Jian Wang

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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

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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.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…

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

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

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

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