Article ID Journal Published Year Pages File Type
842611 Nonlinear Analysis: Theory, Methods & Applications 2009 7 Pages PDF
Abstract

We study the Cauchy problem of a class of multidimensional generalized double dispersion equations utt−Δu−Δu−tt+Δ2u+kΔut=Δf(u)utt−Δu−Δu−tt+Δ2u+kΔut=Δf(u). We prove the global existence of weak solution under some assumptions on the nonlinear term and the initial data.

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Physical Sciences and Engineering Engineering Engineering (General)
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