Nonlocal solvability of the Cauchy problem for second-order nonlinear parabolic equations

Yu. P. Gor'kov

Institute of Mathematics and Mechanics, Academy of Sciences of the USSR

Abstract: We prove the existence of smooth solutions of the Cauchy problem for some second-order nonlinear parabolic equations subject to natural smoothness conditions on the right side of the equation and on the initial function.

UDC: 517.9

Received: 10.04.1972

 English version: Mathematical Notes, 1974, 15:4, 342–345

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