Sharp condition for global existence and blow-up on Klein-Gordon equation (Q1036273)
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scientific article; zbMATH DE number 5632440
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sharp condition for global existence and blow-up on Klein-Gordon equation |
scientific article; zbMATH DE number 5632440 |
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Sharp condition for global existence and blow-up on Klein-Gordon equation (English)
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13 November 2009
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Summary: 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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family of potential wells
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0.93758166
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0.9374144
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0.93251354
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0.9273535
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