Sharp Condition for Global Existence and Blow-Up on Klein-Gordon Equation

Zhao Junsheng and Li Shufeng

Mathematical Problems in Engineering, 2009, vol. 2009, 1-9

Abstract:

We study the initial boundary value problem of the nonlinear Klein-Gordon equation. First we introduce a family of potential wells. By using them, we obtain a new existence theorem of global solutions and show the blow-up in finite time of solutions. Especially the relation between the above two phenomena is derived as a sharp condition.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:164303

DOI: 10.1155/2009/164303

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