Shanlin Huang

activity

20142025

L^{p}

resolvent estimates for simply connected manifolds of constant curvature

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

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math.AP2024

Observability inequality, log-type Hausdorff content and heat equations

Shanlin Huang, Gengsheng Wang, Ming Wang

This paper studies observability inequalities for heat equations on both bounded domains and the whole space $R^{d}$ . The observation sets are measured by log-type Hausdorff…

math.AP2016★ 3 cited

Remarks on $L^{p}$ -limiting absorption principle of Schrödinger operators and applications to spectral multiplier theorems

Shanlin Huang, Xiaohua Yao, Quan Zheng

This paper comprises two parts. We first investigate a $L^{p}$ type of limiting absorption principle for Schrödinger operators $H = - Δ + V$ , i.e., In $R^{n}$ ( $n \geq 3$ ) we prove t…

math.AP2014★ 3 cited

Concerning $L^{p}$ resolvent estimates for simply connected manifolds of constant curvature

Shanlin Huang, Christopher D. Sogge

We prove families of uniform $(L^{r}, L^{s})$ resolvent estimates for simply connected manifolds of constant curvature (negative or positive) that imply the earlier ones for Euclidean s…

Observability inequality, log-type Hausdorff content and heat equations

Remarks on Lp-limiting absorption principle of Schrödinger operators and applications to spectral multiplier theorems

Concerning Lp resolvent estimates for simply connected manifolds of constant curvature

Remarks on $L^{p}$ -limiting absorption principle of Schrödinger operators and applications to spectral multiplier theorems

Concerning $L^{p}$ resolvent estimates for simply connected manifolds of constant curvature