Page 524 - 8th European Congress of Mathematics ∙ 20-26 June 2021 ∙ Portorož, Slovenia ∙ Book of Abstracts
P. 524
NONLOCAL OPERATORS AND RELATED TOPICS (MS-55)
hence with differentiable inverse) ones. These results have been obtained in collaboration with
Serena Dipierro and Ovidiu Savin.
Nonlinear fractional parabolic equations
Juan Luis Vazquez, juanluis.vazquez@uam.es
Universidad Autonoma de Madrid, Spain
We report on the progress done on the theory of evolution equations that combine the strongly
nonlinear parabolic character with the presence of fractional operators representing long-range
interaction effects. The results deal with the topics of optimal existence, regularity, self-similarity,
and asymptotics.
On boundary decay of harmonic functions, Green kernels and heat
kernels for some non-local operators
Zoran Vondracˇek, vondra@math.hr
University of Zagreb, Croatia
In this talk, I will discuss non-local operators in open subsets of Euclidean space with critical
potentials and kernels admitting a decay at the boundary. The focus will be on the boundary
decay of non-negative harmonic functions, Green kernels, and heat kernels. I will explain how
decay depends on the critical potential and the possible decay of the kernel at the boundary
522
hence with differentiable inverse) ones. These results have been obtained in collaboration with
Serena Dipierro and Ovidiu Savin.
Nonlinear fractional parabolic equations
Juan Luis Vazquez, juanluis.vazquez@uam.es
Universidad Autonoma de Madrid, Spain
We report on the progress done on the theory of evolution equations that combine the strongly
nonlinear parabolic character with the presence of fractional operators representing long-range
interaction effects. The results deal with the topics of optimal existence, regularity, self-similarity,
and asymptotics.
On boundary decay of harmonic functions, Green kernels and heat
kernels for some non-local operators
Zoran Vondracˇek, vondra@math.hr
University of Zagreb, Croatia
In this talk, I will discuss non-local operators in open subsets of Euclidean space with critical
potentials and kernels admitting a decay at the boundary. The focus will be on the boundary
decay of non-negative harmonic functions, Green kernels, and heat kernels. I will explain how
decay depends on the critical potential and the possible decay of the kernel at the boundary
522
