Asymptotic behavior at infinity of the stationary solution to a semilinear heat equation

[1]  G. M.,et al.  Partial Differential Equations I , 2023, Applied Mathematical Sciences.

[2]  I. M. Gel'fand,et al.  Some problems in the theory of quasilinear equations , 1987 .

[3]  D. Joseph,et al.  Quasilinear Dirichlet problems driven by positive sources , 1973 .

[4]  F. W. Warner,et al.  Curvature Functions for Compact 2-Manifolds , 1974 .

[5]  T. Cullen,et al.  Global existence of solutions for the relativistic Boltzmann equation on the flat Robertson-Walker space-time for arbitrarily large intial data , 2005, gr-qc/0507035.

[6]  Izrail Moiseevich Gelfand.  Some problems in the theory of quasilinear equations , 1987 .

[7]  D. Eberly,et al.  Existence of logarithmic-type solutions to the Kapila-Kassoy problem in dimensions 3 through 9 , 1987 .

[8]  D. Eberly.  Nonexistence for the Kassoy problem in dimensions 1 and 2 , 1988 .

[9]  C. Budd,et al.  The existence of bounded solutions of a semilinear elliptic equation , 1989 .

[10]  Jerrold Bebernes,et al.  Mathematical Problems from Combustion Theory , 1989 .

[11]  Andrew Alfred Lacey,et al.  Global, Unbounded Solutions to a Parabolic Equation , 1993 .

[12]  M. A. Herrero,et al.  Blow-up of solutions of supercritical semilinear parabolic equations , 1994 .

[13]  M. Herrero,et al.  Explosion de solutions d'équations paraboliques semilinéaires supercritiques , 1994 .

[14]  A. P. Mikhailov,et al.  Blow-Up in Quasilinear Parabolic Equations , 1995 .

[15]  J. Vázquez,et al.  On the stability or instability of the singular solution of the semilinear heat equation with exponential reaction term , 1995 .

[16]  Stathis Filippas,et al.  Fast blow-up mechanisms for sign-changing solutions of a semilinear parabolic equation with critical nonlinearity , 2000, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[17]  Mingxin Wang.  Blowup Estimates for a Semilinear Reaction Diffusion System , 2001 .

[18]  Victor A. Galaktionov,et al.  The problem of blow-up in nonlinear parabolic equations , 2002 .

[19]  Yang Hui-sheng.  Blow-up Estimates for a Semilinear Reaction-diffusion System , 2002 .

[20]  N. Mizoguchi.  Type-II blowup for a semilinear heat equation , 2004, Advances in Differential Equations.

[21]  F. Merle,et al.  On Nonexistence of type II blowup for a supercritical nonlinear heat equation , 2004 .

[22]  N. Mizoguchi.  Blowup behavior of solutions for a semilinear heat equation with supercritical nonlinearity , 2004 .

[23]  N. Mizoguchi.  Boundedness of global solutions for a supercritical semilinear heat equation and its application , 2005 .

[24]  Chunlai Mu,et al.  Global existence and non-existence for a quasilinear degenerate parabolic system with non-local source , 2005 .

[25]  M. Fila.  Chapter 2 - Blow-up of Solutions of Supercritical Parabolic Equations , 2005 .

[26]  Z. Yao,et al.  Localization of blow-up points for a nonlinear nonlocal porous medium equation , 2006 .

[27]  Sining Zheng,et al.  Non-simultaneous blow-up for a multi-coupled reaction-diffusion system , 2006 .

[28]  H. Matano.  Blow-up in Nonlinear Heat Equations with Supercritical Power Nonlinearity , 2007 .

[29]  Lili Du,et al.  Blow-up for a degenerate reaction-diffusion system with nonlinear nonlocal sources , 2007 .

[30]  F. Merle,et al.  Classification of type I and type II behaviors for a supercritical nonlinear heat equation , 2009 .