Karol Szczypkowski (Politechnika Wroclawska)

Title: Towards a General Invariance Principle for Schrödinger Perturbations

Abstract: We study how a heat kernel changes after adding a Schrödinger potential. Our aim is to find functions that remain invariant, or become supermedian, for the perturbed evolution. We present a general method based on Duhamel’s formula and perturbation series, and illustrate it with Hardy-type potentials. The examples also show that different solutions of the same Duhamel equation may have different invariance properties.

Location: Université Laval, pavillon Alexandre-Vachon, VCH-3840

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ID: 673 3793 4824
Code: 518379