Estimates and spectral asymptotics for systems with multiplicities

I V Kamotski; M V Ruzhansky

Estimates and spectral asymptotics for systems with multiplicities

I V Kamotski, M V Ruzhansky

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

2 Citations (SciVal)

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.

Original language	English
Pages (from-to)	308-310
Number of pages	3
Journal	Functional Analysis and Its Applications
Volume	39 Oct-Dec
Issue number	4
Publication status	Published - 2005

Bibliographical note

ID number: ISI:000234168400007

Cite this

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title = "Estimates and spectral asymptotics for systems with multiplicities",

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.",

author = "Kamotski, {I V} and Ruzhansky, {M V}",

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year = "2005",

language = "English",

volume = "39 Oct-Dec",

pages = "308--310",

journal = "Functional Analysis and Its Applications",

issn = "0016-2663",

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T1 - Estimates and spectral asymptotics for systems with multiplicities

AU - Kamotski, I V

AU - Ruzhansky, M V

N1 - ID number: ISI:000234168400007

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

M3 - Article

SN - 0016-2663

VL - 39 Oct-Dec

SP - 308

EP - 310

JO - Functional Analysis and Its Applications

JF - Functional Analysis and Its Applications

IS - 4

ER -

Estimates and spectral asymptotics for systems with multiplicities

Abstract

Bibliographical note

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