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Global Solutions for Dissipative Kirchhoff Strings with m(r) = rp (p < 1)

✍ Scribed by Marina Ghisi

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 97 KB
Volume: 250
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.6958

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✦ Synopsis

domain D A , ␦ ) 0 is a parameter, and m r s r with p -1. We prove that this problem has a unique global solution for positive times, provided that the

Ž< 1r 2 < 2 . Ž yi sumption and the non-degeneracy condition m A u ) 0 where p G 2 H 0 i . and ␣ s 2 q 1 . Moreover, we prove for this solution decay with a polynomial i rate as t ª qϱ. These results apply to degenerate hyperbolic PDEs with non-local non-linearities.

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Global Solutions for Dissipative Kirchhoff Strings with m(r)&#xa0;=&#xa0;rp (p&#xa0;<&#xa0;1)

✦ Synopsis

Global Solutions for Dissipative Kirchhoff Strings with m(r) = rp (p < 1)