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Blow up for nonlinear parabolic equations with time degeneracy under dynamical boundary conditions

✍ Scribed by Gaëlle Pincet Mailly

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
231 KB
Volume
67
Category
Article
ISSN
0362-546X

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📜 SIMILAR VOLUMES

Complete and energy blow-up in parabolic
Complete and energy blow-up in parabolic problems with nonlinear boundary conditions
✍ Pavol Quittner; Aníbal Rodríguez-Bernal 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 214 KB

We study the possible continuation of solutions of a nonlinear parabolic problem after the blow-up time. The nonlinearity in the equation is dissipative and blow-up is caused by the nonlinear boundary condition of the form ju/j = |u| q-1 u, where q > 1 is subcritical in H 1 ( ). If the dissipative t