32 citations · 233 across the 35 of their papers we have counts for
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Strichartz estimates and Strauss conjecture on non-trapping asymptotically hyperbolic manifolds
Yannick Sire, Christopher D. Sogge, Chengbo Wang +1
We prove global-in-time Strichartz estimates for the shifted wave equations on non-trapping asymptotically hyperbolic manifolds. The key tools are the spectral measure estimates fr…
Existence and asymptotics of nonlinear Helmholtz eigenfunctions
Jesse Gell-Redman, Andrew Hassell, Jacob Shapiro +1
We prove the existence and asymptotic expansion of a large class of solutions to nonlinear Helmholtz equations of the form \begin{equation*} (Δ- λ^2) u = N[u], \end{equation*} wher…
Uniform resolvent estimates for Schrödinger operator with an inverse-square potential
Haruya Mizutani, Junyong Zhang, Jiqiang Zheng
We study the uniform resolvent estimates for Schrödinger operator with a Hardy-type singular potential. Let where is the usual Laplacian on $\mathbb{R}^…