Jian Wang

activity

20232026

most citedTwo-sided heat kernel estimates for Schrödinger operators with unbounded potentials

1 citations · 1 across the 6 of their papers we have counts for

collaborators

7 papers

math.PR2026

High-order convergence rates of periodic homogenization for symmetric Lévy type operators

Xin Chen, Zhen-Qing Chen, Takashi Kumagai +1

In this paper, we establish higher-order convergence rates of the periodic homogenizatio for symmetric Lévy-type operators, encompassing the subcritical $α$ -stable regime, critical…

math.PR2025

Quantitative homogenization on time-dependent random conductance models with stable-like jumps

Xin Chen, Zhen-Qing Chen, Takashi Kumagai +1

We establish quantitative homogenization results for time-dependent random conductance models with stable-like long range jumps on $Z^{d}$ , where the transition probability from $x$ …

math.AP2024

Local boundedness of solutions to parabolic equations associated with fractional $p$ -Laplacian type operators

Takashi Kumagai, Jian Wang, Meng-ge Zhang

In this paper, we study the local boundedness of local weak solutions to the following parabolic equation associated with fractional $p$ -Laplacian type operators $$ \partial_t u(t,…

math.AP2024

Quantitative periodic homogenization for symmetric non-local stable-like operators

Xin Chen, Zhen-Qing Chen, Takashi Kumagai +1

Homogenization for non-local operators in periodic environments has been studied intensively. So far, these works are mainly devoted to the qualitative results, that is, to determi…

math.PR2024

Quenched local limit theorem for random conductance models with long-range jumps

Xin Chen, Takashi Kumagai, Jian Wang

We establish the quenched local limit theorem for reversible random walk on $Z^{d}$ (with $d \geq 2$ ) among stationary ergodic random conductances that permit jumps of arbitrary lengt…

math.AP2024

Sharp two-sided heat kernel estimates for Schrödinger operators with decaying potentials

Xin Chen, Jian Wang

We establish global two-sided heat kernel estimates (for full time and space) of the Schrödinger operator $- \frac{1}{2} Δ + V$ on $R^{d}$ , where the potential $V (x)$ is locally bounded…

math.PR2023★ 1 cited

Two-sided heat kernel estimates for Schrödinger operators with unbounded potentials

Chen Xin, Wang Jian

Consider the Schrödinger operator $L^{V} = - Δ + V$ on $R^{d}$ , where $V : R^{d} \to [0, \infty)$ is a nonnegative and locally bounded potential on $R^{d}$ so that for all $x \in R^{d}$ …

High-order convergence rates of periodic homogenization for symmetric Lévy type operators

Quantitative homogenization on time-dependent random conductance models with stable-like jumps

Local boundedness of solutions to parabolic equations associated with fractional p-Laplacian type operators

Quantitative periodic homogenization for symmetric non-local stable-like operators

Quenched local limit theorem for random conductance models with long-range jumps

Sharp two-sided heat kernel estimates for Schrödinger operators with decaying potentials

Two-sided heat kernel estimates for Schrödinger operators with unbounded potentials

Local boundedness of solutions to parabolic equations associated with fractional $p$ -Laplacian type operators