Nonharmonic analysis of boundary value problems
Analysis of PDEs
2016-10-10 v2 Functional Analysis
Abstract
In this paper we develop the global symbolic calculus of pseudo-differential operators generated by a boundary value problem for a given (not necessarily self-adjoint or elliptic) differential operator. For this, we also establish elements of a non-self-adjoint distribution theory and the corresponding biorthogonal Fourier analysis. We give applications of the developed analysis to obtain a-priori estimates for solutions of operators that are elliptic within the constructed calculus.
Keywords
Cite
@article{arxiv.1504.00777,
title = {Nonharmonic analysis of boundary value problems},
author = {Michael Ruzhansky and Niyaz Tokmagambetov},
journal= {arXiv preprint arXiv:1504.00777},
year = {2016}
}
Comments
54 pages, updated version, to appear in IMRN