A new kind of Lax-Oleinik type operator with parameters for time-periodic positive definite Lagrangian systems
K Wang, J Yan - Communications in Mathematical Physics, 2012 - Springer
In this paper we introduce a new kind of Lax-Oleinik type operator with parameters
associated with positive definite Lagrangian systems for both the time-periodic case and the …
associated with positive definite Lagrangian systems for both the time-periodic case and the …
The rate of convergence of new Lax–Oleinik type operators for time-periodic positive definite Lagrangian systems
K Wang, J Yan - Nonlinearity, 2012 - iopscience.iop.org
Assume that the Aubry set of the time-periodic positive definite Lagrangian L consists of one
hyperbolic 1-periodic orbit. We provide an upper bound estimate of the rate of convergence …
hyperbolic 1-periodic orbit. We provide an upper bound estimate of the rate of convergence …
Exponential convergence to time-periodic viscosity solutions in time-periodic Hamilton-Jacobi equations
K Wang - Chinese Annals of Mathematics, Series B, 2018 - Springer
Consider the Cauchy problem of a time-periodic Hamilton-Jacobi equation on a closed
manifold, where the Hamiltonian satisfies the condition: The Aubry set of the corresponding …
manifold, where the Hamiltonian satisfies the condition: The Aubry set of the corresponding …
Exponential convergence of 1-graph of the solution semigroup of contact Hamilton-Jacobi equations
L Jin, L Wang - arXiv preprint arXiv:1710.10799, 2017 - arxiv.org
Under certain assumptions, we show that for the solution semigroup of evolutionary contact
Hamilton-Jacobi equations, its 1-graph, as a pseudo Legendrian graph, converges …
Hamilton-Jacobi equations, its 1-graph, as a pseudo Legendrian graph, converges …
Weak KAM Theory in Time-periodic Lagrangian Systems
K Wang, J Yan - Emerging Topics on Differential Equations and …, 2013 - World Scientific
Emerging Topics on Differential Equations and Their Applications : Weak KAM Theory in
Time-periodic Lagrangian Systems Page 1 September 6, 2012 13:47 WSPC - Proceedings Trim …
Time-periodic Lagrangian Systems Page 1 September 6, 2012 13:47 WSPC - Proceedings Trim …