Interpretation of the Omori law

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Abstract
The well-known Omori law is represented in the form of the differential equation describing the evolution of the aftershock activity. The interpretation of the evolution equation is suggested. It is based on the idea of deactivation of the faults in the vicinity of the main shock of the earthquake. The generalization of the Omori law with the allowance for the nonstationarity of the medium in the source, which is cooling after the main shock, is presented.