The Palais-Smale condition for the energy of some semilinear parabolic equations
Hiroshima mathematical journal Volume 30 Issue 1
Page 117-127
published_at 2000-03
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| File | |
| Title ( eng ) |
The Palais-Smale condition for the energy of some semilinear parabolic equations
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| Creator | |
| Source Title |
Hiroshima mathematical journal
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| Volume | 30 |
| Issue | 1 |
| Start Page | 117 |
| End Page | 127 |
| Abstract |
In this paper we show that all the global solutions for some semilinear parabolic equations naturally contain a Palais-Smale sequence as a subsequence and then we apply a global compactness result due to Struwe [16] to the Palais-Smale sequence. Furthermore, the finite-time blowup problems are discussed.
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| Keywords |
Parabolic equation
Palais-Smale sequence
Global compactness result
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| NDC |
Mathematics [ 410 ]
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| Language |
eng
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| Resource Type | departmental bulletin paper |
| Publisher |
Department of Mathematics, Faculty of Science, Hiroshima University
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| Date of Issued | 2000-03 |
| Publish Type | Version of Record |
| Access Rights | open access |
| Source Identifier |
[ISSN] 0018-2079
[NCID] AA00664323
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