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Funktsional'nyi Analiz i ego Prilozheniya, 2005, Volume 39, Issue 4, Pages 78–80
DOI: https://doi.org/10.4213/faa87 (Mi faa87) 		 
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
Full-text PDF (146 kB) Citations (2)
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DOI: https://doi.org/10.4213/faa87
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
English version:
Functional Analysis and Its Applications, 2005, Volume 39, Issue 4, Pages 308–310
DOI: https://doi.org/10.1007/s10688-005-0052-2
Bibliographic databases:
Document Type: Article
UDC: 515.1
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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