A survey on Huygens' principle
From MaRDI portal
Publication:1355105
DOI10.4171/ZAA/747zbMath0884.35081MaRDI QIDQ1355105
Volkmar Wünsch, Martin Belger, Rainer Schimming
Publication date: 19 May 1997
Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)
Pseudodifferential and Fourier integral operators on manifolds (58J40) PDEs in connection with relativity and gravitational theory (35Q75) Second-order hyperbolic equations (35L10)
Related Items (7)
On the application of lacunae-based methods to Maxwell's equations ⋮ Gravitational lensing beyond geometric optics. I: Formalism and observables ⋮ Lacunae based stabilization of PMLs ⋮ Huygens triviality of the time-independent Schrödinger equation. Applications to atomic and high energy physics ⋮ Huygens' principle, Dirac operators, and rational solutions of the AKNS hierarchy ⋮ On Huygens' principle for Dirac operators associated to electromagnetic fields ⋮ 3D time-dependent scattering about complex shapes using high order difference potentials
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The wave equation for differential forms
- Huygens' principle and Hadamard's conjecture
- Cauchy's problem and Huygens' principle for the linearized Einstein field equations
- Cauchy's problem and Huygens' principle for relativistic higher spin wave equations in an arbitrary curved space-time
- Huygens' principle for a generalized Euler-Poisson-Darboux equation
- Zur Gültigkeit des Huygensschen Prinzips bei hyperbolischen Differentialgleichungssystemen in statischen Raum-Zeiten. (Validity of Huygens' principle for hyperbolic differential equation systems in static space times)
- Second-order hyperbolic Huygens differential equations for multicomponent fields
- Equipartition of energy for waves in symmetric space
- Huygens' principle for wave equations on symmetric spaces
- On massless fields with arbitrary spin
- The spectral geometry of a Riemannian manifold
- Massive fields of arbitrary spin in curved space-times
- Helmholtz operators on harmonic manifolds
- An explicit determination of the non-self-adjoint wave equations that satisfy Huygens' principle on Petrov type III background space-times
- On Huygens' principle for the Hodge-de Rham equations with Lorentzian gauge
- Hadamard's problem and Coxeter groups: New examples of Huygens' equations
- Ein Beispiel einer nichttrivialen Huygensschen Differentialgleichung mit vier unabhängigen Variablen
- The fundamental solution and Huygens' principle for decomposable differential operators
- Eine Klasse Huygensscher Differentialgleichungen und ihre Integration
- Huygenssche Differentialgleichungen, die zur Wellengleichung infinitesimal benachbart sind
- Le problème de M. Hadamard rélatif à la diffusion des ondes
- The problem of diffusion of waves
- Some hints on huygens' principle and hadamard's conjecture
- On Cauchy's problem for linear partial differential equations of second order in four variables
- Über die Darbouxsche Differentialgleichung mit variablen Koeffizienten
- On Huygens' Principle for the Relativistic Higher Spin Wave Equations of Buchdahl and Wünsch in Presence of a Gravitational and an Electromagnetic Field
- Huygens' Principle on Petrov Type D Space-Times
- THE CAUCHY PROBLEM FOR THE EULER-POISSON-DARBOUX EQUATION IN A SYMMETRIC SPACE
- On some Polynomial Conformal Tensors
- Contributions to a Theory of Polynomial Conformal Tensors
- Selbstadjungierte huygenssche Differentialgleichungen zweiter Ordnung für nichtskalare Spintensorfelder
- Laplace-Like Linear Differential Operators with a Logarithm-Free Elementary Solution
- Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
- Charakterisierung von Raum-Zeit-Mannigfaltigkeiten durch Relationen zwischen ihren Krümmungsspinoren unter Benutzung eines modifizierten Newman-Penrose-Kalküls
- An example of huygens' principle
- Maxwellsche Gleichungen und Huygenssches Prinzip I
- Maxwellsche Gleichungen und Huygenssches Prinzip II
- Huygens' principle and integrability
- Fundamental solutions for partial differential equations with reflection group invariance
- RIEMANNsche Räume mit ebenfrontiger und mit ebener Symmetrie
- Harmonische geodätische p‐Formen in nichteuklidischen Räumen
- A Solution of Hadamard's Problem for a Restricted Class of Operators
- Fundamental Solutions of Invariant Differential Operators on Symmetric Spaces
- Generally Covariant Integral Formulation of Einstein's Field Equations
- Über selbstadjungierte H<scp>UYGENS</scp>sche Differentialgleichungen mit vier unabhängigen Variablen
- On the degree of sharpness in solutions of Einstein’s field equations
This page was built for publication: A survey on Huygens' principle
