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Solvability of a coupled system of parabolic and ordinary differential equations. (English) Zbl 1201.35107
Summary: A model of coupled parabolic and ordinary differential equations for a heterogeneous catalytic reaction is considered and the existence and uniqueness theorem of the classic solution is proved.

MSC:
35K20 Initial-boundary value problems for second-order parabolic equations
35B09 Positive solutions to PDEs
92E20 Classical flows, reactions, etc. in chemistry
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