On potential wells and vacuum isolating of solutions for semilinear wave equations (Q1399887)
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scientific article; zbMATH DE number 1957260
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On potential wells and vacuum isolating of solutions for semilinear wave equations |
scientific article; zbMATH DE number 1957260 |
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On potential wells and vacuum isolating of solutions for semilinear wave equations (English)
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30 July 2003
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The author studies the initial boundary value problem of semilinear wave equation \(u_{tt}-\triangle u=|u|^{p-1}u\) on a bounded domain. He introduces a family of potential wells which include the known potential well as a special case, to prove existence and nonexistence theorems of global solutions for the problem.
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global solution
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nonexistence theorems
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existence theorems
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0.9303037
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0.8908226
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0.8853394
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0.8738894
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0.8726723
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0.8695619
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