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7 papers · 2 filters
Weighted analytic regularity for the integral fractional Laplacian in polygons
Markus Faustmann, Carlo Marcati, Jens Markus Melenk +1
We prove weighted analytic regularity of solutions to the Dirichlet problem for the integral fractional Laplacian in polygons with analytic right-hand side. We localize the problem…
Stability of boundary conditions for the Sadowsky functional
Lorenzo Freddi, Peter Hornung, Maria Giovanna Mora +1
It has been proved by the authors that the (extended) Sadowsky functional can be deduced as the Gamma-limit of the Kirchhoff energy on a rectangular strip of height ,…
Dimensional Universality of Schauder Estimates Constants for Fourth Order Heat-Type Equations
Nicolò Cangiotti, Lorenzo Marino
A new method to compute Schauder Estimates for multidimensional fourth order heat-type equations is proposed. In particular, we show how knowing Schauder or Sobolev estimates for t…
Spurious Quasi-Resonances in Boundary Integral Equations for the Helmholtz Transmission Problem
Ralf Hiptmair, Andrea Moiola, Euan A. Spence
We consider the Helmholtz transmission problem with piecewise-constant material coefficients, and the standard associated direct boundary integral equations. For certain coefficien…
Poisson process and sharp constants in Lp and Schauder estimates for a class of degenerate Kolmogorov operators
L. Marino, S. Menozzi, E. Priola
We consider a possibly degenerate Kolmogorov-Ornstein-Uhlenbeck operator of the form L = Tr(BD 2) + Az, D , where A, B are N x N matrices, z R N , N 1, which satisfy th…
Weak well-posedness for degenerate SDEs driven by Lévy processes
L. Marino, S. Menozzi
In this article, we study the effects of the propagation of a non-degenerate Lévy noise through a chain of deterministic differential equations whose coefficients are Hölder contin…