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Blow-up behavior for the Klein–Gordon and other perturbed semilinear wave equations

✍ Scribed by Hamza, M.A.; Zaag, H.


Book ID
120364830
Publisher
Elsevier Science
Year
2013
Tongue
French
Weight
333 KB
Volume
137
Category
Article
ISSN
0007-4497

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📜 SIMILAR VOLUMES


Solitary waves for the perturbed nonline
✍ Amin Esfahani 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 345 KB

In this work, we study the perturbed nonlinear Klein-Gordon equation. We shall use the sech-ansätze method to derive the solitary wave solutions of this equation.

Blow-up behavior outside the origin for
✍ Frank Merle; Hatem Zaag 📂 Article 📅 2011 🏛 Elsevier Science 🌐 French ⚖ 190 KB

We consider the semilinear wave equation in the radial case with conformal subcritical power nonlinearity. If we consider a blow-up point different from the origin, then we exhibit a new Lyapunov functional which is a perturbation of the one-dimensional case and extend all our previous results known