Non-solvability of balakrishnan-taylor equation with memory term in ℝN

Abderrahmane Zaraï; Nasser eddine Tatar

doi:10.1007/978-1-4614-6393-1_27

Non-solvability of balakrishnan-taylor equation with memory term in ℝ^N

Abderrahmane Zaraï^*
, Nasser eddine Tatar

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

6 Scopus citations

Abstract

We establish a nonexistence result for a viscoelastic problem with Balakrishnan-Taylor damping and a nonlinear source in the whole space. The nonexistence result is based on the test function method developed by Mitidieri and Pohozaev. We establish some necessary conditions for local existence and global existence as well.

Original language	English
Title of host publication	Advances in Applied Mathematics and Approximation Theory
Subtitle of host publication	Contributions from AMAT 2012
Publisher	Springer New York LLC
Pages	411-419
Number of pages	9
ISBN (Print)	9781461463924
DOIs	https://doi.org/10.1007/978-1-4614-6393-1_27
State	Published - 2013

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	41
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/978-1-4614-6393-1_27

Cite this

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title = "Non-solvability of balakrishnan-taylor equation with memory term in ℝN",

abstract = "We establish a nonexistence result for a viscoelastic problem with Balakrishnan-Taylor damping and a nonlinear source in the whole space. The nonexistence result is based on the test function method developed by Mitidieri and Pohozaev. We establish some necessary conditions for local existence and global existence as well.",

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Non-solvability of balakrishnan-taylor equation with memory term in ℝ^N. / Zaraï, Abderrahmane; Tatar, Nasser eddine.
Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012. Springer New York LLC, 2013. p. 411-419 (Springer Proceedings in Mathematics and Statistics; Vol. 41).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Zaraï, Abderrahmane

AU - Tatar, Nasser eddine

PY - 2013

Y1 - 2013

N2 - We establish a nonexistence result for a viscoelastic problem with Balakrishnan-Taylor damping and a nonlinear source in the whole space. The nonexistence result is based on the test function method developed by Mitidieri and Pohozaev. We establish some necessary conditions for local existence and global existence as well.

AB - We establish a nonexistence result for a viscoelastic problem with Balakrishnan-Taylor damping and a nonlinear source in the whole space. The nonexistence result is based on the test function method developed by Mitidieri and Pohozaev. We establish some necessary conditions for local existence and global existence as well.

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DO - 10.1007/978-1-4614-6393-1_27

M3 - Conference contribution

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T3 - Springer Proceedings in Mathematics and Statistics

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BT - Advances in Applied Mathematics and Approximation Theory

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