Propagation of singularities of solutions to semilinear Schrödinger equations

DOI10.3792/pjaa.61.31zbMath0604.35035OpenAlexW2065450761MaRDI QIDQ1083611

Tsutomu Sakurai

Publication date: 1985

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.61.31

zbMATH Keywords

weighted Sobolev spacesemilinear Schrödinger equationpseudo-differential operatorspropagation of singularitiesbicharacteristic stripsholomorphic nonlinearitymicro-localized Sobolev spaceparaproduct of tempered distributions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Pseudodifferential operators as generalizations of partial differential operators (35S05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

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• Propagation des singularités des solutions d'équations pseudo-différentielles quasi homogènes
• Singularities of solutions to semilinear wave equations
• On the existence and the regularity of solutions of linear pseudo- differential equations
• Wave packets and fourier integral operators