Extended resolvent of heat operator with multisoliton potential

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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arXiv admin note: text overlap with arXiv:1201.0152

Scientific paper

The heat operator with a general multisoliton potential is considered and its
extended resolvent, depending on a parameter $q\in\R^2$ is derived. Its
boundedness properties in all variables and its discontinuities in the
parameter $q$ are given. As the result, the Green's functions are introduced
and their properties are studied in detail.

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