This article is cited in 3 papers

Iso-Huygens deformations of the Cayley operator by the general Lagnese–Stellmacher potential

S. P. Khekalo

Kolomna State Pedagogical Institute

Abstract: We construct and study iso-Huygens deformations of higher-order hyperbolic differential operators on the space of real symmetric matrices. Using the so-called skew symmetries, we introduce intertwining operators, which enable us to express fundamental solutions for these deformations in an explicit form and obtain conditions under which the strong Huygens principle holds for these deformations.

UDC: 517.944

MSC: 35A08, 35C05, 35Q53, 37K20, 14H70, 35L15

Received: 20.02.2002

DOI: 10.4213/im446

 English version: Izvestiya: Mathematics, 2003, 67:4, 815–836

Bibliographic databases:

• 
• 
• 
• 
•