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The problem of computing spectra of operators is arguably one of the most investigated areas of computational mathematics. However, the problem of computing spectra of general bounded infinite matrices has only recently been solved. We establish some
Externí odkaz:
http://arxiv.org/abs/1908.09592
Autor:
Viola, Joe
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 esti
Externí odkaz:
http://arxiv.org/abs/1109.5045
Autor:
Viola, Joe
Publikováno v:
J. London Math. Soc. (2012) 85 (1): 41-78
We study resolvent estimates for non-selfadjoint semiclassical pseudodifferential operators with double characteristics. Assuming that the quadratic approximation along the double characteristics is elliptic, we obtain polynomial upper bounds on the
Externí odkaz:
http://arxiv.org/abs/0910.2511
Autor:
Joe Viola
Publikováno v:
International Mathematics Research Notices. 2013:4615-4671
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 esti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f46c64e5e0d446382b6c11cd1d72127d
https://doi.org/10.1093/imrn/rns188
https://doi.org/10.1093/imrn/rns188
Autor:
Joe Viola
We study resolvent estimates for non-selfadjoint semiclassical pseudodifferential operators with double characteristics. Assuming that the quadratic approximation along the double characteristics is elliptic, we obtain polynomial upper bounds on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6002bc7c9833d3bdf17727923a49643e
http://arxiv.org/abs/0910.2511
http://arxiv.org/abs/0910.2511