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

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Abstract:

In this paper, we consider the Cauchy problem for the equation of dislocation of crystals utt-Deltau+u=u2+u3. The necessary and sufficient conditions of the existence of global solutions are obtained for E(0)=½(u12L2+u02H1)-Rn u00 f(s) ds dx

Document Type: Research Article

Affiliations: Research Center for Applied Mathematics, Xi'an Jiaotong University, Xi'an, 710049, People's Republic of China

Publication date: June 1, 1998

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