Abstract
We consider the heat operator with a general multisoliton potential and derive its extended resolvent depending on a parameter q ∈ ℝ2. 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.
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Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 172, No. 2, pp. 181–197, August, 2012.
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Boiti, M., Pempinelli, F. & Pogrebkov, A.K. Extended resolvent of the heat operator with a multisoliton potential. Theor Math Phys 172, 1037–1051 (2012). https://doi.org/10.1007/s11232-012-0094-6
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DOI: https://doi.org/10.1007/s11232-012-0094-6