A SHORT PROOF OF INCREASED PARABOLIC REGULARITY

A short proof of increased parabolic regularity

We present a short proof of the increased regularity obtained by solutions to uniformly parabolic partial differential equations.Though this setting is fairly introductory, our new method of Novelties proof, which uses a priori estimates and an inductive method, can be extended to prove analogous results for problems with time-dependent coefficient

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Military Service of the Cossacks in the Security System of the South of Russia (On the Example of Rostov Region)

Introduction.Modern Russian Cossacks, having undergone the process of revival and institutionalization, are now incorporated into the system of state and other services of the Russian Federation.Given the pre-revolutionary status of the Cossacks as a military class of the Russian Empire, Ministry of Defense of the Russian Federation, beginning from

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