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.
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Supported by the National Natural Science Foundation of China (10071074) and the Natural Science Foundation of Henan Province.
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Xiangying, C. Existence and nonexistence of global solutions for nonlinear evolution equation of fourth order. Appl. Math. Chin. Univ. 16, 251–258 (2001). https://doi.org/10.1007/s11766-001-0063-6
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DOI: https://doi.org/10.1007/s11766-001-0063-6