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- Author: Victor Ivrii
- Publisher: Springer
- Year: 2010
- Pages: 733
- ISBN-10: 3642083072
- ISBN-13: 9783642083075
- Format: 15.6 x 23.4 x 3.8 cm, minkšti viršeliai
- Language: English
- SAVE -10% with code: EXTRA
Microlocal Analysis and Precise Spectral Asymptotics (e-book) (used book) | bookbook.eu
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The problem of spectral asymptotics, in particular the problem of the asymptotic dis- tribution of eigenvalues, is one of the central problems in the spectral theory of partial differential operators; moreover, it is very important for the general theory of partial differential operators. I started working in this domain in 1979 after R. Seeley found a remainder estimate of the same order as the then hypothetical second term for the Laplacian in domains with boundary, and M. Shubin and B. M. Levitan suggested that I should try to prove Weyl's conjecture. During the past fifteen years I have not left the topic, although I had such intentions in 1985 when the methods I invented seemed to fai! to provide furt her progress and only a couple of not very exciting problems remained to be solved. However, at that time I made the step toward local semiclassical spectral asymptotics and rescaling, and new horizons opened.
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- Author: Victor Ivrii
- Publisher: Springer
- Year: 2010
- Pages: 733
- ISBN-10: 3642083072
- ISBN-13: 9783642083075
- Format: 15.6 x 23.4 x 3.8 cm, minkšti viršeliai
- Language: English English
The problem of spectral asymptotics, in particular the problem of the asymptotic dis- tribution of eigenvalues, is one of the central problems in the spectral theory of partial differential operators; moreover, it is very important for the general theory of partial differential operators. I started working in this domain in 1979 after R. Seeley found a remainder estimate of the same order as the then hypothetical second term for the Laplacian in domains with boundary, and M. Shubin and B. M. Levitan suggested that I should try to prove Weyl's conjecture. During the past fifteen years I have not left the topic, although I had such intentions in 1985 when the methods I invented seemed to fai! to provide furt her progress and only a couple of not very exciting problems remained to be solved. However, at that time I made the step toward local semiclassical spectral asymptotics and rescaling, and new horizons opened.
Reviews