Semiclassical singularities propagation property for Schrodinger equations

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概要

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• We consider Schrödinger equations with variable coefficients, which are long-range type perturbations of the flat Laplacian on Rn. We characterize the wave front set of solutions to Schrödinger equations in terms of the initial state. Then it is shown that the singularities propagates along the classical flow, and results are formulated in a semiclassical setting. Methods analogous to the long-range scattering theory, in particular a modified free propagator, are employed.

• 社団法人 日本数学会の論文
• 2009-01-01

著者

• NAKAMURA Shu

  Graduate School of Mathematical Sciences, University of Tokyo

• Nakamura Shu

  Graduate School Of Mathematical Science University Of Tokyo

関連論文

• Schrodinger equations on scattering manifolds and microlocal singularities (Spectral and Scattering Theory and Related Topics)
• Semiclassical singularities propagation property for Schrodinger equations
• Agmon-Type Exponential Decay Estimates for Pseudodifferential Operators

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