The Invariance of the Wave Operators for the Laplacian in an Exterior Domain PDF Download
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Author: Norman Alexander Shenk
Publisher:
ISBN:
Category : Calculus, Operational
Languages : en
Pages : 38
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Book Description
Author: Norman Alexander Shenk
Publisher:
ISBN:
Category : Calculus, Operational
Languages : en
Pages : 38
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Book Description
Author: Tosio Kato
Publisher: Springer Science & Business Media
ISBN: 364266282X
Category : Mathematics
Languages : en
Pages : 643
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Book Description
From the reviews: "[...] An excellent textbook in the theory of linear operators in Banach and Hilbert spaces. It is a thoroughly worthwhile reference work both for graduate students in functional analysis as well as for researchers in perturbation, spectral, and scattering theory. [...] I can recommend it for any mathematician or physicist interested in this field." Zentralblatt MATH
Author:
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ISBN:
Category : Union catalogs
Languages : en
Pages : 744
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Book Description
Author:
Publisher:
ISBN:
Category : Union catalogs
Languages : en
Pages : 744
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Book Description
Includes entries for maps and atlases.
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Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 744
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Book Description
Author: Steven Rosenberg
Publisher: Cambridge University Press
ISBN: 9780521468312
Category : Mathematics
Languages : en
Pages : 190
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Book Description
This text on analysis of Riemannian manifolds is aimed at students who have had a first course in differentiable manifolds.
Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 930
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Book Description
Without specializing in a small number of subject areas, this journal emphasizes the most active and influential areas of current mathematics.
Author: Steve Zelditch
Publisher: American Mathematical Soc.
ISBN: 1470410370
Category : Mathematics
Languages : en
Pages : 410
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Book Description
Eigenfunctions of the Laplacian of a Riemannian manifold can be described in terms of vibrating membranes as well as quantum energy eigenstates. This book is an introduction to both the local and global analysis of eigenfunctions. The local analysis of eigenfunctions pertains to the behavior of the eigenfunctions on wavelength scale balls. After re-scaling to a unit ball, the eigenfunctions resemble almost-harmonic functions. Global analysis refers to the use of wave equation methods to relate properties of eigenfunctions to properties of the geodesic flow. The emphasis is on the global methods and the use of Fourier integral operator methods to analyze norms and nodal sets of eigenfunctions. A somewhat unusual topic is the analytic continuation of eigenfunctions to Grauert tubes in the real analytic case, and the study of nodal sets in the complex domain. The book, which grew out of lectures given by the author at a CBMS conference in 2011, provides complete proofs of some model results, but more often it gives informal and intuitive explanations of proofs of fairly recent results. It conveys inter-related themes and results and offers an up-to-date comprehensive treatment of this important active area of research.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 884
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Book Description
Author: Walter A. Strauss
Publisher: John Wiley & Sons
ISBN: 0470054565
Category : Mathematics
Languages : en
Pages : 467
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Book Description
Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
