Reder, Christine Familles de convexes invariantes et équations de diffusion-reaction. (French) Zbl 0465.35009 Ann. Inst. Fourier 32, No. 1, 71-103 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 1 Document MSC: 35B40 Asymptotic behavior of solutions to PDEs 35Q99 Partial differential equations of mathematical physics and other areas of application 35G10 Initial value problems for linear higher-order PDEs 35K25 Higher-order parabolic equations 35K99 Parabolic equations and parabolic systems Keywords:reaction diffusion system; invariant set; convexity PDFBibTeX XMLCite \textit{C. Reder}, Ann. Inst. Fourier 32, No. 1, 71--103 (1982; Zbl 0465.35009) Full Text: DOI Numdam EuDML References: [1] [1] , , , Positively invariant regions for systems of non linear diffusion equations, Indiana Univ. Math. Journal, Vol. 26, n° 2 (1977). · Zbl 0368.35040 [2] [2] , , , Large time behaviour of solutions of systems of non linear reaction-diffusion equations, SIAM J. Appl. Math., Vol. 35, n° 1 (Juillet 1978). · Zbl 0383.35035 [3] [3] , , A comparison technique for systems of reaction-diffusion equations, Comm. in partial diff. equ., vol. 2, n° 7 (1977). · Zbl 0386.35003 [4] [4] , , , Linear and quasi linear equations of parabolic type, Ann. Math. Soc. Providence, Rhode Island, Vol. 23 (1968). · Zbl 0174.15403 [5] [5] , Comparison results for reaction-diffusion equations in Banach space, Technical report, University of Texas Arlington, n° 94 (Sept. 1978). · Zbl 0433.35035 [6] [12] , Embedding strictly pseudoconvex domains in convex domains, Amer. J. Math., 98 (1976 · Zbl 0334.32020 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.