WebFull-text available. May 2008. Kiril Datchev. Justin Holmer. We study the Gross-Pitaevskii equation with an attractive delta function potential and show that in the high velocity limit an incident ... WebMar 11, 2013 · Department of Mathematics, 77 Massachusetts Avenue, Massachusetts Institute of Technology, Cambridge, MA 02139, USA email [email protected] ... USA email [email protected]. SEMYON DYATLOV Affiliation: Department of Mathematics, University of California, Berkeley, CA 94720, USA email …
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WebKiril Datchev (MIT) Semiclassical resolvent estimates 7 December 2010 5 / 18. Background and motivationMain theoremProof of main theorem Resolvent estimates and propagators: wave decay Meromorphic continuation of the resolvent and uniform estimates in a strip implyexponential wave decay. kc(D g l2) 1ck WebOct 11, 2024 · We compute low energy asymptotics for the resolvent of a planar obstacle, and deduce asymptotics for the corresponding scattering matrix, scattering phase, and exterior Dirichlet-to-Neumann operator. We use an identity of Vodev to relate the obstacle resolvent to the free resolvent and an identity of Petkov and Zworski to relate the … photo id request system pirs
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WebThe Mathematics Genealogy Project is in need of funds to help pay for student help and other associated costs. If you would like to contribute, please donate online using credit … WebAug 13, 2024 · Download a PDF of the paper titled Propagation of singularities for the wave equation, by Dean Baskin and Kiril Datchev. Download PDF Abstract: ... Analysis of PDEs (math.AP) MSC classes: 35L05: Cite as: arXiv:2208.06725 [math.AP] (or arXiv:2208.06725v2 [math.AP] for this version) WebDec 21, 2024 · J.Math., 137 (5):1293–1364, 2015. [3] Michael , Beals and Michael , Reed . Microlocal regularity theorems for nonsmooth pseudodifferential operators and applications to nonlinear problems . how does hamlet react to ophelia