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Sharp Condition for Global Existence and Blow‐Up on Klein‐Gordon Equation
Zhao Junsheng, Li Shufeng
Source 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.
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