Semi-classical measures and the Helmholtz Equation
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								Xue Ping Wang
							
							
															
									
									
									wang@math.univ-nantes.fr
									
								
													
							
						 
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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.
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