Global nonexistence of solutions for the viscoelastic wave equation of Kirchhoff type with high energy

Details Global nonexistence of solutions for the viscoelastic wave equation of Kirchhoff type with high energy Global nonexistence of solutions for the viscoelastic wave equation of Kirchhoff type with high energy

2011-09-27

arxiv.org/abs/1109.5916v1

Mathematics

Analysis of PDEs

12 pages

Scientific paper

In this paper we consider the viscoelastic wave equation of Kirchhoff type:
$$ u_{tt}-M(\|\nabla u\|_{2}^{2})\Delta u+\int_{0}^{t}g(t-s)\Delta u(s){\rm
d}s+u_{t}=|u|^{p-1}u $$ with Dirichlet boundary conditions. Under some suitable
assumptions on $g$ and the initial data, we established a global nonexistence
result for certain solutions with arbitrarily high energy.

Affiliated with

Also associated with

No associations

Rating

Global nonexistence of solutions for the viscoelastic wave equation of Kirchhoff type with high energy does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Global nonexistence of solutions for the viscoelastic wave equation of Kirchhoff type with high energy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global nonexistence of solutions for the viscoelastic wave equation of Kirchhoff type with high energy will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-63119