Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Critical lengths for global existence of solutions for coupled semilinear singular parabolic problems


Authors: C. Y. Chan and C. S. Chen
Journal: Quart. Appl. Math. 47 (1989), 661-671
MSC: Primary 35B30; Secondary 35K50
DOI: https://doi.org/10.1090/qam/1031683
MathSciNet review: MR1031683
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References [Enhancements On Off] (What's this?)

  • [1] A. Acker and B. Kawohl, Remarks on quenching, Nonlinear Anal. 13, 53-61 (1989) MR 973368
  • [2] A. Acker and W. Walter, On the global existence of solutions of parabolic differential equations with a singular nonlinear term, Nonlinear Anal. 2, 499-505 (1978) MR 512487
  • [3] C. Y. Chan and C. S. Chen, A numerical method for semilinear singular parabolic quenching problems, Quart. Appl. Math. 47, 45-57 (1989) MR 987894
  • [4] C. Y. Chan and H. G. Kaper, Quenching for semilinear singular parabolic problems, SIAM J. Math. Anal. 20, 558-566 (1989). MR 990863
  • [5] M. H. Protter and H. F. Weinberger, Maximum Principles in Differential Equations, Prentice Hall, Englewood Cliffs, 1967, pp. 173-175, and 190 MR 0219861
  • [6] H. L. Royden. Real Analysis, 2nd ed., Macmillan Publishing Co., New York, 1968, p. 84 MR 1013117
  • [7] W. Walter, Parabolic differential equations with a singular nonlinear term, Funkcial. Ekvac. 19, 271-277 (1976) MR 0435596

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DOI: https://doi.org/10.1090/qam/1031683
Article copyright: © Copyright 1989 American Mathematical Society

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