TY - JOUR AU - Fujita, H. PY - 1966 DA - 1966// TI - On the blowing up of solutions of the Cauchy problem for ∂u∂t=Δu+u1+α$\frac{\partial u}{\partial t}=\Delta u+u^{1+\alpha}$ JO - J. Fac. Sci., Univ. Tokyo, Sect. 1A, Math. VL - 13 ID - Fujita1966 ER - TY - JOUR AU - Weissler, F. B. PY - 1981 DA - 1981// TI - Existence and non-existence of global solutions for semilinear equation JO - Isr. J. Math. VL - 6 UR - https://doi.org/10.1007/BF02761845 DO - 10.1007/BF02761845 ID - Weissler1981 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 - 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 - Cao, Y. AU - Yin, J. X. AU - Wang, C. P. PY - 2009 DA - 2009// TI - Cauchy problems of semilinear pseudo-parabolic equations JO - J. Differ. Equ. VL - 246 UR - https://doi.org/10.1016/j.jde.2009.03.021 DO - 10.1016/j.jde.2009.03.021 ID - Cao2009 ER - TY - JOUR AU - Guo, W. AU - Wang, X. AU - Zhou, M. PY - 2016 DA - 2016// TI - Asymptotic behavior of solutions to a class of semilinear parabolic equations JO - Bound. Value Probl. VL - 2016 UR - https://doi.org/10.1186/s13661-016-0578-7 DO - 10.1186/s13661-016-0578-7 ID - Guo2016 ER - TY - JOUR AU - Li, H. AU - Wang, X. AU - Nie, Y. AU - He, H. PY - 2015 DA - 2015// TI - Asymptotic behavior of solutions to a degenerate quasilinear parabolic equation with a gradient term JO - Electron. J. Differ. Equ. VL - 2015 UR - https://doi.org/10.1186/s13662-015-0627-z DO - 10.1186/s13662-015-0627-z ID - Li2015 ER - TY - JOUR AU - Martynenko, A. V. PY - 2016 DA - 2016// TI - Fujita-type theorems for doubly degenerate parabolic equations with a time-weighted source JO - Appl. Anal. VL - 95 UR - https://doi.org/10.1080/00036811.2015.1049947 DO - 10.1080/00036811.2015.1049947 ID - Martynenko2016 ER - TY - JOUR AU - Quirós, F. AU - Rossi, J. D. PY - 2001 DA - 2001// TI - Blow-up sets and Fujita type curves for a degenerate parabolic system with nonlinear boundary conditions JO - Indiana Univ. Math. J. VL - 50 UR - https://doi.org/10.1512/iumj.2001.50.1828 DO - 10.1512/iumj.2001.50.1828 ID - Quirós2001 ER - TY - JOUR AU - Wang, C. P. PY - 2013 DA - 2013// TI - Asymptotic behavior of solutions to a class of semilinear parabolic equations with boundary degeneracy JO - Proc. Am. Math. Soc. VL - 141 UR - https://doi.org/10.1090/S0002-9939-2013-11945-3 DO - 10.1090/S0002-9939-2013-11945-3 ID - Wang2013 ER - TY - JOUR AU - Wang, C. P. AU - Zheng, S. N. PY - 2006 DA - 2006// TI - Critical Fujita exponents of degenerate and singular parabolic equations JO - Proc. R. Soc. Edinb., Sect. A VL - 136 UR - https://doi.org/10.1017/S0308210500004637 DO - 10.1017/S0308210500004637 ID - Wang2006 ER - TY - JOUR AU - Wang, C. P. AU - Zheng, S. N. PY - 2013 DA - 2013// TI - Fujita-type theorems for a class of nonlinear diffusion equations JO - Differ. Integral Equ. VL - 26 ID - Wang2013 ER - TY - JOUR AU - Wang, C. P. AU - Zheng, S. N. AU - Wang, Z. J. PY - 2007 DA - 2007// TI - Critical Fujita exponents for a class of quasilinear equations with homogeneous Neumann boundary data JO - Nonlinearity VL - 20 UR - https://doi.org/10.1088/0951-7715/20/6/002 DO - 10.1088/0951-7715/20/6/002 ID - Wang2007 ER - TY - JOUR AU - Zheng, S. N. AU - Song, X. F. AU - Jiang, Z. X. PY - 2004 DA - 2004// TI - Critical Fujita exponents for degenerate parabolic equations coupled via nonlinear boundary flux JO - J. Math. Anal. Appl. VL - 298 UR - https://doi.org/10.1016/j.jmaa.2004.05.017 DO - 10.1016/j.jmaa.2004.05.017 ID - Zheng2004 ER - TY - JOUR AU - Zheng, S. N. AU - Wang, C. P. PY - 2008 DA - 2008// TI - Large time behavior of solutions to a class of quasilinear parabolic equations with convection terms JO - Nonlinearity VL - 21 UR - https://doi.org/10.1088/0951-7715/21/9/015 DO - 10.1088/0951-7715/21/9/015 ID - Zheng2008 ER - TY - JOUR AU - Galaktionov, V. A. PY - 1983 DA - 1983// TI - Conditions for nonexistence in the large and localization of solutions of the Cauchy problem for a class of nonlinear parabolic equations JO - Ž. Vyčisl. Mat. Mat. Fiz. VL - 23 ID - Galaktionov1983 ER - TY - JOUR AU - Galaktionov, V. A. PY - 1994 DA - 1994// TI - Blow-up for quasilinear heat equations with critical Fujita’s exponents JO - Proc. R. Soc. Edinb., Sect. A VL - 124 UR - https://doi.org/10.1017/S0308210500028766 DO - 10.1017/S0308210500028766 ID - Galaktionov1994 ER - TY - JOUR AU - Qi, Y. W. AU - Wang, M. X. PY - 2002 DA - 2002// TI - Critical exponents of quasilinear parabolic equations JO - J. Math. Anal. Appl. VL - 267 UR - https://doi.org/10.1006/jmaa.2001.7771 DO - 10.1006/jmaa.2001.7771 ID - Qi2002 ER - TY - JOUR AU - Qi, Y. W. PY - 1998 DA - 1998// TI - The critical exponents of parabolic equations and blow-up in Rn$R^{n}$ JO - Proc. R. Soc. Edinb., Sect. A VL - 128 UR - https://doi.org/10.1017/S0308210500027190 DO - 10.1017/S0308210500027190 ID - Qi1998 ER - TY - BOOK AU - Wu, Z. AU - Zhao, J. AU - Yin, J. AU - Li, H. PY - 2001 DA - 2001// TI - Nonlinear Diffusion Equations PB - World Scientific CY - River Edge UR - https://doi.org/10.1142/4782 DO - 10.1142/4782 ID - Wu2001 ER -