Remarks on invariant subspaces and \(L^ p\)-solutions of the Schrödinger evolution equation

DOI10.1007/BF02574123zbMath0853.47034OpenAlexW2041383201MaRDI QIDQ1916049

Min-Jei Huang

Publication date: 12 January 1997

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135472

zbMATH Keywords

Hamiltonianweighted Sobolev spacespropagatorstrong continuityinvariance propertySchrödinger evolution equationexistence of \(L^ p\) solutions

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Equations involving nonlinear operators (general) (47J05)

Cites Work

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• Weighted Sobolev spaces and rapidly decreasing solutions of some nonlinear dispersive wave equations
• Space-time behavior of propagators for Schrödinger evolution equations with Stark effect
• Commutators and invariant domains for Schrödinger propagators
• Commutators and self-adjointness of Hamiltonian operators

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