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Non-linear Time Degenerate Parabolic Inequalities and Applications

✍ Scribed by D.B. Dhaigude; D.Y. Kasture


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
184 KB
Volume
175
Category
Article
ISSN
0022-247X

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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