HEAT, RESOLVENT AND WAVE KERNELS WITH
BI-INVERSE SQUARE POTENTIAL ON
THE EUCLIDIAN PLANE
Mohamed Vall Ould Moustapha
Université des Sciences, de Technologie et de la Médecine (USTM)
Faculté des Sciences et Techniques
Département de Mathématiques et Informatique
Unité de Recherche: Analyse, EDP et Modélisation (AEDPM)
B.P: 5026, Nouakchott - MAURITANIE
Abstract. We give explicit formulas for the heat, resolvent and wave kernels associated to the Schrödinger operator with bi-inverse square potential on the Euclidian plane R2.
AMS Subject classification: 35JO5, 35JO8, 35K08
Keywords and phrases: heat kernel, wave kernel, resolvent kernel, bi-inverse square potential, Bessel function, Appell hypergeometric function


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DOI: 10.12732/ijam.v27i2.2

Volume: 27
Issue: 2
Year: 2014