Green's function of heat operator with pure soliton potential

Details Green's function of heat operator with pure soliton potential Green's function of heat operator with pure soliton potential

2011-12-30

arxiv.org/abs/1201.0152v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

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.

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