TY - JOUR AU - Levine, H. A. PY - 1990 DA - 1990// TI - The role of critical exponents in blow-up theorems JO - SIAM Rev. VL - 32 UR - https://doi.org/10.1137/1032046 DO - 10.1137/1032046 ID - Levine1990 ER - TY - JOUR AU - Bandle, C. AU - Brunner, H. PY - 1998 DA - 1998// TI - Blow-up in diffusion equations: a survey JO - J. Comput. Appl. Math. VL - 97 UR - https://doi.org/10.1016/S0377-0427(98)00100-9 DO - 10.1016/S0377-0427(98)00100-9 ID - Bandle1998 ER - TY - JOUR AU - Deng, K. AU - Levine, H. A. PY - 2000 DA - 2000// TI - The role of critical exponents in blow-up theorems: the sequel JO - J. Math. Anal. Appl. VL - 243 UR - https://doi.org/10.1006/jmaa.1999.6663 DO - 10.1006/jmaa.1999.6663 ID - Deng2000 ER - TY - JOUR AU - Galaktionov, V. A. AU - Vázquez, J. L. PY - 2002 DA - 2002// TI - The problem of blow-up in nonlinear parabolic equations JO - Discrete Contin. Dyn. Syst. VL - 8 UR - https://doi.org/10.3934/dcds.2002.8.399 DO - 10.3934/dcds.2002.8.399 ID - Galaktionov2002 ER - TY - CHAP AU - Quittner, P. AU - Souplet, P. PY - 2007 DA - 2007// TI - Superlinear parabolic problems BT - Blow-up, Global Existence and Steady States PB - Birkhäuser CY - Basel ID - Quittner2007 ER - TY - JOUR AU - Zhang, H. L. PY - 2008 DA - 2008// TI - Blow-up solutions and global solutions for nonlinear parabolic problems JO - Nonlinear Anal. TMA VL - 69 UR - https://doi.org/10.1016/j.na.2007.11.013 DO - 10.1016/j.na.2007.11.013 ID - Zhang2008 ER - TY - JOUR AU - Zhang, L. L. AU - Zhang, N. AU - Li, L. X. PY - 2014 DA - 2014// TI - Blow-up solutions and global existence for a kind of quasilinear reaction-diffusion equations JO - Z. Anal. Anwend. VL - 33 UR - https://doi.org/10.4171/ZAA/1509 DO - 10.4171/ZAA/1509 ID - Zhang2014 ER - TY - JOUR AU - Payne, L. E. AU - Philippin, G. A. AU - Vernier-Piro, S. PY - 2006 DA - 2006// TI - Blow-up, decay bounds and continuous dependence inequalities for a class of quasilinear parabolic problems JO - Math. Methods Appl. Sci. VL - 29 UR - https://doi.org/10.1002/mma.678 DO - 10.1002/mma.678 ID - Payne2006 ER - TY - JOUR AU - Payne, L. E. AU - Philippin, G. A. PY - 2004 DA - 2004// TI - Decay bounds for solutions of second order parabolic problems and their derivatives II JO - Math. Inequal. Appl. VL - 7 ID - Payne2004 ER - TY - JOUR AU - Payne, L. E. AU - Philippin, G. A. PY - 2004 DA - 2004// TI - Decay bounds for solutions of second order parabolic problems and their derivatives III JO - Z. Anal. Anwend. VL - 23 UR - https://doi.org/10.4171/ZAA/1224 DO - 10.4171/ZAA/1224 ID - Payne2004 ER - TY - JOUR AU - Payne, L. E. AU - Philippin, G. A. AU - Vernier-Piro, S. PY - 2006 DA - 2006// TI - Decay bounds for solutions of second order parabolic problems and their derivatives IV JO - Appl. Anal. VL - 85 UR - https://doi.org/10.1080/00036810500276530 DO - 10.1080/00036810500276530 ID - Payne2006 ER - TY - JOUR AU - Philippin, G. A. AU - Vernier-Piro, S. PY - 1999 DA - 1999// TI - Explicit exponential decay bounds in quasilinear parabolic problems JO - J. Inequal. Appl. VL - 3 ID - Philippin1999 ER - TY - JOUR AU - Philippin, G. A. AU - Vernier-Piro, S. PY - 1999 DA - 1999// TI - Explicit decay bounds in some quasilinear one-dimensional parabolic