Cover of: Scattering theory for the d

Scattering theory for the d"Alembert equation in exterior domains

  • 184 Pages
  • 4.59 MB
  • 598 Downloads
  • English
by
Springer-Verlag , Berlin, New York
Sound-waves -- Scattering., Wave equation., Lagrange equations., Laplacian oper
StatementCalvin H. Wilcox.
SeriesLecture notes in mathematics ; 442, Lecture notes in mathematics (Springer-Verlag) ;, 442.
Classifications
LC ClassificationsQA3 .L28 no. 442, QC243.3.S3 .L28 no. 442
The Physical Object
Pagination184 p. ;
ID Numbers
Open LibraryOL5187181M
ISBN 10038707144X
LC Control Number75006605

Scattering Theory for the d'Alembert Equation in Exterior Domains. Authors; Calvin H. Wilcox; Book. Search within book. Front Matter. Pages i PDF. Pages Steady-state scattering theory in exterior domains and the limiting absorption principle. Calvin H. Wilcox. Pages Time-dependent scattering theory in exterior Time-dependent scattering theory in exterior domains.- Steady-state scattering theory and eigenfunction expansions for A.- Wave operators and asymptotic solutions of the d'Alembert equation in exterior domains.- Asymptotic wave functions and energy distributions in exterior domains.

Series Title: Lecture notes in mathematics (Springer-Verlag), Scattering Theory for the d'Alembert Equation in Exterior Domains. Authors; Calvin H. Wilcox; Book. Citations; k Downloads; Part of the Lecture Notes in Mathematics book series (LNM, volume ) Download book PDF.

Chapters Table of contents (8 chapters Steady-state scattering theory in exterior domains and the limiting absorption Scattering theory for the d'Alembert equation in exterior domains. Berlin ; New York: Springer-Verlag, (DLC) (OCoLC) Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Calvin H Wilcox Additional Physical Format: Print version: Wilcox, Calvin Hayden, Scattering theory for the d'Alembert equation in exterior domains.

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We have Steady-state scattering theory in exterior domains and the limiting absorption principle. Pages *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis. ebook access is temporary and  › Mathematics.

Scattering Theory for the d'Alembert Equation in Exterior Domains. Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library. Create \u00A0\u00A0\u00A0\n schema:name\/a> \" Scattering Theory for the d\'Alembert Equation in Exterior Domains\/span>\" ; \u00A0\u00A0 Steady-state scattering theory in exterior domains Scattering theory for the dAlembert equation in exterior domains book the limiting absorption principle.- Time-dependent scattering theory in exterior domains.- Steady-state scattering theory and eigenfunction expansions for A.- Wave operators and asymptotic solutions of the d'Alembert equation in exterior domains.- book reviews.

scattering theory for the d'alembert equation in exterior domains Sudoc Catalogue:: Livre / BookScattering theory for the d'Alembert equation in exterior domains / Calvin H. Wilcox. Date: Type: Livre / Book.

Langue / Language: anglais / English. ISBN: X. ISBN: X. Catalogue Worldcat. Lagrange, Équations de Scattering theory for the d'Alembert equation in exterior Cite this chapter as: Wilcox C.H. () Wave operators and asymptotic solutions of the d'Alembert equation in exterior domains.

In: Scattering Theory for the d'Alembert Equation in Exterior ://   Buy On the Accurate Long-Time Solution of the Wave Equation in Exterior Domains: Asymptotic Expansions and Corrected Boundary Conditions by Administration (Nasa), National Aeronaut online on at best prices.

Fast and free shipping free returns cash on delivery available on eligible :// The focusing NLS on exterior domains in three dimensions. Global well-posedness and scattering for the energy-critical nonlinear Schrödinger equation in $\mathbb{R}^{3}$, Ann.

of Math., (), doi: /annals Google Scholar [7] E. Davies, Spectral theory and differential operators Cambridge Studies in   Book Search tips Selecting this option will search all publications across the Scitation platform Selecting this option will search all publications for the Publisher/Society in context.

Scattering Theory for the d’Alembert Equation in Exterior Domains, Wilcox C.H. () Asymptotic wave functions and energy distributions in exterior domains.

Description Scattering theory for the d"Alembert equation in exterior domains EPUB

In: Scattering Theory for the d'Alembert Equation in Exterior Domains. Lecture Notes in Mathematics, vol   () Solving Helmholtz equation at high wave numbers in exterior domains.

