Agmon-Type Exponential Decay Estimates for Pseudodifferential Operators

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概要

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• We study generalizations of Agmon-type estimates on eigenfunctions for Schrodinger operators. In the first part, we prove an exponential decay estimate on eigenfunctions for a class of pseudodifferential operators. In the second part, we study the semiclassical limit of $\h$-pseudodifferential operators, and exponential decay estimates on eigenfunctions and Briet-Combes-Duclos-type resolvent estimates are proved.

• 東京大学の論文

著者

• NAKAMURA Shu

  Graduate School of Mathematical Sciences, University of Tokyo

• 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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