Dispersion of singularities of solutions for Schrödinger equations

DOI10.1007/s00220-004-1086-7zbMath1112.35051OpenAlexW2026738660MaRDI QIDQ2565619

Shin-ichi Doi

Publication date: 28 September 2005

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

Full work available at URL: https://doi.org/10.1007/s00220-004-1086-7

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Singularity in context of PDEs (35A21) Propagation of singularities; initial value problems on manifolds (58J47)

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Cites Work

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• The trace of the generalized harmonic oscillator
• On the fundamental solution of a perturbed harmonic oscillator
• Smoothness of solutions for Schrödinger equations with unbounded potentials
• A Symbol Class for Some Schrodinger Equations on R n
• Microlocal dispersive smoothing for the Schrödinger equation

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