We consider the heat operator with a general multisoliton potential and derive its extended resolvent depending on a parameter q \in R^2. We show that it is bounded in all variables and find its singularities in q. We introduce the Green's functions and study their properties in detail.
Extended Resolvent of the Heat Operator with a Multisoliton Potential
BOITI, Marco;PEMPINELLI, Flora;
2012-01-01
Abstract
We consider the heat operator with a general multisoliton potential and derive its extended resolvent depending on a parameter q \in R^2. We show that it is bounded in all variables and find its singularities in q. We introduce the Green's functions and study their properties in detail.File in questo prodotto:
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