Payne, L. E.; Philippin, G. A. Blow-up phenomena in parabolic problems with time dependent coefficients under Dirichlet boundary conditions. (English) Zbl 1277.35075 Proc. Am. Math. Soc. 141, No. 7, 2309-2318 (2013). Reviewer: Marek Fila (Bratislava) MSC: 35B44 35B30 35K20 35K58 PDFBibTeX XMLCite \textit{L. E. Payne} and \textit{G. A. Philippin}, Proc. Am. Math. Soc. 141, No. 7, 2309--2318 (2013; Zbl 1277.35075) Full Text: DOI
Payne, L. E.; Philippin, G. A. Blow-up in a class of non-linear parabolic problems with time-dependent coefficients under Robin type boundary conditions. (English) Zbl 1255.35059 Appl. Anal. 91, No. 12, 2245-2256 (2012). MSC: 35B44 35K55 35K20 35B30 35B40 PDFBibTeX XMLCite \textit{L. E. Payne} and \textit{G. A. Philippin}, Appl. Anal. 91, No. 12, 2245--2256 (2012; Zbl 1255.35059) Full Text: DOI
Payne, L. E.; Philippin, G. A.; Piro, S. Vernier Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition. II. (English) Zbl 1198.35131 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 4, 971-978 (2010). MSC: 35K61 35K58 35B44 PDFBibTeX XMLCite \textit{L. E. Payne} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 4, 971--978 (2010; Zbl 1198.35131) Full Text: DOI
Payne, L. E.; Philippin, G. A.; Schaefer, P. W. Bounds for blow-up time in nonlinear parabolic problems. (English) Zbl 1139.35055 J. Math. Anal. Appl. 338, No. 1, 438-447 (2008). Reviewer: Cristian Chifu (Cluj-Napoca) MSC: 35K55 35B40 35B05 PDFBibTeX XMLCite \textit{L. E. Payne} et al., J. Math. Anal. Appl. 338, No. 1, 438--447 (2008; Zbl 1139.35055) Full Text: DOI