Geodesic
Estimates and Spectral Asymptotics for Systems with Multiplicities
Funkcionalʹnyj analiz i ego priloženiâ, Tome 39 (2005) no. 4, pp. 78-80

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider elliptic and hyperbolic systems with diagonalizable principal part. Characteristics are allowed to have variable multiplicities. Assuming that the characteristics are generic, we give estimates for solutions of a hyperbolic Cauchy problem in $L^p$ spaces. The first and second terms of the spectral asymptotics are obtained for the corresponding elliptic system.
Keywords: system with multiplicities, spectral asymptotics, Fourier integral operator, Sobolev space. 
@article{FAA_2005_39_4_a6,
     author = {I. V. Kamotskii and M. V. Ruzhansky},
     title = {Estimates and {Spectral} {Asymptotics} for {Systems} with {Multiplicities}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {78--80},
     publisher = {mathdoc},
     volume = {39},
     number = {4},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2005_39_4_a6/}
}
TY  - JOUR
AU  - I. V. Kamotskii
AU  - M. V. Ruzhansky
TI  - Estimates and Spectral Asymptotics for Systems with Multiplicities
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2005
SP  - 78
EP  - 80
VL  - 39
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2005_39_4_a6/
LA  - ru
ID  - FAA_2005_39_4_a6
ER  - 
%0 Journal Article
%A I. V. Kamotskii
%A M. V. Ruzhansky
%T Estimates and Spectral Asymptotics for Systems with Multiplicities
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2005
%P 78-80
%V 39
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2005_39_4_a6/
%G ru
%F FAA_2005_39_4_a6
I. V. Kamotskii; M. V. Ruzhansky. Estimates and Spectral Asymptotics for Systems with Multiplicities. Funkcionalʹnyj analiz i ego priloženiâ, Tome 39 (2005) no. 4, pp. 78-80. http://geodesic.mathdoc.fr/item/FAA_2005_39_4_a6/