE, 2021, 29 (01): : 1783 - 1801
[30] Coherent States and Quantum Asymptotic Features by Weak KAM Theory
Cardin, Franco
Vazzoler, Simone
ACTA APPLICANDAE MATHEMATICAE, 2014, 132 (01) : 189 - 197

← 1 2 3 4 5 →