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On the almost periodicity of solutions of a reaction diffusion system. (English) Zbl 0451.35035


MSC:

35K55 Nonlinear parabolic equations
35B15 Almost and pseudo-almost periodic solutions to PDEs
Full Text: DOI

References:

[1] Amerio, L.; Prouse, G.: Almost periodic functions and functional equations. (1971) · Zbl 0215.15701
[2] Auchmuty, J.F.G.: Qualitative effects of diffusion in chemical systems. Lectures on mathematics in the life sciences 10, 49-99 (1978) · Zbl 0411.76063
[3] Biroli, M.: Sur LES solutions borne\'{}es et presque pe\'{}riodiques dese\'{}quations et ine\'{}quations d’e\'{}volution. Ann. mat. 93, 1-79 (1972)
[4] Brauner, C.M.: Perturbations singulie‘res dans des syste‘mes non line\'{}aires et applicationsa‘la biochemie. The‘se (1975)
[5] Kahne, C.S.: On a system of nonlinear parabolic equations arising in chemical engineering. J. math. Anal. appl. 53, 343-358 (1976) · Zbl 0326.35044
[6] Kahne, C.S.: On the asymptotic behavior of solutions of a mildly nonlinear parabolic system. J. differential equations 32, 454-471 (1979) · Zbl 0401.35060
[7] Lions, J.L.: Quelques me\'{}thodes de re\'{}solution de proble‘mes aux limites non line\'{}aires. (1968)
[8] K. Naito, Reaction-diffusion systems with Dirichlet boundary conditions, to appear.
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