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Existence and Nonexistence of Global Solutions for the Equation of Dislocation of Crystals

โœ Scribed by Li Kaitai; Zhang Quande

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
311 KB
Volume
146
Category
Article
ISSN
0022-0396

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โœฆ Synopsis

In this paper, we consider the Cauchy problem for the equation of dislocation of crystals u tt &2u+u=u 2 +u 3 . The necessary and sufficient conditions of the existence of global solutions are obtained for

ds dx<d ( f (s)=s 2 +s 3 , d is a given constant). We give the estimation of life span for the nonglobal solution. The existence and the nonexistence of solutions for E(0)=d are also considered.

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