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Resolvent Estimates and Semigroup Expansions for Non-self-adjoint Schrodinger Operators
Başlık:
Resolvent Estimates and Semigroup Expansions for Non-self-adjoint Schrodinger Operators
Yazar:
Bellis, Ben, author.
ISBN:
9780438075405
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 electronic resource (80 pages)
Genel Not:
Source: Dissertation Abstracts International, Volume: 79-11(E), Section: B.
Advisors: Mikhail Khitrik Committee members: Eric D'Hoker; James V. Ralston; Terence C. Tao.
Özet:
In this work we examine aspects of spectral theory for semiclassical non-self-adjoint Schrodinger operators. First, we show a subelliptic resolvent estimate for spectral parameters in an unbounded cubic neighborhood of the imaginary axis for a broad class of semiclassical Schrodinger operators with complex potentials of at most quadratic growth. We then generalize this result by showing that the same type of resolvent estimate also holds for non-self-adjoint magnetic Schrodinger operators under suitable growth conditions on the magnetic potential. Lastly, we show how this resolvent estimate can be applied to yield a large time expansion for the semigroup generated by such an operator in terms of spectral data near the origin.
Notlar:
School code: 0031
Konu Başlığı:
Tüzel Kişi Ek Girişi:
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Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
---|---|---|---|
XX(694822.1) | 694822-1001 | Proquest E-Tez Koleksiyonu | Arıyor... |
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