Franklin

Stationary Diffraction by Wedges : Method of Automorphic Functions on Complex Characteristics / by Alexander Komech, Anatoli Merzon.

Author/Creator:
Komech, A. I. author., Author,
Publication:
Cham : Springer International Publishing : Imprint: Springer, 2019.
Format/Description:
Book
1 online resource (XI, 167 pages) : 19 illustrations, 3 illustrations in color.
Edition:
1st ed. 2019.
Series:
Mathematics and Statistics (Springer-11649)
Lecture Notes in Mathematics, 0075-8434 ; 2249
Lecture Notes in Mathematics, 0075-8434 ; 2249
Contained In:
Springer eBooks
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Details

Subjects:
Mathematical physics.
Differential equations, Partial.
Functions of complex variables.
Fourier analysis.
Local subjects:
Mathematical Applications in the Physical Sciences. (search)
Mathematical Physics. (search)
Partial Differential Equations. (search)
Functions of a Complex Variable. (search)
Fourier Analysis. (search)
System Details:
text file PDF
Summary:
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.
Contributor:
Merzon, Anatoli, author., Author,
SpringerLink (Online service)
Other format:
Printed edition:
Printed edition:
ISBN:
978-3-030-26699-8
9783030266998
Publisher Number:
10.1007/978-3-030-26699-8 doi
Access Restriction:
Restricted for use by site license.