2010 Fiscal Year Final Research Report
A study on the asymptotic behavior of infinite-time blow up solutions for parabolic equations involving critical Hardy-Sobolev exponent
| Project/Area Number |
19740081
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Global analysis
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| Research Institution | Muroran Institute of Technology |
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Principal Investigator |
ISHIWATA Michinori Muroran Institute of Technology, 共生システム理工学類, 准教授 (30350458)
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| Project Period (FY) |
2007 – 2010
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| Keywords | 臨界指数 / 漸近挙動 / コンパクト性の破れ / 無限時間爆発 |
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| Research Abstract |
In this study, we are concerned with the profiles of infinite time blow-up solutions for semilinear parabolic equations involving critical Sobolev-Hardy exponents. For the critical Sobolev case, which is a special case of the critical Sobolev-Hardy case, we find that the asymptotic behavior of infinite time blow-up solutions are governed by the nontrivial stationary solutions of the equations. We also treat the several parabolic equations which are related with Hardy and Sobolev inequalities.
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