problems JO - Math. Methods Appl. Sci. VL - 22 UR - https://doi.org/3.0.CO;2-F DO - 3.0.CO;2-F ID - Philippin1999 ER - TY - JOUR AU - Philippin, G. A. AU - Vernier-Piro, S. PY - 2001 DA - 2001// TI - Decay estimates for solutions of a class of parabolic problems arising in filtration through porous media JO - Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) VL - 4 ID - Philippin2001 ER - TY - BOOK AU - Protter, M. H. AU - Weinberger, H. F. PY - 1967 DA - 1967// TI - Maximum Principles in Differential Equations PB - Prentice-Hall CY - Englewood Cliffs ID - Protter1967 ER - TY - JOUR AU - Payne, L. E. AU - Philippin, G. A. PY - 1995 DA - 1995// TI - Decay bounds for solutions of second order parabolic problems and their derivatives JO - Math. Models Methods Appl. Sci. VL - 5 UR - https://doi.org/10.1142/S0218202595000061 DO - 10.1142/S0218202595000061 ID - Payne1995 ER - TY - JOUR AU - Enache, C. PY - 2008 DA - 2008// TI - Blow-up, global existence and exponential decay estimates for a class of quasilinear parabolic problems JO - Nonlinear Anal. TMA VL - 69 UR - https://doi.org/10.1016/j.na.2007.08.063 DO - 10.1016/j.na.2007.08.063 ID - Enache2008 ER - TY - JOUR AU - Chen, S. H. PY - 2013 DA - 2013// TI - Global existence and blowup for quasilinear parabolic equations not in divergence form JO - J. Math. Anal. Appl. VL - 401 UR - https://doi.org/10.1016/j.jmaa.2012.12.028 DO - 10.1016/j.jmaa.2012.12.028 ID - Chen2013 ER - TY - JOUR AU - Chen, S. H. AU - Yu, D. M. PY - 2007 DA - 2007// TI - Global existence and blowup solutions for quasilinear parabolic equations JO - J. Math. Anal. Appl. VL - 335 UR - https://doi.org/10.1016/j.jmaa.2007.01.066 DO - 10.1016/j.jmaa.2007.01.066 ID - Chen2007 ER - TY - JOUR AU - Ding, J. T. PY - 2003 DA - 2003// TI - Blow-up solutions for a class of nonlinear parabolic equations with Dirichlet boundary conditions JO - Nonlinear Anal. TMA VL - 52 UR - https://doi.org/10.1016/S0362-546X(02)00277-8 DO - 10.1016/S0362-546X(02)00277-8 ID - Ding2003 ER - TY - JOUR AU - Payne, L. E. AU - Schaefer, P. W. PY - 2007 DA - 2007// TI - Lower bounds for blow-up time in parabolic problems under Dirichlet conditions JO - J. Math. Anal. Appl. VL - 328 UR - https://doi.org/10.1016/j.jmaa.2006.06.015 DO - 10.1016/j.jmaa.2006.06.015 ID - Payne2007 ER - TY - JOUR AU - Wang, H. AU - He, Y. J. PY - 2013 DA - 2013// TI - On blow-up of solutions for a semilinear parabolic equation involving variable source and positive initial energy JO - Appl. Math. Lett. VL - 26 UR - https://doi.org/10.1016/j.aml.2013.05.001 DO - 10.1016/j.aml.2013.05.001 ID - Wang2013 ER - TY - JOUR AU - Payne, L. E. AU - Song, J. C. PY - 2009 DA - 2009// TI - Lower bounds for blow-up time in a nonlinear parabolic problem JO - J. Math. Anal. Appl. VL - 354 UR - https://doi.org/10.1016/j.jmaa.2009.01.010 DO - 10.1016/j.jmaa.2009.01.010 ID - Payne2009 ER - TY - JOUR AU - Xu, R. Z. AU - Cao, X. Y. AU - Yu, T. PY - 2012 DA - 2012// TI - Finite time blow-up and global solutions for a class of semilinear parabolic equations at high energy level JO - Nonlinear Anal., Real World Appl. VL - 13 UR - https://doi.org/10.1016/j.nonrwa.2011.07.025 DO - 10.1016/j.nonrwa.2011.07.025 ID - Xu2012 ER -