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arXiv:1208.4373 [math.AP]AbstractReferencesReviewsResources

On the existence of smooth solutions for fully nonlinear parabolic equations with measurable "coefficients" without convexity assumptions

Hongjie Dong, Nicolai V. Krylov

Published 2012-08-21Version 1

We show that for any uniformly parabolic fully nonlinear second-order equation with bounded measurable "coefficients" and bounded "free" term in any cylindrical smooth domain with smooth boundary data one can find an approximating equation which has a unique continuous solution with the first derivatives bounded and the second spacial derivatives locally bounded. The approximating equation is constructed in such a way that it modifies the original one only for large values of the unknown function and its spacial derivatives.

Comments: 29 pages, submitted. arXiv admin note: substantial text overlap with arXiv:1203.1298
Categories: math.AP
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