12 citations · 24 across the 8 of their papers we have counts for
8 papers
A critical stochastic heat equation with long-range noise
Alexander Dunlap, Martin Hairer, Xue-Mei Li
We consider a semilinear stochastic heat equation in spatial dimension at least , forced by a noise that is white in time with a covariance kernel that decays like $\lvert x\rve…
Scaling limit of the KPZ equation with non-integrable spatial correlations
Luca Gerolla, Martin Hairer, Xue-Mei Li
We study the large scale fluctuations of the KPZ equation in dimensions driven by Gaussian noise that is white in time Gaussian but features non-integrable spatial corre…
pointwise boundary Estimates for some degenerate fully nonlinear elliptic equations on Domains
Xuemei Li, Dongsheng Li
In this paper, we establish pointwise boundary estimates for viscosity solutions of some degenerate fully nonlinear elliptic equations on domains. Instead…
Estimates for Solution Sets of Fully Nonlinear Elliptic inequalities on Domains
Dongsheng Li, Xuemei Li
In this paper, we establish boundary estimates for on domains with as and boundary values. Instead of straight…
Nondegeneracy of the positive solutions for critical nonlinear Hartree equation in
Xuemei Li, Xingdong Tang, Guixiang Xu
We prove that any positive solution for the critical nonlinear Hartree equation $$-\Laplacian\fct{u}{x} -\int_{\R^6} \frac{\abs{\fct{u}{y}}^2 }{ \abs{x-y}^4 }\odif{y} \,\fct{u}{x}=…
Hessian formulas and estimates for parabolic Schrödinger operators
Xue-Mei Li
We study the Hessian of the fundamental solution to the parabolic problem for weighted Schrödinger operators of the form proving a second order Feynman-Kac…