Correction to: ``Propagation of exponential phase space singularities for Schrödinger equations with quadratic Hamiltonians

DOI10.1007/S00041-021-09824-3zbMath1480.35338OpenAlexW3156076104WikidataQ114231690 ScholiaQ114231690MaRDI QIDQ829886

Evanthia Carypis, Patrik Wahlberg

Publication date: 6 May 2021

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-021-09824-3

zbMATH Keywords

heat equationSchrödinger equationpropagation of singularitiesGelfand-Shilov wave front setphase space singularities

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Singularity in context of PDEs (35A21) Initial value problems for PDEs with pseudodifferential operators (35S10) Wave front sets in context of PDEs (35A18) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (2)

Semigroups for quadratic evolution equations acting on Shubin–Sobolev and Gelfand–Shilov spaces ⋮ Continuity and compactness for pseudo-differential operators with symbols in quasi-Banach spaces or Hörmander classes

Cites Work

• \(L^ 2\) estimates for Fourier integral operators with complex phase
• Hermite functions and weighted spaces of generalized functions
• Symplectic classification of quadratic forms, and general Mehler formulas
• Propagation of exponential phase space singularities for Schrödinger equations with quadratic Hamiltonians
• The heat equation for the Hermite operator on the Heisenberg group

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