Non-existence results for a semilinear hyperbolic problem with boundary condition of memory type

M. Kirane; N. E. Tatar

doi:10.4171/zaa/961

Non-existence results for a semilinear hyperbolic problem with boundary condition of memory type

M. Kirane^*
, N. E. Tatar

^*Corresponding author for this work

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

25 Scopus citations

Abstract

We consider a problem which models the evolution of sound in a compressible fluid with reflection of sound at the surface of the material. Different methods such as the concavity method of Levine, the potential well method and an argument due to Tsutsumi are used to derive global non-existence theorems.

Original language	English
Pages (from-to)	453-468
Number of pages	16
Journal	Zeitschrift fur Analysis und ihre Anwendung
Volume	19
Issue number	2
DOIs	https://doi.org/10.4171/zaa/961
State	Published - 2000
Externally published	Yes

Keywords

Blow-up in finite time
Semilinear hyperbolic equations

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.4171/zaa/961

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title = "Non-existence results for a semilinear hyperbolic problem with boundary condition of memory type",

abstract = "We consider a problem which models the evolution of sound in a compressible fluid with reflection of sound at the surface of the material. Different methods such as the concavity method of Levine, the potential well method and an argument due to Tsutsumi are used to derive global non-existence theorems.",

keywords = "Blow-up in finite time, Semilinear hyperbolic equations",

author = "M. Kirane and Tatar, \{N. E.\}",

year = "2000",

doi = "10.4171/zaa/961",

language = "English",

volume = "19",

pages = "453--468",

journal = "Zeitschrift fur Analysis und ihre Anwendung",

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publisher = "European Mathematical Society Publishing House",

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T1 - Non-existence results for a semilinear hyperbolic problem with boundary condition of memory type

AU - Kirane, M.

AU - Tatar, N. E.

PY - 2000

Y1 - 2000

N2 - We consider a problem which models the evolution of sound in a compressible fluid with reflection of sound at the surface of the material. Different methods such as the concavity method of Levine, the potential well method and an argument due to Tsutsumi are used to derive global non-existence theorems.

AB - We consider a problem which models the evolution of sound in a compressible fluid with reflection of sound at the surface of the material. Different methods such as the concavity method of Levine, the potential well method and an argument due to Tsutsumi are used to derive global non-existence theorems.

KW - Blow-up in finite time

KW - Semilinear hyperbolic equations

UR - https://www.scopus.com/pages/publications/23044518140

U2 - 10.4171/zaa/961

DO - 10.4171/zaa/961

M3 - Article

AN - SCOPUS:23044518140

SN - 0232-2064

VL - 19

SP - 453

EP - 468

JO - Zeitschrift fur Analysis und ihre Anwendung

JF - Zeitschrift fur Analysis und ihre Anwendung

IS - 2

ER -

Non-existence results for a semilinear hyperbolic problem with boundary condition of memory type

Abstract

Keywords

ASJC Scopus subject areas

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