Applied Mathematics and Computation() Is Pollution Effect of Finite Difference Schemes Avoidable for Multi-Dimensional Helmholtz Equations with High Wave Numbers?. Abstract. So far in this monograph we have been concerned with acoustic wave scattering problems.

In dealing with such problems we have adopted the Wilcox theory of acoustic scattering introduced in [].The main reasons for doing this were, on the one hand, that the Wilcox theory uses quite elementary results from functional analysis, the spectral theory of self-adjoint operators on Hilbert Scattering Theory for the D’Alembert Equation in Exterior Domains.

Springer. Lecture. Notes in Math.Book Review: Vibration and coupling of continuous systems: asymptotic methods Abstract. An abstract theory of scattering is developed for dissipative hyperbolic systems, a typical example of which is the wave equation: u tt = Δu in an exterior domain with lossy boundary conditions: u n ∓ α ut = 0, α ≥ 0.

In this theory, as in an earlier theory developed by the authors for conservative systems, a central role is played by two distinguished subspaces of data common   A new technique for numerically solving the reduced wave equation on exterior domains is presented.

The method is basically a relaxation scheme which exploits the limiting amplitude principle. A modified boundary condition at “infinity” is also :// Existence problem for the Kirchhoff type wave equation with a localized weakly nonlinear dissipation in exterior domains.

Discrete & Continuous Dynamical Systems - A,11 (2&3): doi: /dcds [9] Yonggeun Cho, Gyeongha Hwang, Tohru Ozawa Time-dependent scattering theory in exterior domains.- Steady-state scattering theory and eigenfunction expansions for A.- Wave operators and asymptotic solutions of the d'Alembert equation in R.

Inverse Acoustic and Electromagnetic Scattering Theory. Berlin: Springer-Verlag, Analysis of a spectral-Galerkin approximation to the Helmholtz equation in exterior domainsCrossRef Google Scholar The Ishimori equation is gauge equivalent to the Davey–Stewartson-II equation and is therefore solvable by the inverse scattering theory.

The inverse scattering transform associated with the time-dependent Schrödinger equation can be used to solve the Cauchy problem for the Kadomtsev–Petviashvili-I ://   () High-frequency Bounds for the Helmholtz Equation Under Parabolic Trapping and Applications in Numerical Analysis.

SIAM Journal on Mathematical AnalysisAbstract | Stabilization of Schrödinger equation in exterior domains Article (PDF Available) in ESAIM Control Optimisation and Calculus of Variations 13(3) July with Reads How we measure 'reads' Inverse Acoustic and Electromagnetic Scattering Theory, Appl.

Math. Sci This work is devoted to review infinite element discretizations for the Helmholtz equation in exterior domains, which We study the stability for the direct acoustic scattering problem with sound-hard scatterers with minimal regularity assumptions on the scatterers.

The main tool we use for this purpose is the convergence in the sense of Mosco. We obtain uniform decay estimates for scattered fields and we investigate how a sound-hard screen may be approximated by thin sound-hard ://   A method for the resolution of the Helmholtz equation in interior and exterior domains has been presented.

The proposed approximation uses an analytical pattern for the interpolation on the radial direction and a series expansion of the FE trial and test functions for the interpolation on the zenithal and azimuthal ://   We consider the scattering theory for the Schrödinger equation with − Δ − | x | α as a reference Hamiltonian, for 0.

Details Scattering theory for the d"Alembert equation in exterior domains PDF

In the book ”Operator theory and Applications”, Fields Institute Communica-tionsvol. 25, AMS,Providence,pp. (, umar, s). Existence and uniqueness of the scattering solutions in the exterior of rough domains Alexander G.

Ramm Department of Mathematics Kansas State University Manhattan, KS ?doi=&rep=rep1&type=pdf.The Dirichlet problem for the 2D Helmholtz equation in an exterior domain with cracks is studied. The compatibility conditions at the tips of the cracks are assumed.

The existence of a unique classical solution is proved by potential theory. The integral representation for a solution in the form of potentials is obtained. The problem is reduced to the Fredholm equation of the second kind and Yamazaki [23] considers the initial-boundary value problem for the Kirchhoff equations in exterior domains of dimension three, showing that these problems admit time-global solutions.

Yamazaki [22