HUYGENS' PRINCIPLE AND SEPARATION OF VARIABLES
From MaRDI portal
Publication:4519838
DOI10.1142/S0129055X00000071zbMath0978.58013OpenAlexW2065730150WikidataQ115213268 ScholiaQ115213268MaRDI QIDQ4519838
Yuri Yu. Berest, Pavel Winternitz
Publication date: 4 December 2000
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129055x00000071
Huygens' principleLorentzian manifoldconformal transformationsHadamard conjecturewave-type hyperbolic operators
Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Partial differential equations of mathematical physics and other areas of application (35Q99) Hyperbolic equations and hyperbolic systems (35L99) Hyperbolic equations on manifolds (58J45)
Cites Work
- Differential equations in the spectral parameter
- Maximal abelian subalgebras of pseudounitary Lie algebras
- Maximal abelian subalgebras of complex orthogonal Lie algebras
- Huygens' principle and Hadamard's conjecture
- On a class of polynomials connected with the Korteweg-de Vries equation
- Maximal abelian subalgebras of pseudoorthogonal Lie algebras
- Hierarchies of Huygens' operators and Hadamard's conjecture
- Lacunae of hyperbolic Riesz kernels and commutative rings of partial differential operators
- Huygens' principle in Minkowski spaces and soliton solutions of the Korteweg-de Vries equation
- Commutative rings of partial differential operators and Lie algebras
- Separable systems of Stäckel
- Hadamard's problem and Coxeter groups: New examples of Huygens' equations
- The fundamental solution and Huygens' principle for decomposable differential operators
- Le problème de M. Hadamard rélatif à la diffusion des ondes
- L'intégrale de Riemann-Liouville et le problème de Cauchy
- The problem of diffusion of waves
- Maximal Abelian subalgebras of complex Euclidean Lie algebras
- Some hints on huygens' principle and hadamard's conjecture
- Separation of Variables for the Hamilton–Jacobi Equation on Complex Projective Spaces
- Maximal Abelian subgroups of the isometry and conformal groups of Euclidean and Minkowski spaces
- Subgroups of Lie groups and separation of variables
- Time‐band limiting and the bispectral problem
- Solution of a restricted Hadamard problem on Minkowski spaces
- A new basis for the representations of the rotation group. Lamé and Heun polynomials
- Maximal abelian subalgebras of real and complex symplectic Lie algebras
