Solution of the Hadamard problem in the class of stepwise gauge-equivalent deformations of homogeneous differential operators with constant coefficients
DOI10.1090/S1061-0022-08-01034-0zbMath1206.35162MaRDI QIDQ3079236
Publication date: 2 March 2011
Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)
deformationshomogeneous operatorsHuygens principlegauge equivalenceRiesz kernelsHadamard problemstepwise gauge equivalence
Pseudodifferential operators as generalizations of partial differential operators (35S05) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Fundamental solutions to PDEs (35A08) Higher-order hyperbolic equations (35L25)
Cites Work
- Hierarchies of Huygens' operators and Hadamard's conjecture
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- Ein Beispiel einer nichttrivialen Huygensschen Differentialgleichung mit vier unabhängigen Variablen
- Gauge-equivalent deformations of linear ordinary differential operators with constant coefficients
- The solution of Cauchy's problem for two totally hyperbolic linear differential equations by means of Riesz integrals
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- The Cayley-Laplace differential operator on the space of rectangular matrices
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