Mon, 09 Nov 2026
15:30 -
16:30
L3
Mon, 09 Nov 2026
16:30 -
17:30
L4
Mon, 26 Oct 2026
16:30 -
17:30
L4
Mon, 12 Oct 2026
16:30 -
17:30
L4
Regularity of oblique transmission problems
Iñigo Urtiaga Erneta
(Universitat Politecnica de Catalunya)
Abstract
Transmission problems model phenomena in domains composed of several adjacent phases. While a variational ''divergence-form'' theory is by now classical, a non-variational framework has only emerged more recently. This talk concerns the regularity of viscosity solutions to such transmission problems in non-divergence form.
I will present new regularity results in the case of flat interfaces, where the transmission condition may depend on both the normal and tangential derivatives of the solution. This condition can be viewed as a nonlinear coupling of oblique derivatives across the interface. Our main result establishes optimal piecewise $C^{1,\alpha}$ regularity for viscosity solutions.
Uncovering flow and deformation regimes in the coupled fluid-solid vestibular system
Vella, D
Moulton, D
Chico Vazquez, J
Poincaré-Birkhoff-Witt theorems in higher algebra.
Antolín-Camarena, O
Brantner, L
Heuts, G
Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
volume 384
issue 2328
20240410
(Aug 2026)