Bilinear Kakeya-Nikodym averages of eigenfunctions on compact Riemannian surfaces
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Publication:322371
DOI10.1016/j.jfa.2016.04.015zbMath1364.58016arXiv1602.06936OpenAlexW2287760919MaRDI QIDQ322371
Yakun Xi, Christopher D. Sogge, Jianwei Yang, Chang Xing Miao
Publication date: 7 October 2016
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.06936
Related Items (2)
Stabilization of wave equations on the torus with rough dampings ⋮ Inner product of eigenfunctions over curves and generalized periods for compact Riemannian surfaces
Cites Work
- Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces
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- Concerning the \(L^ p\) norm of spectral clusters for second-order elliptic operators on compact manifolds
- Concerning Toponogov's theorem and logarithmic improvement of estimates of eigenfunctions
- Refined and microlocal Kakeya-Nikodym bounds for eigenfunctions in two dimensions
- Refined and microlocal Kakeya-Nikodym bounds of eigenfunctions in higher dimensions
- Oscillatory integrals and multipliers on FL\(^p\)
- On eigenfunction restriction estimates and $L^4$-bounds for compact surfaces with nonpositive curvature
- Local Smoothing of Fourier Integral Operators and Carleson-Sjolin Estimates
- Hangzhou Lectures on Eigenfunctions of the Laplacian
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