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This article is cited in 2 scientific papers (total in 2 papers)
Brief communications
Estimates and Spectral Asymptotics for Systems with Multiplicities
I. V. Kamotskiiab, M. V. Ruzhanskya a Imperial College, Department of Mathematics
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
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.
Received: 05.02.2004
Citation:
I. V. Kamotskii, M. V. Ruzhansky, “Estimates and Spectral Asymptotics for Systems with Multiplicities”, Funktsional. Anal. i Prilozhen., 39:4 (2005), 78–80; Funct. Anal. Appl., 39:4 (2005), 308–310
Linking options:
https://www.mathnet.ru/eng/faa87https://doi.org/10.4213/faa87 https://www.mathnet.ru/eng/faa/v39/i4/p78
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Abstract page: | 475 | Full-text PDF : | 190 | References: | 53 |
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