On the well-posedness of the mixed problem for hyperbolic operators with characteristics of variable multiplicity
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 6, pp. 85-98
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The paper is devoted to the study of the well-posedness of the mixed problem for hyperbolic equations with constant coefficients and characteristics of variable multiplicity. The authors distinguish a class of higher-order hyperbolic operators with constant coefficients and characteristics of variable multiplicity for which a generalization of the Sakamoto $L_2$-well-posedness of the mixed problem is obtained.
@article{FPM_2006_12_6_a5,
author = {P. A. Zakharchenko and E. V. Radkevich},
title = {On the well-posedness of the mixed problem for hyperbolic operators with characteristics of variable multiplicity},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {85--98},
publisher = {mathdoc},
volume = {12},
number = {6},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2006_12_6_a5/}
}
TY - JOUR AU - P. A. Zakharchenko AU - E. V. Radkevich TI - On the well-posedness of the mixed problem for hyperbolic operators with characteristics of variable multiplicity JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2006 SP - 85 EP - 98 VL - 12 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2006_12_6_a5/ LA - ru ID - FPM_2006_12_6_a5 ER -
%0 Journal Article %A P. A. Zakharchenko %A E. V. Radkevich %T On the well-posedness of the mixed problem for hyperbolic operators with characteristics of variable multiplicity %J Fundamentalʹnaâ i prikladnaâ matematika %D 2006 %P 85-98 %V 12 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2006_12_6_a5/ %G ru %F FPM_2006_12_6_a5
P. A. Zakharchenko; E. V. Radkevich. On the well-posedness of the mixed problem for hyperbolic operators with characteristics of variable multiplicity. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 6, pp. 85-98. http://geodesic.mathdoc.fr/item/FPM_2006_12_6_a5/