Semi-classical measures and the Helmholtz Equation

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Abstract

In this expository article, we review and improve uniform resolvent estimates for a family of operators and show how such results can be applied to the study of the high frequency Helmboltz equation by means of semi-classical measures. For the source term concentrated near a point, we provide a complete solution to determine the semi-classical measure.

Keywords

Mourre's method depending on a parameter , semi-classical resolvent estimates in Besov spaces , The Helmholtz equation , semi-classical measure
  • Xue Ping Wang Département de Mathématiques, Laboratoire Jean Leray, CNRS-UMR 6629, Université de Nantes, 2 rue de la Houssiniere, F-44322 Nantes Cedex 03, France.
  • Pages: 71-97
  • Date Published: 2005-04-01
  • Vol. 7 No. 1 (2005): CUBO, A Mathematical Journal

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Published

2005-04-01

How to Cite

[1]
X. Ping Wang, “Semi-classical measures and the Helmholtz Equation”, CUBO, vol. 7, no. 1, pp. 71–97, Apr. 2005.

Issue

Vol. 7 No. 1 (2005): CUBO, A Mathematical Journal

Section

Articles