Sobolev and max norm error estimates for Gaussian beam superpositions

DOI10.4310/CMS.2016.V14.N7.A12zbMath1372.35263arXiv1510.09120OpenAlexW2963869816MaRDI QIDQ345992

Olof Runborg, Nicolay M. Tanushev, Hai-liang Liu

Publication date: 5 December 2016

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.09120

zbMATH Keywords

error estimatesSobolev normGaussian beamshigh-frequency wave propagationmax norm

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Wave equation (35L05) A priori estimates in context of PDEs (35B45) Theoretical approximation in context of PDEs (35A35) Initial value problems for higher-order hyperbolic equations (35L30) Hyperbolic equations on manifolds (58J45) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (4)

Computing quantum dynamics in the semiclassical regime ⋮ Error estimates for Gaussian beams at a fold caustic ⋮ Stochastic regularity of a quadratic observable of high-frequency waves ⋮ General superpositions of Gaussian beams and propagation errors

This page was built for publication: Sobolev and max norm error estimates for Gaussian beam superpositions