Lp bounds on eigenfunctions for operators with double characteristics

2015/04/04 by Katya Krupchyk, Günther Uhlmann, Krupchyk, Katya +2
Computer Science · Mathematics · #35P20 #81Q12 #81Q20 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1504.01069

openalex publication_date 2015/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain sharp Lp bounds on the ground states for a class of semiclassical pseudodifferential operators with double characteristics and complex valued symbols, under the assumption that the quadratic approximations along the double characteristics are elliptic.

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