Stepwise gauge equivalence of differential operators

DOI10.1007/s11006-005-0084-1zbMath1089.47503OpenAlexW2081504718MaRDI QIDQ2388199

S. P. Khekalo

Publication date: 8 September 2005

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-005-0084-1

zbMATH Keywords

Laplace operatordifferential operatorHuygens principlegauge equivalencesystem of nonlinear partial differential equationsHadamard ansatz

Mathematics Subject Classification ID

General theory of partial differential operators (47F05)

Related Items (2)

Transmutation Operators For Ordinary Dunkl–Darboux Operators ⋮ Solution of the Hadamard problem in the class of stepwise gauge-equivalent deformations of homogeneous differential operators with constant coefficients

Cites Work

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• Hierarchies of Huygens' operators and Hadamard's conjecture
• Huygens' principle in Minkowski spaces and soliton solutions of the Korteweg-de Vries equation
• Riesz potentials in the space of rectangular matrices, and the iso-Huygens deformation of the Cayley-Laplace operator.
• Iso-Huygens deformations of the ultrahyperbolic operator
• Hadamard's problem and Coxeter groups: New examples of Huygens' equations
• Bispectral commutative ordinary differential operators.
• Solution of a restricted Hadamard problem on Minkowski spaces
• The problem of lacunas and analysis on root systems
• Huygens' principle and integrability
• Fundamental solutions for partial differential equations with reflection group invariance

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