Stationary Diffraction by Wedges
Method of Automorphic Functions on Complex Characteristics
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Beschreibung
This book presents a new and original method for the solution of boundary value problems in angles for second-order elliptic equations with constant coefficients and arbitrary boundary operators. This method turns out to be applicable to many different areas of mathematical physics, in particular to diffraction problems in angles and to the study of trapped modes on a sloping beach.
Giving the reader the opportunity to master the techniques of the modern theory of diffraction, the book introduces methods of distributions, complex Fourier transforms, pseudo-differential operators, Riemann surfaces, automorphic functions, and the Riemann–Hilbert problem.
The book will be useful for students, postgraduates and specialists interested in the application of modern mathematics to wave propagation and diffraction problems.
This book presents a new and original method for the solution of boundary value problems in angles for second-order elliptic equations with constant coefficients and arbitrary boundary operators. This method turns out to be applicable to many different areas of mathematical physics, in particular to diffraction problems in angles and to the study of trapped modes on a sloping beach.
Giving the reader the opportunity to master the techniques of the modern theory of diffraction, the book introduces methods of distributions, complex Fourier transforms, pseudo-differential operators, Riemann surfaces, automorphic functions, and the Riemann–Hilbert problem.
The book will be useful for students, postgraduates and specialists interested in the application of modern mathematics to wave propagation and diffraction problems.
Gives a brief, accessible, modern review of the history of the development of the mathematical theory of diffraction Covers techniques applicable to a wide range of problems Provides a detailed and well-illustrated explanation of an original method, missing in the present literature
Autor*in
Alexander Komech
Themen in »Stationary Diffraction by Wedges«
Automorphic Functions Boundary Value Problem Complex Fourier Transform Diffraction Distributions Elliptic Equation Factorization Fredholm Operators Helmholtz Equation Holomorphic Functions Paley-Wiener Theorem Pseudo-differential Operators Riemann Surface Riemann-Hilbert Problem Wedge