Asymptotic behavior and blow-up of solutions to a nonlinear evolution equation of fourth order期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Asymptotic behavior and blow-up of solutions to a nonlinear evolution equation of fourth order

Authors:	Xiangying Chen Guowang Chen

Institution:	1. Department of Economy and Trade, Zhengzhou Electric Power College, Zhengzhou 450004, People’s Republic of China;2. Department of Mathematics, Zhengzhou University, No. 75 Daxue Road, Zhengzhou 450052, People’s Republic of China

Abstract:	In this paper, the asymptotic behavior of the solution to the initial–boundary value problem for a nonlinear evolution equation of fourth order equation(1) _u_t_t−_a₁_u_x_x−_a₂_u_x_x_t−_a₃_u_x_x_t_t=φ₍_u_x₎_x $u_{t t} - a_{1} u_{x x} - a_{2} u_{x x t} - a_{3} u_{x x t t} = φ {(u_{x})}_{x}$ is studied. The sufficient conditions for blow-up of the solutions to the initial–boundary value problems for Eq. (1) are given.

Keywords:	35L35 35L75 35B40
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