[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2003.40.2.289

A SIMPLE NASH-MOSER IMPLICIT FUNCTION THEOREM IN WEIGHTED BANACH SPACES

Cho, Sanghyun (Department of Mathematics, Sogang University)
Park, Jaeseo (Department of Mathematics, Sogang University)

Publication Information

Bulletin of the Korean Mathematical Society / v.40, no.2, 2003 , pp. 289-300 More about this Journal

Abstract

We prove a simplified version of the Nash-Moser implicit function theorem in weighted Banach spaces. We relax the conditions so that the linearized equation has an approximate inverse in different weighted Banach spaces in each recurrence step.

Keywords

Nash-Moser; Banach spaces; Sobolev spaces;

Citations & Related Records

Reference

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