On the existence of gaussian bounds for first order derivative of the heat kernel on a manifold with boundry and its application.

06.02.2025, 16:15  –  Raum 0.14
Forschungsseminar Differentialgeometrie

Ihsane Malass

We investigate the existence of gaussian bounds for  heat kernel constructed by the parametrix methods of E.E.Levi and the single / double layer  potential  on a manifold with boundary, and its application in the study of differentiability of the  trace of heat kernel of the perturbed laplace operator on a manifold with boundry under suitable boundry conditions.