Pointwise Convergence of Solutions to the Schrödinger Equation on Manifolds

DOI10.4153/CJM-2018-001-4zbMath1421.35312arXiv1609.02964OpenAlexW2782936715MaRDI QIDQ5224978

Xing Wang, Chun Jie Zhang

Publication date: 25 July 2019

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.02964

zbMATH Keywords

manifoldSchrödinger operatorStrichartz estimatepointwise convergence

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Wave equation (35L05) Time-dependent Schrödinger equations and Dirac equations (35Q41) Harmonic analysis and PDEs (42B37)

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Convergence problem of reduced Ostrovsky equation in Fourier–Lebesgue spaces with rough data and random data ⋮ Convergence problem of Ostrovsky equation with rough data and random data ⋮ A sharp regularity estimate for the Schrödinger propagator on the sphere ⋮ Pointwise convergence over fractals for dispersive equations with homogeneous symbol ⋮ Convergence problem of Schrödinger equation and wave equation in low regularity spaces ⋮ Counterexamples for the fractal Schrödinger convergence problem with an intermediate space trick ⋮ Convergence problem of Schrödinger equation in Fourier-Lebesgue spaces with rough data and random data ⋮ Probabilistic pointwise convergence problem of Schrödinger equations on manifolds ⋮ Convergence over fractals for the periodic Schrödinger equation

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