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arbitrary positive initial energy

Proceedings of the Edinburgh Mathematical Society (1)

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1 results

A Class of Fourth Order Damped Wave Equations with Arbitrary Positive Initial Energy
Part of
- Partial differential equations
- Hyperbolic equations and systems
Yang Liu, Jia Mu, Yujuan Jiao
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 62 / Issue 1 / February 2019

Published online by Cambridge University Press:

14 September 2018, pp. 165-178
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In this paper, we study the initial boundary value problem for a class of fourth order damped wave equations with arbitrary positive initial energy. In the framework of the energy method, we further exploit the properties of the Nehari functional. Finally, the global existence and finite time blow-up of solutions are obtained.