Nash-Moser techniques for nonlinear boundary-value problems

A new linearization method is introduced for smooth short-time solvability of initial boundary value problems for nonlinear evolution equations. The technique based on an inverse function theorem of Nash-Moser type is illustrated by an application in the parabolic case. The equation and the boundary...

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Bibliographic Details
Main Author: Markus Poppenberg
Format: Article
Language:English
Published: Texas State University 2003-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2003/54/abstr.html