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Blowing up behavior for a class of nonlinear VIEs connected with parabolic PDEs

✍ Scribed by F. Calabrò; G. Capobianco


Book ID
118426775
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
589 KB
Volume
228
Category
Article
ISSN
0377-0427

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Blow-up solutions for a class of nonline
✍ Juntang Ding 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 119 KB

In the present paper, the blow up of smooth local solutions for a class of nonlinear parabolic equations u;t =∇(a(u)∇u) + f(x; u; q; t) (q = |∇u| 2 ) with Dirichlet boundary conditions are studied. By constructing an auxiliary function and using Hopf's maximum principles on it, the su cient conditio