Green's function of heat operator with pure soliton potential

Autor:	Boiti, M., Pempinelli, F., Pogrebkov, A. K.
Rok vydání:	2011
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems 37K10 37K15 35C08 37K40
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1201.0152 Zobrazit plný text záznamu View this record from Arxiv