On growth of Sobolev norms in time dependent linear Schrödinger equations on spheres

DOI10.1016/j.jmaa.2012.01.029zbMath1235.35235OpenAlexW2004165086MaRDI QIDQ408265

Daoyuan Fang, Qidi Zhang

Publication date: 29 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.01.029

zbMATH Keywords

time dependent Schrödinger equationSobolev norms

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Growth and boundedness of solutions to ordinary differential equations (34C11) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• On growth of Sobolev norms in linear Schrödinger equations with time dependent Gevrey potential
• KAM for the quantum harmonic oscillator
• On reducibility of Schrödinger equations with quasiperiodic in time potentials
• Bounded Sobolev norms for linear Schrödinger equations under resonant perturbations
• Expectation values of observables in time-dependent quantum mechanics
• On growth of Sobolev norms in linear Schrödinger equations with smooth time dependent potential
• Growth of Sobolev norms in linear Schrödinger equations with quasi-periodic potential
• On the energy growth of some periodically driven quantum systems with shrinking gaps in the spectrum
• Growth of Sobolev Norms of Solutions of Linear Schrodinger Equations on Some Compact Manifolds
• Logarithmic Bounds on Sobolev Norms for Time Dependent Linear Schrödinger Equations
• Unnamed Item

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