Blow-up for a parabolic system with nonlocal sources and nonlocal boundary conditions
Author:
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Link
http://link.springer.com/content/pdf/10.1186/s13661-015-0325-5.pdf
Reference23 articles.
1. Souplet P: Uniform blow-up profiles and boundary for diffusion equations with nonlocal nonlinear source. J. Differ. Equ. 1999, 153: 374-406. 10.1006/jdeq.1998.3535
2. Weissler FB:An L ∞ blow-up estimate for a nonlinear heat equation. Commun. Pure Appl. Math. 1985, 38: 291-296. 10.1002/cpa.3160380303
3. Galaktionov VA: On asymptotic self-similar behavior for a quasilinear heat equation: single point blow-up. SIAM J. Math. Anal. 1995, 26: 675-693. 10.1137/S0036141093223419
4. Giga Y, Umeda N: Blow-up directions at space infinity for solutions of semilinear heat equations. Bol. Soc. Parana. Mat. 2005, 23: 9-28.
5. Deng WB, Li YX, Xie CH: Existence and nonexistence of global solutions of some nonlocal degenerate parabolic equations. Appl. Math. Lett. 2003, 16: 803-808. 10.1016/S0893-9659(03)80118-0
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