5 citations · 8 across the 6 of their papers we have counts for
7 papers
Cubic moments of eigenfunctions on surfaces
Xing Wang, Cheng Zhang
We identify Gaussian curvature as a local mechanism for cubic cancellation of Laplace eigenfunctions on Riemannian surfaces, without arithmetic or dynamical assumptions. For -…
Sharp local estimates for the Hermite eigenfunctions
Xing Wang, Cheng Zhang
We investigate the concentration of eigenfunctions for the Hermite operator in by establishing local bounds over the compact sets with arbitrary d…
Sharp estimates and size of nodal sets for generalized Steklov eigenfunctions
Xiaoqi Huang, Yannick Sire, Xing Wang +1
We prove sharp estimates for the Steklov eigenfunctions on compact manifolds with boundary in terms of their norms on the boundary. We prove it by establishing bo…
Pointwise convergence of solution to Schrodinger equation on manifolds
Xing Wang, Chunjie Zhang
Let be a Riemannian manifold without boundary. We study the amount of initial regularity is required so that the solution to free Schrödinger equation converges pointwise…
Sharp endpoint estimates for eigenfunctions restricted to submanifolds of codimension 2
Xing Wang, Cheng Zhang
Burq-Gérard-Tzvetkov and Hu established estimates () for the restriction of eigenfunctions to submanifolds. The estimates are sharp, except for the log loss…
Lower bounds for interior nodal sets of Steklov eigenfunctions
Christopher D. Sogge, Xing Wang, Jiuyi Zhu
We study the interior nodal sets, of Steklov eigenfunctions in an -dimensional relatively compact manifolds with boundary and show that one has the lower bounds $|Z_λ|…
A lower bound for the nodal sets of Steklov eigenfunctions
Xing Wang, Jiuyi Zhu
We consider the lower bound of nodal sets of Steklov eigenfunctions on smooth Riemannian manifolds with boundary--the eigenfunctions of the Dirichlet-to-Neumann map. Let be i…