A blow up result for a fractionally damped wave equation

Nasser Eddine Tatar

doi:10.1007/s00030-005-0015-6

A blow up result for a fractionally damped wave equation

Nasser Eddine Tatar^*

^*Corresponding author for this work

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

25 Scopus citations

Abstract

In this paper we prove a blow up result for solutions of the wave equation with damping of fractional order and in presence of a polynomial source. This result improves a previous result in [5]. There we showed that the classical energy is unbounded provided that the initial data are large enough.

Original language	English
Pages (from-to)	215-226
Number of pages	12
Journal	Nonlinear Differential Equations and Applications
Volume	12
Issue number	2
DOIs	https://doi.org/10.1007/s00030-005-0015-6
State	Published - Aug 2005

Keywords

Blow up
Fractional derivative
Integro-differential problem
Singular kernel

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1007/s00030-005-0015-6

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title = "A blow up result for a fractionally damped wave equation",

abstract = "In this paper we prove a blow up result for solutions of the wave equation with damping of fractional order and in presence of a polynomial source. This result improves a previous result in [5]. There we showed that the classical energy is unbounded provided that the initial data are large enough.",

keywords = "Blow up, Fractional derivative, Integro-differential problem, Singular kernel",

author = "Tatar, \{Nasser Eddine\}",

year = "2005",

month = aug,

doi = "10.1007/s00030-005-0015-6",

language = "English",

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AU - Tatar, Nasser Eddine

PY - 2005/8

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AB - In this paper we prove a blow up result for solutions of the wave equation with damping of fractional order and in presence of a polynomial source. This result improves a previous result in [5]. There we showed that the classical energy is unbounded provided that the initial data are large enough.

KW - Blow up

KW - Fractional derivative

KW - Integro-differential problem

KW - Singular kernel

UR - https://www.scopus.com/pages/publications/25644446044

U2 - 10.1007/s00030-005-0015-6

DO - 10.1007/s00030-005-0015-6

M3 - Article

AN - SCOPUS:25644446044

SN - 1021-9722

VL - 12

SP - 215

EP - 226

JO - Nonlinear Differential Equations and Applications

JF - Nonlinear Differential Equations and Applications

IS - 2

ER -

A blow up result for a fractionally damped wave equation

Abstract

Keywords

ASJC Scopus subject areas

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