Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613968 | Journal of Mathematical Analysis and Applications | 2016 | 22 Pages |
Abstract
We study a class of semilinear elliptic equations on spaces of tempered ultradistributions of Beurling and Roumieu type. Assuming that the linear part of the equation is a pseudodifferential operator of infinite order satisfying a suitable ellipticity condition we prove a regularity result in the functional setting above for weak Sobolev type solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Marco Cappiello, Stevan Pilipović, Bojan Prangoski,