Abstract
We consider an elliptic pseudo-differential equation in a multidimensional cone in Sobolev–Slobodetskii space and describe its general solution for some cases. This description is based on some distributions supported on a conical surface. For certain conical surfaces we describe such distributions. It permits to use such distributions to refine a general solution.
COMMUNICATED BY:
AMS SUBJECT CLASSIFICATIONS:
Acknowledgments
The author is very grateful to referees for their timely and helpful comments.
Disclosure statement
No potential conflict of interest was reported by the author.
ORCID
V. B. Vasilyev http://orcid.org/0000-0001-9351-8084