Existence and nonexistence of global solutions for nonlinear evolution equation of fourth order |
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| Authors: | Chen Xiangying |
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| Affiliation: | (1) Dept. of Fundamental Courses, Zhengzhou Electric Power College, 450004 Zhengzhou |
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| Abstract: | The existence and uniqueness of classical global solutions and the nonexistence of global solutions to the first boundary value problem and the second boundary value problem for the equation u tt −a 1 u xx −a 2 u xxt =ϕ(u x ) x are proved. Supported by the National Natural Science Foundation of China (10071074) and the Natural Science Foundation of Henan Province. |
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| Keywords: | Nonlinear hyperbolic equation initial boundary value problem classical global soliton blow up. |
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