Crossing of eigenvalues: Measure type estimates

Didier Bresch; Benoît Desjardins; Emmanuel Grenier

doi:10.1016/j.jde.2007.06.018

Crossing of eigenvalues: Measure type estimates

Didier Bresch^*
, Benoît Desjardins
, Emmanuel Grenier

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

This paper deals with the behavior of eigenvalues for some non-homogeneous elliptic operators. More precisely, we present measure type estimates evaluating neighborhoods of the so-called resonant set. Various problems like the non-homogeneous incompressible limit of the compressible Navier-Stokes equations lead to such studies. This will be the purpose of a forthcoming paper.

Original language	English
Pages (from-to)	207-224
Number of pages	18
Journal	Journal of Differential Equations
Volume	241
Issue number	2
DOIs	https://doi.org/10.1016/j.jde.2007.06.018
Publication status	Published - 15 Oct 2007
Externally published	Yes

Keywords

Crossing eigenvalues
Measure type estimate
Non-homogeneous elliptic operator
Wave propagation

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10.1016/j.jde.2007.06.018

Cite this

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title = "Crossing of eigenvalues: Measure type estimates",

abstract = "This paper deals with the behavior of eigenvalues for some non-homogeneous elliptic operators. More precisely, we present measure type estimates evaluating neighborhoods of the so-called resonant set. Various problems like the non-homogeneous incompressible limit of the compressible Navier-Stokes equations lead to such studies. This will be the purpose of a forthcoming paper.",

keywords = "Crossing eigenvalues, Measure type estimate, Non-homogeneous elliptic operator, Wave propagation",

author = "Didier Bresch and Beno{\^i}t Desjardins and Emmanuel Grenier",

year = "2007",

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doi = "10.1016/j.jde.2007.06.018",

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journal = "Journal of Differential Equations",

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T2 - Measure type estimates

AU - Bresch, Didier

AU - Desjardins, Benoît

AU - Grenier, Emmanuel

PY - 2007/10/15

Y1 - 2007/10/15

N2 - This paper deals with the behavior of eigenvalues for some non-homogeneous elliptic operators. More precisely, we present measure type estimates evaluating neighborhoods of the so-called resonant set. Various problems like the non-homogeneous incompressible limit of the compressible Navier-Stokes equations lead to such studies. This will be the purpose of a forthcoming paper.

AB - This paper deals with the behavior of eigenvalues for some non-homogeneous elliptic operators. More precisely, we present measure type estimates evaluating neighborhoods of the so-called resonant set. Various problems like the non-homogeneous incompressible limit of the compressible Navier-Stokes equations lead to such studies. This will be the purpose of a forthcoming paper.

KW - Crossing eigenvalues

KW - Measure type estimate

KW - Non-homogeneous elliptic operator

KW - Wave propagation

UR - https://www.scopus.com/pages/publications/34548406085

U2 - 10.1016/j.jde.2007.06.018

DO - 10.1016/j.jde.2007.06.018

M3 - Article

AN - SCOPUS:34548406085

SN - 0022-0396

VL - 241

SP - 207

EP - 224

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 2

ER -

Crossing of eigenvalues: Measure type estimates

Abstract

Keywords

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