On a class of diffeomorphisms defined by integro-differential operators
Volume 101 / 2014
Banach Center Publications 101 (2014), 77-86
MSC: 57R50, 47G20, 45J05, 45K05.
DOI: 10.4064/bc101-0-5
Abstract
We study an integro-differential operator $\Phi:\bar{H}^{1}\rightarrow L^{2}$ of Fredholm type and give sufficient conditions for $\Phi$ to be a diffeomorphism. An application to functional equations is presented.
