Green's function of heat operator with pure soliton potential
Exactly Solvable and Integrable Systems
2012-01-04 v1
Abstract
The heat operator with a pure soliton potential is considered and its Green's function, depending on a complex spectral parameter k, is derived. Its boundedness properties in all variables and its singularities in the spectral parameter k are studied. A generalization of the Green's function, the extended resolvent, is also given.
Keywords
Cite
@article{arxiv.1201.0152,
title = {Green's function of heat operator with pure soliton potential},
author = {M. Boiti and F. Pempinelli and A. K. Pogrebkov},
journal= {arXiv preprint arXiv:1201.0152},
year = {2012}
}