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A mathematical model of dissociative adsorption and associative desorption for diatomic molecules is generalized.The model is described by a coupled system of parabolic and ordinary differential equations. The existence and uniqueness theorem of the classical solution is proved. MSC:35K20, 35B09

A mathematical model of dissociative adsorption and associative desorption for diatomic molecules is considered. The model is described by a system of parabolic and ordinary differential equations. The existence and uniqueness theorem of the classical solution is proved.