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Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 2
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Original Articles

Growth estimates and blow-up in quasilinear parabolic problems

Hailiang Zhang Department of Mathematics, Shanghai University, Shanghai 200444, People's Republic of ChinaCorrespondence[email protected]
,
Zengrong Liu Department of Mathematics, Shanghai University, Shanghai 200444, People's Republic of China
&
Wu Zhang School of Computer Science and Engineering, Shanghai University, Shanghai 200072, People's Republic of China
Pages 261-268 | Received 11 May 2006, Published online: 22 Feb 2007

References

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  • Levine , HA . 1990 . The role of critical exponents in blow-up theorems . SIAM Reviews , 32 : 262 – 288 .
  • Keng Deng and Levine , HA . 2000 . The role of critical exponents in blow-up theorems: The Sequel . Journal of Mathematical Analysis and Applications , 243 : 85 – 126 .
  • Mochizuki , K and Suzuki , R . 1997 . Critical exponents and critical blow up for quasi-linear parabolic equations . Israel Journal of Mathematics , 98 : 141 – 156 .
  • Qi , YW . 1991 . The asymptotics of blow-up solutions a degenerate parabolic equations . Journal of Applied Mathematical Physics (ZAMP) , 42 : 488 – 496 .
  • Friedman , A and McLeod , JB . 1985 . Blow-up of positive solutions of semi-linear heat equations . Indiana Mathematical Journal , 34 : 425 – 447 .
  • Hailiang , Zhang and Minqi , Yu . 1997 . On blow-up of solutions for a class of nonlinear reaction diffusion equations . Chinese Journal of Mathematics , 17 : 482 – 486 .
  • Friedman , A . 1964 . Partial Differential Equations of Parabolic Type , New York : Prentice-Hall .
  • Sperb , RP . 1980 . Maximum Principles and their Applications , New York : Academic Press .

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