Heat-flow monotonicity of Strichartz norms

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dc.creatorBennett, Jonathan
dc.creatorBez, Neal
dc.creatorCarbery, Anthony
dc.creatorHundertmark, Dirk
dc.date2008-09-27
dc.date.accessioned2026-07-07T10:06:00Z
dc.date.available2026-07-07T10:06:00Z
dc.descriptionMost notably we prove that for $d=1,2$ the classical Strichartz norm $$\|e^{i sΔ}f\|_{L^{2+4/d}_{s,x}(\mathbb{R}\times\mathbb{R}^d)}$$ associated to the free Schrödinger equation is nondecreasing as the initial datum $f$ evolves under a certain quadratic heat-flow.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0809.4783
dc.identifierhttp://arxiv.org/abs/0809.4783
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170184
dc.subjectClassical Analysis and ODEs
dc.subject35Q40; 35K05
dc.titleHeat-flow monotonicity of Strichartz norms
dc.typetext

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