3 citations · 7 across the 9 of their papers we have counts for
9 papers
Solutions to discrete fractional Schödinger equations
Lidan Wang
In this paper, we study the discrete fractional Schrödinger equation where and the nonlocal oper…
The ground state solutions of nonlinear Schrödinger equations with Hardy weights on lattice graphs
Lidan Wang
In this paper, we study the nonlinear Schrödinger equation on the lattice graph with , where is a bounded pe…
Dirichlet Heat kernel estimates for a large class of anisotropic Markov processes
Kyung-Youn Kim, Lidan Wang
Let be the d-dimensional Lévy {process} where {'s} are independent 1-dimensional Lévy {processes} with identical jumping kernel $ ν^1(r) =r^{-1}ϕ(r)…
The existence and convergence of solutions for the nonlinear Choquard equations on groups of polynomial growth
Ruowei Li, Lidan Wang
In this paper, we study the nonlinear Choquard equation \begin{eqnarray*} Δ^{2}u-Δu+(1+λa(x))u=(R_α\ast|u|^{p})|u|^{p-2}u \end{eqnarray*} on a Cayley graph of a discrete group of p…
Exponential stability of 3D stochastic primitive equations driven by fractional noise
Lidan Wang, Guoli Zhou
In this article, we study the stability of solutions to 3D stochastic primitive equations driven by fractional noise. Since the fractional Brownian motion is essentially different…
Global well-posedness of stochastic nematic liquid crystals with random initial and random boundary conditions driven by multiplicative noise
Lidan Wang, Jiang-Lun Wu, Guoli Zhou
The flow of nematic liquid crystals can be described by a highly nonlinear stochastic hydrodynamical model, thus is often influenced by random fluctuations, such as uncertainty in…
Asymptotic behavior of 3-D stochastic primitive equations of large-scale moist atmosphere with additive noise
Lidan Wang, Guoli Zhou
Using a new and general method, we prove the existence of random attractor for the three dimensional stochastic primitive equations defined on a manifold $\D\subset\R^3$ improving…
Stability of Heat Kernel Estimates for Diffusions with Jumps under Non-local Feynman-Kac Perturbations
Zhen-Qing Chen, Lidan Wang
In this paper we show that two-sided heat kernel estimates for a class of (not necessarily symmetric) diffusions with jumps are stable under non-local Feynman-Kac perturbations.
Inverse local time of one-dimensional diffusions and its comparison theorem
Zhen-Qing Chen, Lidan Wang
In this paper, we study inverse local time at 0 of one-dimensional reflected diffusions on , and establish a comparison principle for inverse local times. Applications…