Type II blow-up for the four dimensional energy critical semi linear heat equation (Q1932182)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Type II blow-up for the four dimensional energy critical semi linear heat equation |
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Type II blow-up for the four dimensional energy critical semi linear heat equation (English)
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17 January 2013
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The equation \(u_t=\Delta u+u^3\) is studied in space dimension \(N=4\). The existence of radial solutions with type II blow-up is shown and a sharp description of the singularity formation is given.
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semilinear parabolic equation
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critical exponent
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type II blow-up
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description of the singularity formation
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