Verwandte Artikel zu Some Uniqueness Theorems for the Reduced Wave Equation...
Inhaltsangabe
Excerpt from Some Uniqueness Theorems for the Reduced Wave Equation
The general mixed boundary value problem in diffraction theory has apparently not been considered elsewhere, although some special problems have been investi gated. The third boundary value problem (for smooth surfaces) was treated by Leis [12] Regarding infinite boundaries, Peters and Stoker proved uniqueness for the case of a boundary in two dimensions which consists, eventually, of two straight lines extending to infinity. For the case of real k, the extension of the unique ness theorem to infinite boundaries presented here treats the three dimensional analogues of the infinite boundaries of [?fl, namely, eventually conical boundaries. However, in the three dimensional case, where the cones have arbitrary shapes they may have edges extending to infinity) and where mixed boundary condi tions are considered, the proof; although along lines similar to that of [b.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
Suchergebnisse für Some Uniqueness Theorems for the Reduced Wave Equation...
Foto des Verkäufers
Some Uniqueness Theorems for the Reduced Wave Equation (Classic Reprint)
Print-on-DemandAnbieter: Forgotten Books, London, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Paperback. Zustand: 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. Bestandsnummer des Verkäufers 9781330155424_0
Neu kaufen
EUR 16,91
Versand gratis
Versand von Vereinigtes Königreich nach USA
Versand von Vereinigtes Königreich nach USA
Anzahl: Mehr als 20 verfügbar
Beispielbild für diese ISBN
Some Uniqueness Theorems for the Reduced Wave Equation Classic Reprint
Anbieter: PBShop.store US, Wood Dale, IL, USA
Verkäuferbewertung 5 von 5 Sternen
PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781330155424
Beispielbild für diese ISBN
Some Uniqueness Theorems for the Reduced Wave Equation Classic Reprint
Anbieter: PBShop.store UK, Fairford, GLOS, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781330155424
Neu kaufen
EUR 25,82
EUR 3,91 Versand
Versand von Vereinigtes Königreich nach USA
Versand von Vereinigtes Königreich nach USA
Anzahl: 15 verfügbar
Beispielbild für diese ISBN
Some Uniqueness Theorems for the Reduced Wave Equation (Classic Reprint)
Anbieter: Buchpark, Trebbin, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Zustand: Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar. Bestandsnummer des Verkäufers 25799114/1
Gebraucht kaufen
EUR 17,57
EUR 105,00 Versand
Versand von Deutschland nach USA
Versand von Deutschland nach USA
Anzahl: 1 verfügbar