Iso-Huygens deformations of the Cayley operator by the general Lagnese--Stellmacher potential
Izvestiya. Mathematics , Tome 67 (2003) no. 4, pp. 815-836
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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.
@article{IM2_2003_67_4_a5,
author = {S. P. Khekalo},
title = {Iso-Huygens deformations of the {Cayley} operator by the general {Lagnese--Stellmacher} potential},
journal = {Izvestiya. Mathematics },
pages = {815--836},
publisher = {mathdoc},
volume = {67},
number = {4},
year = {2003},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_2003_67_4_a5/}
}
TY - JOUR AU - S. P. Khekalo TI - Iso-Huygens deformations of the Cayley operator by the general Lagnese--Stellmacher potential JO - Izvestiya. Mathematics PY - 2003 SP - 815 EP - 836 VL - 67 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_2003_67_4_a5/ LA - en ID - IM2_2003_67_4_a5 ER -
S. P. Khekalo. Iso-Huygens deformations of the Cayley operator by the general Lagnese--Stellmacher potential. Izvestiya. Mathematics , Tome 67 (2003) no. 4, pp. 815-836. http://geodesic.mathdoc.fr/item/IM2_2003_67_4_a5/