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Existence of blow-up solutions for a non-linear equation with gradient term in

✍ Scribed by A. Hamydy; M. Massar; N. Tsouli

Book ID
108178802
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
167 KB
Volume
377
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES

Finite Time Blow-up for a Non-linear Par
Finite Time Blow-up for a Non-linear Parabolic Equation with a Gradient Term and Applications
✍ Philippe Souplet πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 732 KB

We give new finite time blow-up results for the non-linear parabolic equations u, -Au = up and u, -Au + pIVul4 = up. We first establish an a priori bound in Lpf ' for the positive non-decreasing global solutions. As a consequence, we prove in particular that for the second equation on RN, with q = 2