Sub-criticality of Schroedinger Systems with Antisymmetric Potentials

2009/11/05 by Tristan Rivière, Rivière, Tristan
Mathematics · #35J10 #35J47 #58E20 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35J10 #msc:35J47 #msc:58E20

paper · pdf · doi:10.48550/arxiv.0911.0988

arxiv created 2009/11/05 · arxiv updated 2009/12/01

Abstract

Let m be an integer larger or equal to 3. We prove that Schroedinger systems on B^m with L^m/2-antisymmetric potential Ω of the form -Δv=Ωv can be written in divergence form and we deduce that solutions v in L^m/(m-2) are in fact W^2,q_loc for any q<m/2.

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