A class of fourth order wave equations with dissipative and nonlinear strain terms |
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| Authors: | Yacheng Liu Runzhang Xu |
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| Institution: | a College of Science, Harbin Engineering University, 150001, People's Republic of China
b College of Automation, Harbin Engineering University, 150001, People's Republic of China |
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| Abstract: | We study the initial boundary value problem for a class of fourth order wave equations with dissipative and nonlinear strain terms. By introducing a family of potential wells we not only obtain the invariant sets and vacuum isolating of solutions, but also give some threshold results of global existence and nonexistence of solutions. |
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| Keywords: | Fourth order wave equations Dissipative Potential wells Global existence Nonexistence |
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