The blowup of solutions of the Cauchy problem { u t =u xx + |u| p&1 u u(x, 0)=u 0 (x) in R\\_(0, ), in R is studied. Let 4 k be the set of functions on R which change sign k times. It is shown that for p k =1+2ร(k+1), k=0, 1, 2, ... , any solution with u 0 # 4 k blows up in finite time if 1 p k . T
Blowup of solutions of semilinear parabolic equations
โ Scribed by Avner Friedman; Andrew A Lacey
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 517 KB
- Volume
- 132
- Category
- Article
- ISSN
- 0022-247X
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