Universal estimate of the gradient for parabolic equations

We suggest a modification of the estimate for weighted Sobolev norms of solutions of parabolic equations such that the matrix of the higher order coefficients is included into the weight for the gradient. More precisely, we found the upper limit estimate that can be achieved by variations of the zer...

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Bibliographic Details
Main Author: Dokuchaev, Nikolai
Format: Journal Article
Published: IOP Publishing 2008
Online Access:http://hdl.handle.net/20.500.11937/16598