Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842611 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 7 Pages |
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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Authors
Runzhang Xu, Yacheng Liu, Tao Yu,