75 citations · 932 across the 61 of their papers we have counts for
68 papers
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…
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…
Convergence of layer potentials and Riemann-Hilbert problem on extension domains
Gabriel Claret, Anna Rozanova-Pierrat, Alexander Teplyaev
We prove the convergence of layer potential operators for the harmonic transmission problem over a sequence of converging two-sided extension domains. Consequently, the Neumann-Poi…
Dirichlet metric measure spaces: spectrum, irreducibility, and small deviations
Marco Carfagnini, Maria Gordina, Alexander Teplyaev
We show that for ultracontractive irreducible Dirichlet metric measure spaces, the Dirichlet spectrum is discrete for a restriction to any connected open set without any assumption…
Layer potential operators for transmission problems on extension domains
Gabriel Claret, Michael Hinz, Anna Rozanova-Pierrat +1
We use the well-posedness of transmission problems on classes of two-sided Sobolev extension domains to give variational definitions for (boundary) layer potential operators and Ne…
Quantitative approach to Grover's quantum walk on graphs
Gamal Mograby, Radhakrishnan Balu, Kasso A. Okoudjou +1
In this paper, we study Grover's search algorithm focusing on continuous-time quantum walk on graphs. We propose an alternative optimization approach to Grover's algorithm on graph…