Approximating pointwise products of quasimodes

DOI10.1515/forum-2019-0208OpenAlexW2996285857MaRDI QIDQ2178788

Meiling Jin

Publication date: 11 May 2020

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.01037

zbMATH Keywords

bilinear estimatesquasimodeapproximation in \(H^{-1}\)-normapproximation pointwise products

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Variational methods applied to PDEs (35A15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Representations of solutions to partial differential equations (35C99)

Related Items (1)

The product of two high-frequency graph Laplacian eigenfunctions is smooth

Cites Work

• Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces
• Bilinear Strichartz estimates and applications to the cubic nonlinear Schrödinger equation in two space dimensions
• Oscillatory integrals and spherical harmonics
• Concerning the \(L^ p\) norm of spectral clusters for second-order elliptic operators on compact manifolds
• Multilinear estimates for the Laplace spectral projectors on compact manifolds.
• Sharp bilinear estimates and its application to a system of quadratic derivative nonlinear Schrödinger equations
• \(L^p\) bilinear quasimode estimates
• Approximating pointwise products of Laplacian eigenfunctions
• Semiclassical \(L^p\) estimates
• Bilinear estimates and applications to 2d NLS
• Fourier Integrals in Classical Analysis
• A note on $L^p$-norms of quasi-modes
• Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations

This page was built for publication: Approximating pointwise products of quasimodes