Extended resolvent of heat operator with multisoliton potential
classification
🌊 nlin.SI
keywords
extendedheatmultisolitonoperatorparameterpotentialpropertiesresolvent
read the original abstract
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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