Посилання:Attractors of reaction-diffusion equations with nonmonotone nonlinearity / J. Valero // Нелинейные граничные задачи: сб. науч. тр. — 2000. — Т. 10. — С. 199-203. — Бібліогр.: 7 назв. — англ.
Підтримка:I would like to thank Professor V.S. Melnik for his valuable help and support in this work.
This work has been supported by PB-2-FS-97 grant (Fundacion Seneca (Comunidad Autonoma de Murcia)).
In this paper we study the existence of global compact attractors for nonlinear parabolic equations of reaction-diffusion type. The studied equations are generated by a difference of subdifferential maps and are not assumed to have a unique solution for each initial state. Applications are given to inclusions modelling combustion in porous media and processes of transmission of electrical impulses in nerve axons.