Dispersive estimates with loss of derivatives via the heat semigroup and the wave operator

DOI10.2422/2036-2145.201509_008zbMath1406.35070arXiv1407.4086OpenAlexW1721900696MaRDI QIDQ4604577

Valentin Samoyeau, Frédéric Bernicot

Publication date: 2 March 2018

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.4086

zbMATH Keywords

Strichartz inequalities\(H^1\)-BMO estimateunitary Schrödinger group

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Groups and semigroups of linear operators (47D03) A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Harmonic analysis and PDEs (42B37)

Related Items (6)

Strichartz estimates and Fourier restriction theorems on the Heisenberg group ⋮ Invariant measures for a stochastic nonlinear and damped 2D Schrödinger equation ⋮ Weak martingale solutions for the stochastic nonlinear Schrödinger equation driven by pure jump noise ⋮ Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space ⋮ Strichartz estimates with loss of derivatives under a weak dispersion property for the wave operator ⋮ Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3d compact manifolds

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