Pseudo-differential energy estimates of singular perturbations

E. Grenier

doi:10.1002/(SICI)1097-0312(199709)50:9<821::AID-CPA2>3.0.CO;2-7

Pseudo-differential energy estimates of singular perturbations

E. Grenier^*

^*Corresponding author for this work

Sorbonne Université

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

61 Citations (Scopus)

Abstract

In this paper we study singular limits of hyperbolic systems, which exhibit large time oscillations, and in particular pseudo-differential energy estimates that enable us to obtain uniform existence time and a priori bounds on the solutions.

Original language	English
Pages (from-to)	821-865
Number of pages	45
Journal	Communications on Pure and Applied Mathematics
Volume	50
Issue number	9
DOIs	https://doi.org/10.1002/(SICI)1097-0312(199709)50:9<821::AID-CPA2>3.0.CO;2-7
Publication status	Published - Sept 1997
Externally published	Yes

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10.1002/(SICI)1097-0312(199709)50:9<821::AID-CPA2>3.0.CO;2-7

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title = "Pseudo-differential energy estimates of singular perturbations",

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author = "E. Grenier",

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AB - In this paper we study singular limits of hyperbolic systems, which exhibit large time oscillations, and in particular pseudo-differential energy estimates that enable us to obtain uniform existence time and a priori bounds on the solutions.

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U2 - 10.1002/(SICI)1097-0312(199709)50:9<821::AID-CPA2>3.0.CO;2-7

DO - 10.1002/(SICI)1097-0312(199709)50:9<821::AID-CPA2>3.0.CO;2-7

M3 - Article

AN - SCOPUS:0031503817

SN - 0010-3640

VL - 50

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JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

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Pseudo-differential energy estimates of singular perturbations

Abstract

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