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
Wave fronts in reaction-diffusion equations and upper-lower solutions method / L. Malaguti; C. Marcelli; S. Matucci. - In: Folia Facultatis Scientiarium Naturalium Universitatis Masarykianae Brunensis. Mathematica. - STAMPA. - 13:(2003), pp. 169-175. (Intervento presentato al convegno CDDE 2002 tenutosi a Brno (Rep. Ceca) nel settembre 2002).
Wave fronts in reaction-diffusion equations and upper-lower solutions method
MATUCCI, SERENA
2003
Abstract
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
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