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Familles de convexes invariantes et équations de diffusion-reaction. (French) Zbl 0465.35009


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
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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
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