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Asymptotical self-similarity in nonlinear parabolic systems

✍ Scribed by Joanna Rencłlawowicz


Book ID
105765966
Publisher
SP Birkhäuser Verlag Basel
Year
2005
Tongue
English
Weight
216 KB
Volume
12
Category
Article
ISSN
1021-9722

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Self-Similar Subsolutions and Blowup for
✍ Philippe Souplet; Fred B Weissler 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 229 KB

For a wide class of nonlinear parabolic equations of the form u y ⌬ u s t Ž . F u, ٌu , we prove the nonexistence of global solutions for large initial data. We also estimate the maximal existence time. To do so we use a method of comparison with suitable blowing up self-similar subsolutions. As a c