Non-Elliptic Quadratic Forms and Semiclassical Estimates for Non-selfadjoint Operators

Autor:	Joe Viola
Rok vydání:	2012
Předmět:	Class (set theory) Mathematics - Analysis of PDEs Quadratic equation Pseudodifferential operators General Mathematics Mathematical analysis FOS: Mathematics Semiclassical physics 47A10 35P15 Characteristic point Analysis of PDEs (math.AP) Resolvent Mathematics
Zdroj:	International Mathematics Research Notices. 2013:4615-4671
ISSN:	1687-0247 1073-7928
DOI:	10.1093/imrn/rns188
Popis:	We consider a class of pseudodifferential operators with a doubly characteristic point, where the quadratic part of the symbol fails to be elliptic but obeys an averaging assumption. Under suitable additional assumptions, semiclassical resolvent estimates are established, where the modulus of the spectral parameter is allowed to grow slightly more rapidly than the semiclassical parameter. 41 pages, 1 figure
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f46c64e5e0d446382b6c11cd1d72127d https://doi.org/10.1093/imrn/rns188 Zobrazit plný text záznamu