Weighted in time energy estimates for parabolic equations with applications to non-linear and non-local problems

The paper suggests a modification of the contracting mapping method for non-linear and non-local parabolic equations. This modification is based on weighted in time energy estimates for the L2-norm of the solution of a parabolic equation via a weighted version of the H^-1-norm of the free term such...

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Bibliographic Details
Main Author: Dokuchaev, Nikolai
Format: Journal Article
Published: International Press 2012
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/7636