Synopsis
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Présentation de l'éditeur
Institute of Mathematical Sciences Division of Electromagnetic Research Research Report No. BR-55 SOME UNIQUENESS THEOREMS FOR THE REDUCED WAVE EQUATION Leo M. Levine oyyi ,5-- -e. Leo M. Levine %vr. y, June 1961 fK Morris KL lne Director Qualified requestors may obtain copies of this report from the Armed Services Technical Information Agency Arlington Ball Station, Arlington 12, Virginia. Department of Defense contractors must be established for ASTIA services, or have their need to know certified by the cognizant military agency of their project. Reproduction in whole or in part is permitted for any purpose of the United States Government.
(Typographical errors above are due to OCR software and don't occur in the book.)
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Some Uniqueness Theorems for the Reduced Wave Equation (Classic Reprint)
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Paperback. Etat : New. Print on Demand. This book completes and extends the Magnus-Rellich uniqueness theorem for the reduced wave equation in infinite domains, including piece-wise smooth boundaries and mixed boundary conditions. No auxiliary "edge conditions" are required at edges or discontinuities in the boundary conditions; continuity of the wave function in the closure of the domain is sufficient. This extension allows several interesting problems in diffraction theory, such as diffraction by a disk of zero thickness or a semi-infinite circular cone. The original uniqueness theorem for the reduced wave equation in infinite domains was stated by Sommerfeld, and first proved by Magnus. The elimination of an extraneous "finiteness condition" was accomplished by Rellich, resulting in the theorem stated above. The author extends the theorem to include a considerably more general class of finite boundaries and infinite boundaries, and boundaries with singularities of the type occurring at the apex of a (generalized) cone. The extension to infinite boundaries is limited to the case where the domain is "eventually conical", i.e. outside a sufficiently large sphere, it is generated by a ray emanating from the center. This book represents a significant contribution to the field of diffraction theory, providing a more general and flexible framework for analyzing wave phenomena in complex domains. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781330155424_0
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Some Uniqueness Theorems for the Reduced Wave Equation Classic Reprint
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Some Uniqueness Theorems for the Reduced Wave Equation (Classic Reprint)
Edité par
Forgotten Books, 2015
ISBN 10 : 1330155424
ISBN 13 : 9781330155424
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Etat : Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar. N° de réf. du vendeur 25799114/1
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