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Publication Cover
Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 10
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Original Articles

Lower bounds for blow-up time in parabolic problems under Neumann conditions

L. E. Payne Department of Mathematics, Cornell University, Ithaca, NY 14853, USA
&
P. W. Schaefer Department of Mathematics, University of Tennessee, Knoxville, TN 37916, USACorrespondence[email protected]
Pages 1301-1311 | Accepted 09 Jun 2006, Published online: 17 Feb 2007

References

  • Payne , LE and Schaefer , PW . 2006 . Lower bounds for blow-up time in parabolic problems under Dirichlet conditions . Journal of Mathematical Analysis and Applications , (In press)
  • Levine , HA . 1975 . Nonexistence of global weak solutions to some properly and improperly posed problems of mathematical physics: the method of unbounded Fourier coefficients. . Mathematische Annalen , 214 : 205 – 220 .
  • Payne , LE . 1975 . Improperly posed problems in partial differential equations . Proceedings of Regional Conference Series on Applied Mathematics . 1975 . Philadelphia : SIAM .
  • Straughan , B . 1998 . Explosive Instabilities in Mechanics , Berlin : Springer .
  • Ball , JM . 1977 . Remarks on blowup and nonexistence theorems for nonlinear evolution equations. . Quarterly Journal of Mathematics , 28 : 473 – 486 .
  • Kielhöfer , H . 1975 . Existenz und regularität von lösungen semilinearer parabolischer anfangs-randwertprobleme. . Mathematische Zeitschrift , 142 : 131 – 160 .
  • Friedman , A . 1958 . Remarks on the maximum principle for parabolic equations and its applications. . Pacific Journal of Mathematics , 8 : 201 – 211 .
  • Nirenberg , L . 1953 . A strong maximum principle for parabolic equations. . Communications on Pure and Applied Mathematics , 6 : 167 – 177 .

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