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Existence and asymptotic behaviour in a class of nonlinear wave equations with thermal dissipation

✍ Scribed by Jaime E. Muñoz Rivera

Book ID
107967652
Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
863 KB
Volume
23
Category
Article
ISSN
0362-546X

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Global existence, blow up and asymptotic behaviour of solutions for nonlinear Klein–Gordon equation with dissipative term
✍ Xu Runzhang 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 203 KB

## Abstract We study the Cauchy problem of nonlinear Klein–Gordon equation with dissipative term. By introducing a family of potential wells, we derive the invariant sets and prove the global existence, finite time blow up as well as the asymptotic behaviour of solutions. In particular, we show a s