Session 13. Global existence versus blowup in nonlinear parabolic systems

Hardy inequalities for semigroups

Krzysztof Bogdan, Wrocław University of Technology, Poland
We give general non-explosion results for Schrödinger perturbations of transition densities and Hardy inequalities for the corresponding quadratic forms. For instance we recover optimal Hardy inequalities, in fact equalities, for the quadratic forms of the Laplacian and the fractional Laplacian. This is a joint work with Panki Kim from Seoul National University.
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