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math.AP2026
Boundary determination from local boundary data for a fractional Calderón problem
Heiko Gimperlein, Magnus Goffeng
We introduce a new Calderón-type problem for fractional powers of Schrödinger operators, with local boundary conditions. The associated Dirichlet-to-Neumann operator maps Dirichlet…
math.AP2025
Macroscopic boundary conditions for a fractional diffusion equation in chemotaxis
Gissell Estrada-Rodriguez, Heiko Gimperlein
In this paper we examine boundary effects in a fractional chemotactic equation derived from a kinetic transport model describing cell movement in response to chemical gradients (ch…
math.AP2024
Solutions to semilinear wave equations of very low regularity
Heiko Gimperlein, Michael Oberguggenberger
This paper finds solutions to semilinear wave equations with strongly anomalous propagation of singularities. For very low Sobolev regularity we obtain solutions whose singular sup…