6 citations · 25 across the 20 of their papers we have counts for
23 papers · 1 filter
Tangential and normal traces for extension domains with non-Lipschitz boundaries
Romain Cervera, Patrick Ciarlet, Anna Rozanova-Pierrat +1
We generalize the classical vector-valued tangential and normal trace theory on Lipschitz domains to the setting of non-Lipschitz -extension domains, which includes domains wi…
Integral Equation Methods for Scattering by Multifractal Obstacles
Simon N. Chandler-Wilde, Gabriel Claret, David P. Hewett +2
Caetano et al. (Proc. R. Soc. A. 481:20230650, 2025) have proposed a formulation for sound-soft acoustic scattering by a compact scatterer O Rn, in which the scattered fi…
On analysis of problems of mathematical physics with non-Lipschitz boundaries
Anna Rozanova-Pierrat
We review recent advances in solving problems of mathematical physics on domains with irregular boundaries in Rn. We distinguish two frameworks: a measure-free approach in the imag…
Poincar{é}-Steklov operator and Calder{ó}n's problem on extension domains
Gabriel Claret, Michael Hinz, Anna Rozanova-Pierrat
We consider Calder{ó}n's problem on a class of Sobolev extension domains containing non-Lipschitz and fractal shapes. We generalize the notion of Poincar{é}-Steklov (Dirichlet-to-N…
Parametric shape optimization for the convected Helmholtz equation with a generalized Myers boundary condition
Nabil Alami, Edward Lucyszyn, Raphaél Pain Dit Hermier +1
We consider the convected Helmholtz equation with a generalized Myers boundary condition (a boundary condition of the second-order) and characterize the set of physical parameters…
Fractal curvatures and short-time asymptotics of heat content
Anna Rozanova-Pierrat, Alexander Teplyaev, Steffen Winter +1
The aim of our paper is twofold. First, we present new mathematical developments on the analysis of de Gennes' hypothesis on the short-time asymptotics of the heat content for boun…