Book Review: Huygens' principle and hyperbolic equations
نویسندگان
چکیده
منابع مشابه
On Huygens’ Principle for Dirac Operators and Nonlinear Evolution Equations
We exhibit a class of Dirac operators that possess Huygens’ property, i.e., the support of their fundamental solutions is precisely the light cone. This class is obtained by considering the rational solutions of the modified Korteweg-de Vries hierarchy.
متن کاملMultidimensional Baker-Akhiezer Functions and Huygens’ Principle
A notion of rational Baker-Akhiezer (BA) function related to a configuration of hyperplanes in C is introduced. It is proved that BA function exists only for very special configurations (locus configurations), which satisfy certain overdetermined algebraic system. The BA functions satisfy some algebraically integrable Schrödinger equations, so any locus configuration determines such an equation...
متن کاملGeneralized Huygens principle with pulsed-beam wavelets
Huygens’ principle states that the solution of the wave equation radiated by a bounded source can be represented outside the source region as a superposition of spherical ‘Huygens wavelets’ radiated by secondary point-sources on a surface enclosing the primary source. This was originally proposed as a geometrical explanation of wave propagation, but as such it is conceptually problematic becaus...
متن کاملNormally Hyperbolic Operators, the Huygens Property and Conformal Geometry
In this paper we give a review on normally hyperbolic operators of Huygens type. The methods to determine Huygens operators we explain here were essentially innuenced and developed by Paul G unther.
متن کاملHuygens' principle and iterative methods in inverse obstacle scattering
The main purpose of this paper is to establish relations between three iterative numerical methods based on Huygen’s principle that arose almost simultaneously to solve a particular inverse problem. The inverse problem we consider in this paper is to determine the shape of an obstacle from the knowledge of the far field pattern for scattering of time-harmonic plane waves. In the case of scatter...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1990
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-1990-15941-5