References
- N. Alikakos, An application of the invariance principle to reaction-diffusion equations, J. Differential Equations 33 (1979), no. 2, 201-225. https://doi.org/10.1016/0022-0396(79)90088-3
- A. Barabanova, On the global existence of solutions of a reaction-diffusion equation with exponential nonlinearity, Proc. Amer. Math. Soc. 122 (1994), no. 3, 827-831. https://doi.org/10.1090/S0002-9939-1994-1207533-6
- G. Bourceanu and G. Morosanu, The study of the evolution of some self-organized chemical systems, J. Chemical Phys. 82 (1985), 3685-3691. https://doi.org/10.1063/1.448904
- H. Brezis, On a characterization of flow-invariant sets, Comm. Pure Appl. Math. 23 (1970), 261-263. https://doi.org/10.1002/cpa.3160230211
- T. Cazenave and A. Haraux, An Introduction to Semilinear Evolution Equations, Oxford Lecture Series in Mathematics and its Applications, 13. The Clarendon Press, Oxford University Press, New York, 1998.
-
A. Haraux and M. Kirane, Estimations
$C^1$ pour des problemes paraboliques semi-lin'eaires, (French. English summary) [C1 estimates for semilinear parabolic problems] Ann. Fac. Sci. Toulouse Math. 5 (1983), no. 3-4, 265-280. https://doi.org/10.5802/afst.598 - A. Haraux and A. Youkana, On a result of K. Masuda concerning reaction-diffusion equations, Tohoku Math. J. 2 40 (1988), no. 1, 159-163. https://doi.org/10.2748/tmj/1178228084
- S. Hollis, R. H. Martin, Jr., and M. Pierre, Global existence and boundedness in reaction-diffusion systems, SIAM J. Math. Anal. 18 (1987), no. 3, 744-761. https://doi.org/10.1137/0518057
- R. H. Martin, Jr., Differential equations on closed subsets of a Banach space, Trans. Amer. Math. Soc. 179 (1973), 399-414. https://doi.org/10.1090/S0002-9947-1973-0318991-4
- K. Masuda, On the global existence and asymptotic behavior of solutions of reaction-diffusion equations, Hokkaido Math. J. 12 (1983), no. 3, 360-370. https://doi.org/10.14492/hokmj/1470081012
- N. Pavel, Invariant sets for a class of semi-linear equations of evolution, Nonlinear Anal. 1 (1976/77), no. 2, 187-196. https://doi.org/10.1016/0362-546X(77)90009-8