Bounds on the Blowup Rate for a Semilinear Heat Equation
碩士 === 國立中正大學 === 應用數學研究所 === 99 === We bound the growth rate at blowup of solutions of the semilinear parabolic equation .The analysis uses energy-type identities for a rescaled equation, obtained from the original one by introducing similarity variables. All results are restricted to subcritical...
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| Format: | Others |
| Language: | en_US |
| Published: |
2011
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| Online Access: | http://ndltd.ncl.edu.tw/handle/52970965886245871421 |
| Summary: | 碩士 === 國立中正大學 === 應用數學研究所 === 99 === We bound the growth rate at blowup of solutions of the semilinear parabolic equation .The analysis uses energy-type identities for a rescaled equation, obtained from the original one by introducing similarity variables. All results are restricted to subcritical p: 1<p<(n+2)/(n-2) or n≦2,1<q<p, where n is the space dimension.
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