Wave Front Set for Solutions to Perturbed Harmonic Oscillators

DOI10.1080/03605300902768891zbMath1178.35013arXiv0810.1577OpenAlexW2171194168MaRDI QIDQ5321931

Shu Nakamura, Shikuan Mao

Publication date: 16 July 2009

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.1577

zbMATH Keywords

short-range perturbation

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Singularity in context of PDEs (35A21) Wave front sets in context of PDEs (35A18)

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Cites Work

• Smoothness and non-smoothness of the fundamental solution of time dependent Schrödinger equations
• Reconstruction of singularities for solutions of Schrödinger's equation
• The Schrödinger propagator for scattering metrics
• Wave front set for solutions to Schrödinger equations
• Semiclassical singularities propagation property for Schrödinger equations
• Microlocal dispersive smoothing for the Schrödinger equation