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Author:
Publisher: Elsevier
ISBN: 0080871240
Category : Mathematics
Languages : en
Pages : 219
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Book Description
Spectral Theory and Asymptotics of Differential Equations
Author:
Publisher: Elsevier
ISBN: 0080871240
Category : Mathematics
Languages : en
Pages : 219
Get Book Here
Book Description
Spectral Theory and Asymptotics of Differential Equations
Author: Eduardus Marie de Jager
Publisher:
ISBN:
Category :
Languages : en
Pages : 208
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Book Description
Author: Eduardus Marie de Jager
Publisher:
ISBN:
Category : Asymptotic expansions
Languages : en
Pages : 226
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: E. M. de Jager
Publisher:
ISBN:
Category : Asymptotic Expansions Congresses
Languages : en
Pages : 208
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Book Description
Author: Scheveningen Conference on Differential Equations
Publisher:
ISBN: 9780720427004
Category : Vector spaces
Languages : en
Pages : 85
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Book Description
Author: Victor Ivrii
Publisher: Springer Science & Business Media
ISBN: 3662124963
Category : Mathematics
Languages : en
Pages : 736
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Book Description
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.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Sebastian Klein
Publisher: Springer
ISBN: 303001276X
Category : Mathematics
Languages : en
Pages : 326
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Book Description
This book develops a spectral theory for the integrable system of 2-dimensional, simply periodic, complex-valued solutions u of the sinh-Gordon equation. Such solutions (if real-valued) correspond to certain constant mean curvature surfaces in Euclidean 3-space. Spectral data for such solutions are defined (following ideas of Hitchin and Bobenko) and the space of spectral data is described by an asymptotic characterization. Using methods of asymptotic estimates, the inverse problem for the spectral data is solved along a line, i.e. the solution u is reconstructed on a line from the spectral data. Finally, a Jacobi variety and Abel map for the spectral curve are constructed and used to describe the change of the spectral data under translation of the solution u. The book's primary audience will be research mathematicians interested in the theory of infinite-dimensional integrable systems, or in the geometry of constant mean curvature surfaces.
Author: Michael Demuth
Publisher: Birkhäuser
ISBN: 3034882319
Category : Mathematics
Languages : en
Pages : 346
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Book Description
The intention of the international conference PDE2000 was to bring together specialists from different areas of modern analysis, mathematical physics and geometry, to discuss not only the recent progress in their own fields but also the interaction between these fields. The special topics of the conference were spectral and scattering theory, semiclassical and asymptotic analysis, pseudodifferential operators and their relation to geometry, as well as partial differential operators and their connection to stochastic analysis and to the theory of semigroups. The scientific advisory board of the conference in Clausthal consisted of M. Ben-Artzi (Jerusalem), Chen Hua (Peking), M. Demuth (Clausthal), T. Ichinose (Kanazawa), L. Rodino (Turin), B.-W. Schulze (Potsdam) and J. Sjöstrand (Paris). The book is aimed at researchers in mathematics and mathematical physics with interests in partial differential equations and all its related fields.
