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Free Boundary Problem For The Localization Of Eigenfunctions by Guy David

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1A Free Boundary Problem For The Localization Of Eigenfunctions

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We study a variant of the Alt, Caffarelli, and Friedman free boundary problem with many phases and a slightly different volume term, which we originally designed to guess the localization of eigenfunctions of a Schr\"odinger operator in a domain. We prove Lipschitz bounds for the functions and some nondegeneracy and regularity properties for the domains.

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The book is available for download in "texts" format, the size of the file-s is: 1.63 Mbs, the file-s for this book were downloaded 18 times, the file-s went public at Sat Jun 30 2018.

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