Xianchao Wu

collaborators

2 papers

math.AP2024

Nonexistence of invariant nodal line and improved $L^{2}$ restriction bounds for Neumann data on negatively curved surface

Xianchao Wu, Lan Zhang

The problem of obtaining the lower bounds on the restriction of Laplacian eigenfunctions to hypersurfaces inside a compact Riemannian manifold $(M, g)$ is challenging and has been a…

math.AP2024

The $L^{p}$ restriction bounds for Neumann data on surface

Xianchao Wu

Let ${u_{λ}}$ be a sequence of $L^{2}$ -normalized Laplacian eigenfunctions on a compact two-dimensional smooth Riemanniann manifold $(M, g)$ . We seek to get an $L^{p}$ restriction bound…

Nonexistence of invariant nodal line and improved L2 restriction bounds for Neumann data on negatively curved surface

The Lp restriction bounds for Neumann data on surface

Nonexistence of invariant nodal line and improved $L^{2}$ restriction bounds for Neumann data on negatively curved surface

The $L^{p}$ restriction bounds for Neumann data on surface