Critical global asymptotics in higher-order semilinear parabolicequations
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[1] G. M.,et al. Partial Differential Equations I , 2023, Applied Mathematical Sciences.
[2] Antti Kupiainen,et al. Renormalization Group and Asymptotics of Solutions of Nonlinear Parabolic Equations , 1993, chao-dyn/9306008.
[3] J. Bricmont,et al. Stable nongaussian diffusive profiles , 1996 .
[4] Victor A. Galaktionov,et al. Asymptotic behaviour of nonlinear parabolic equations with critical exponents. A dynamical systems approach , 1991 .
[5] Victor A. Galaktionov,et al. On a spectrum of blow–up patterns for a higher–order semilinear parabolic equation , 2001, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[6] M. Kreĭn,et al. Stability of Solutions of Differential Equations in Banach Spaces , 1974 .
[7] A. Lunardi. Analytic Semigroups and Optimal Regularity in Parabolic Problems , 2003 .
[8] J. Bricmont,et al. Stable Non-Gaussian Diffusive Profiles , 1993 .
[9] I. Gohberg,et al. Classes of Linear Operators , 1990 .
[10] J. F. Williams,et al. On very singular similarity solutions of a higher-order semilinear parabolic equationResearch suppor , 2004 .
[11] M. Ughi,et al. On the behaviour as t → ∞ of the solutions of the Cauchy problem for certain nonlinear parabolic equations , 1987 .
[12] A. P. Mikhailov,et al. Blow-Up in Quasilinear Parabolic Equations , 1995 .
[13] P. J. Harwin,et al. Spectra of critical exponents in nonlinear heat equations with absorption , 2004, Advances in Differential Equations.
[14] Victor A. Galaktionov,et al. Regional blow-up for a higher-order semilinear parabolic equation , 2001, European Journal of Applied Mathematics.
[15] V. Galaktionov,et al. ON ASYMPTOTIC “EIGENFUNCTIONS” OF THE CAUCHY PROBLEM FOR A NONLINEAR PARABOLIC EQUATION , 1986 .
[16] Howard A. Levine,et al. A general approach to critical Fujita exponents in nonlinear parabolic problems , 1998 .
[17] Francisco Bernis,et al. A very singular solution for the dual porous medium equation and the asymptotic behaviour of general solutions. , 1993 .
[18] M. Solomjak,et al. Spectral theory of selfadjoint operators in Hilbert space , 1987 .
[19] 乔花玲,et al. 关于Semigroups of Linear Operators and Applications to Partial Differential Equations的两个注解 , 2003 .
[20] Victor A. Galaktionov,et al. Global solutions of higher-order semilinear parabolic equations in the supercritical range , 2002, Advances in Differential Equations.
[21] S. Cui. Local and global existence of solutions to semilinear parabolic initial value problems , 2001 .
[22] Victor A. Galaktionov,et al. Existence and blow-up for higher-order semilinear parabolic equations: Majorizing order-preserving operators , 2002 .
[23] L. Véron,et al. Large time behaviour of the solutions of a semilinear parabolic equation in RN , 1984 .
[24] L. Peletier,et al. A very singular solution of the heat equation with absorption , 1986 .
[25] Victor A. Galaktionov,et al. On the necessary conditions of global existence to a quasilinear inequality in the half-space , 2000 .
[26] L. Peletier,et al. Spatial Patterns: Higher Order Models in Physics and Mechanics , 2001 .
[27] L. Véron,et al. Existence and uniqueness of the very singular solution of the porous media equation with absorption , 1988 .