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

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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. 
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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/

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