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Start Over Author "Zhang, Hongwei" Topic cauchy problem Journal journal of mathematical analysis & applications Publisher academic press inc.

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1 results on '"Zhang, Hongwei"'

1. Global existence and nonexistence of solution for Cauchy problem of two-dimensional generalized Boussinesq equations.

Author

Zhang, Hongwei and Hu, Qingying

Subjects
*EXISTENCE theorems, *NUMERICAL solutions to the Cauchy problem, *TWO-dimensional models, *GENERALIZATION, *BOUSSINESQ equations
Abstract

In this paper we consider the Cauchy problem of two-dimensional generalized Boussinesq-type equation u t t − Δ u − Δ u t t + Δ 2 u + Δ f ( u ) = 0 . Under the assumption that f ( u ) is a function with exponential growth at infinity and under some assumptions on the initial data, we prove the existence and nonexistence of global weak solution. There are very few works on Boussinesq equation with nonlinear exponential growth term by potential well theory. [ABSTRACT FROM AUTHOR]

Published
2015
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