Wave fronts in reaction-diffusion equations and upper-lower solutions method

A new approach based on upper and lower solutions has been employed in [Dyn. Syst. Appl.12, 2003, 333-354] to unify and generalized existing results for wave fronts in reaction-diffusion equations arising in combustion and genetic models. The statements of the problem and the main results are here explained, and relations with existing results are analyzed. Some open problems and directions for future research are also indicated

Country

Italy

Related Organizations

University of Florence
Italy

Keywords

upper and lower solutions; reaction-diffusion equations; wave fronts

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