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Spatial asymptotics of Green's function for elliptic operators and applications: a.c. spectral type, wave operators for wave equations
- Publication Year :
- 2017
-
Abstract
- In three-dimensional case, we consider two classical operators: Schrodinger operator and an operator in the divergence form. For slowly-decaying oscillating potentials, we establish spatial asymptotics of the Green's function. The main term in this asymptotics involves vector-valued analytic function whose behavior is studied away from the spectrum. The absolute continuity of the spectrum is established as a corollary. For the operator in the divergence form, we consider the wave equation and establish existence of wave operators.<br />Comment: Introduction is rewritten, more detail is given
- Subjects :
- Mathematics - Analysis of PDEs
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1707.00430
- Document Type :
- Working Paper