Blow-up of solutions for a viscoelastic equation with nonlinear damping

Yang Zhifeng

Open Mathematics (2008)

  • Volume: 6, Issue: 4, page 568-575
  • ISSN: 2391-5455

Abstract

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The initial boundary value problem for a viscoelastic equation with nonlinear damping in a bounded domain is considered. By modifying the method, which is put forward by Li, Tasi and Vitillaro, we sententiously proved that, under certain conditions, any solution blows up in finite time. The estimates of the life-span of solutions are also given. We generalize some earlier results concerning this equation.

How to cite

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Yang Zhifeng. "Blow-up of solutions for a viscoelastic equation with nonlinear damping." Open Mathematics 6.4 (2008): 568-575. <http://eudml.org/doc/269298>.

@article{YangZhifeng2008,
abstract = {The initial boundary value problem for a viscoelastic equation with nonlinear damping in a bounded domain is considered. By modifying the method, which is put forward by Li, Tasi and Vitillaro, we sententiously proved that, under certain conditions, any solution blows up in finite time. The estimates of the life-span of solutions are also given. We generalize some earlier results concerning this equation.},
author = {Yang Zhifeng},
journal = {Open Mathematics},
keywords = {viscoelastic equation; initial boundary value problem; blow-up; life-span},
language = {eng},
number = {4},
pages = {568-575},
title = {Blow-up of solutions for a viscoelastic equation with nonlinear damping},
url = {http://eudml.org/doc/269298},
volume = {6},
year = {2008},
}

TY - JOUR
AU - Yang Zhifeng
TI - Blow-up of solutions for a viscoelastic equation with nonlinear damping
JO - Open Mathematics
PY - 2008
VL - 6
IS - 4
SP - 568
EP - 575
AB - The initial boundary value problem for a viscoelastic equation with nonlinear damping in a bounded domain is considered. By modifying the method, which is put forward by Li, Tasi and Vitillaro, we sententiously proved that, under certain conditions, any solution blows up in finite time. The estimates of the life-span of solutions are also given. We generalize some earlier results concerning this equation.
LA - eng
KW - viscoelastic equation; initial boundary value problem; blow-up; life-span
UR - http://eudml.org/doc/269298
ER -

References

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