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Hokkaido University Preprint Series in Mathematics >
BLOW-UP RESULTS FOR A REACTION-DIFFUSION SYSTEM
| Title: | BLOW-UP RESULTS FOR A REACTION-DIFFUSION SYSTEM |
| Authors: | Yamauchi, Yusuke Browse this author |
| Keywords: | blow-up | | reaction-diffusion system | | Cauchy problem |
| Issue Date: | 2006 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 791 |
| Start Page: | 1 |
| End Page: | 18 |
| Abstract: | We consider the Cauchy problem for the reactiondiffusion ystem with the nonlinear terms |x|σjupj vqj . In this system, he exponents p1 and q2 play a crucial role to determine the ehavior of the solutions. Using an ODE method, we prove the ujita-type nonexistence results for p1, q2 < 1, for q2 < 1 < p1 or or p1, q2 > 1. Moreover, we also show the nonexistence results for arge initial data. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69599 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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