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

Chan, C. Y.; Chen, C. S.

doi:10.1090/qam/1031683

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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[1] Andrew F. Acker and Bernhard Kawohl, Remarks on quenching, Nonlinear Anal. 13 (1989), no. 1, 53–61. MR 973368, https://doi.org/10.1016/0362-546X(89)90034-5
[2] Andrew Acker and Wolfgang Walter, On the global existence of solutions of parabolic differential equations with a singular nonlinear term, Nonlinear Anal. 2 (1978), no. 4, 499–504. MR 512487, https://doi.org/10.1016/0362-546X(78)90057-3
[3] C. Y. Chan and C. S. Chen, A numerical method for semilinear singular parabolic quenching problems, Quart. Appl. Math. 47 (1989), no. 1, 45–57. MR 987894, https://doi.org/10.1090/S0033-569X-1989-0987894-4
[4] C. Y. Chan and Hans G. Kaper, Quenching for semilinear singular parabolic problems, SIAM J. Math. Anal. 20 (1989), no. 3, 558–566. MR 990863, https://doi.org/10.1137/0520039
[5] Murray H. Protter and Hans F. Weinberger, Maximum principles in differential equations, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1967. MR 0219861
[6] H. L. Royden, Real analysis, 3rd ed., Macmillan Publishing Company, New York, 1988. MR 1013117
[7] Wolfgang Walter, Parabolic differential equations with a singular nonlinear term, Funkcial. Ekvac. 19 (1976), no. 3, 271–277. MR 0435596