University of Birmingham > Talks@bham > Analysis seminar > Resolvent estimates for the Laplacian outside of uniform boundedness range

Resolvent estimates for the Laplacian outside of uniform boundedness range

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If you have a question about this talk, please contact Alessio Martini.

This talk concerns with boundedness of the resolvent of the Laplacian, which has application to various related problems such as, uniform Sobolev inequality, unique continuation, and spectral analysis. Uniform resolvent estimates which are independent of the spectral parameter are now well understood by the work of Kenig-Ruiz-Sogge and Gutierrez. However, the sharp bounds depending on the spectral parameter have not been considered in general framework. In this talk we present a rather complete picture for boundedness of the resolvent outside of the uniform boundedness range and also discuss boundedness of related multiplier operators.

This talk is part of the Analysis seminar series.

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