TY - JOUR AU - Friedman, A. AU - Giga, Y. PY - 1987 DA - 1987// TI - A single point blow-up for solutions of semilinear parabolic systems JO - J. Fac. Sci., Univ. Tokyo, Sect. 1A, Math. VL - 34 ID - Friedman1987 ER - TY - JOUR AU - Fujita, H. PY - 1966 DA - 1966// TI - On the blowing up of solutions of the Cauchy problem for ut=Δu+u1+α$u_{t}=\Delta u+u^{1+\alpha }$ JO - J. Fac. Sci., Univ. Tokyo, Sect. 1A, Math. VL - 16 ID - Fujita1966 ER - TY - JOUR AU - Friedman, A. AU - Lacey, A. PY - 1987 DA - 1987// TI - The blow-up time of solutions of nonlinear heat equation with small diffusion JO - SIAM J. Math. Anal. VL - 18 UR - https://doi.org/10.1137/0518054 DO - 10.1137/0518054 ID - Friedman1987 ER - TY - JOUR AU - Gui, C. F. AU - Wang, X. F. PY - 1995 DA - 1995// TI - Life span of solutions of the Cauchy problem for a semilinear heat equation JO - J. Differ. Equ. VL - 115 UR - https://doi.org/10.1006/jdeq.1995.1010 DO - 10.1006/jdeq.1995.1010 ID - Gui1995 ER - TY - JOUR AU - Lee, T. Y. AU - Ni, W. PY - 1992 DA - 1992// TI - Global existence, large time behavior and life span of solutions of a semilinear parabolic Cauchy problem JO - Trans. Am. Math. Soc. VL - 333 UR - https://doi.org/10.1090/S0002-9947-1992-1057781-6 DO - 10.1090/S0002-9947-1992-1057781-6 ID - Lee1992 ER - TY - JOUR AU - Mizoguchi, N. AU - Yanagida, E. PY - 2001 DA - 2001// TI - Life span of solutions with large initial data in a semilinear parabolic equation JO - Indiana Univ. Math. J. VL - 50 UR - https://doi.org/10.1512/iumj.2001.50.1905 DO - 10.1512/iumj.2001.50.1905 ID - Mizoguchi2001 ER - TY - JOUR AU - Mizoguchi, N. AU - Yanagida, E. PY - 2001 DA - 2001// TI - Life span of solutions for a semilinear parabolic problem with small diffusion JO - J. Math. Anal. Appl. VL - 261 UR - https://doi.org/10.1006/jmaa.2001.7530 DO - 10.1006/jmaa.2001.7530 ID - Mizoguchi2001 ER - TY - JOUR AU - Sato, S. PY - 2008 DA - 2008// TI - Life span of solutions with large initial data for a superlinear heat equation JO - J. Math. Anal. Appl. VL - 343 UR - https://doi.org/10.1016/j.jmaa.2008.02.018 DO - 10.1016/j.jmaa.2008.02.018 ID - Sato2008 ER - TY - JOUR AU - Sato, S. PY - 2011 DA - 2011// TI - Life span of solutions with large initial data for a semilinear parabolic system JO - J. Math. Anal. Appl. VL - 380 UR - https://doi.org/10.1016/j.jmaa.2011.03.033 DO - 10.1016/j.jmaa.2011.03.033 ID - Sato2011 ER - TY - JOUR AU - Zhou, S. AU - Yang, Z. PY - 2015 DA - 2015// TI - Life span of solutions with large initial data for a semilinear parabolic system JO - J. Math. Res. Appl. VL - 35 ID - Zhou2015 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 - BOOK AU - Quittner, P. AU - Souplet, P. PY - 2007 DA - 2007// TI - Superlinear Parabolic Problems. Blow-up, Global Existence and Steady States PB - Birkhäuser CY - Basel ID - Quittner2007 ER - TY - JOUR AU - Xu, X. AU - Ye, Z. PY - 2013 DA - 2013// TI - Life span of solutions with large initial data for a class of coupled parabolic systems JO - Z. Angew. Math. Phys. VL - 64 UR - https://doi.org/10.1007/s00033-012-0255-3 DO - 10.1007/s00033-012-0255-3 ID - Xu2013 ER - TY - JOUR AU - Xu, R. AU - Lian, W. AU - Niu, Y. PY - 2019 DA - 2019// TI - Global well-posedness of coupled parabolic systems JO - Sci. China Math. UR - https://doi.org/10.1007/s11425-017-9280-x DO - 10.1007/s11425-017-9280-x ID - Xu2019 ER - TY - JOUR AU - Leng, Y. AU - Nie, Y. AU - Zhou, Q. PY - 2019 DA - 2019// TI - Asymptotic behavior of solutions to a class of coupled nonlinear parabolic systems JO - Bound. Value Probl. VL - 2019 UR - https://doi.org/10.1186/s13661-019-1181-5 DO - 10.1186/s13661-019-1181-5 ID - Leng2019 ER - TY - JOUR AU - Zheng, S. AU - Zhao, L. AU - Chen, F. PY - 2002 DA - 2002// TI - Blow-up rates in a parabolic system of ignition model JO - Nonlinear Anal. VL - 51 UR - https://doi.org/10.1016/S0362-546X(01)00849-5 DO - 10.1016/S0362-546X(01)00849-5 ID - Zheng2002 ER - TY - JOUR AU - He, Z. AU - Linghua, K. AU - Sining, Z. PY - 2009 DA - 2009// TI - Propagations of singularities in a parabolic system with coupling nonlocal sources JO - Sci. China Ser. A, Math. VL - 52 UR - https://doi.org/10.1007/s11425-008-0169-x DO - 10.1007/s11425-008-0169-x ID - He2009 ER - TY - JOUR AU - Huiling, L. AU - Mingxing, W. PY - 2004 DA - 2004// TI - Blow-up properties for parabolic systems with localized nonlinear sources JO - Appl. Math. Lett. VL - 17 UR - https://doi.org/10.1016/j.aml.2004.06.004 DO - 10.1016/j.aml.2004.06.004 ID - Huiling2004 ER - TY - JOUR AU - Liu, B. AU - Li, F. PY - 2008 DA - 2008// TI - Blow-up properties for heat equations coupled via different nonlinearities JO - J. Math. Anal. Appl. VL - 347 UR - https://doi.org/10.1016/j.jmaa.2008.06.004 DO - 10.1016/j.jmaa.2008.06.004 ID - Liu2008 ER - TY - JOUR AU - Kaplan, S. PY - 1963 DA - 1963// TI - On the growth of solutions of quasi-linear parabolic equations JO - Commun. Pure Appl. Math. VL - 16 UR - https://doi.org/10.1002/cpa.3160160307 DO - 10.1002/cpa.3160160307 ID - Kaplan1963 ER -