Extended resolvent of heat operator with multisoliton potential
Exactly Solvable and Integrable Systems
2015-06-04 v1
Abstract
The heat operator with a general multisoliton potential is considered and its extended resolvent, depending on a parameter is derived. Its boundedness properties in all variables and its discontinuities in the parameter are given. As the result, the Green's functions are introduced and their properties are studied in detail.
Cite
@article{arxiv.1203.4665,
title = {Extended resolvent of heat operator with multisoliton potential},
author = {M. Boiti and F. Pempinelli and A. K. Pogrebkov},
journal= {arXiv preprint arXiv:1203.4665},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1201.0152