1.8k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- ETH ZurichCH99 papers
- University of MünsterDE18 papers
- University of PaviaIT9 papers
- University of ViennaAT9 papers
- University of Duisburg-EssenDE7 papers
- Chinese University of Hong Kong, ShenzhenCN6 papers
- Shenzhen Research Institute of Big DataCN6 papers
- University of Maryland, College ParkUS6 papers
- Princeton UniversityUS5 papers
- TU WienAT5 papers
- Austrian Academy of SciencesAT4 papers
- Chalmers University of TechnologySE4 papers
12 papers · 1 filter
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…
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…
On Bayesian data assimilation for PDEs with ill-posed forward problems
Samuel Lanthaler, Siddhartha Mishra, Franziska Weber
We study Bayesian data assimilation (filtering) for time-evolution PDEs, for which the underlying forward problem may be very unstable or ill-posed. Such PDEs, which include the Na…
Weighted analyticity of Hartree-Fock eigenfunctions
Yvon Maday, Carlo Marcati
We prove analytic-type estimates in weighted Sobolev spaces on the eigenfunctions of a class of elliptic and nonlinear eigenvalue problems with singular potentials, which includes…
The higher order fractional Calderón problem for linear local operators: uniqueness
Giovanni Covi, Keijo Mönkkönen, Jesse Railo +1
We study an inverse problem for the fractional Schrödinger equation (FSE) with a local perturbation by a linear partial differential operator (PDO) of order smaller than the order…
Div-Curl Problems and -regular Stream Functions in 3D Lipschitz Domains
Matthias Kirchhart, Erick Schulz
We consider the problem of recovering the divergence-free velocity field of a given vorticity on a bounded…
Unique continuation property and Poincaré inequality for higher order fractional Laplacians with applications in inverse problems
Giovanni Covi, Keijo Mönkkönen, Jesse Railo
We prove a unique continuation property for the fractional Laplacian when . In addition, we study Poincaré-type inequalities for t…
On the conservation of energy in two-dimensional incompressible flows
S. Lanthaler, S. Mishra, C. Parés-Pulido
We prove the conservation of energy for weak and statistical solutions of the two-dimensional Euler equations, generated as strong (in an appropriate topology) limits of the underl…
Regularity properties for solutions of infinite dimensional Kolmogorov equations in Hilbert spaces
Adam Andersson, Mario Hefter, Arnulf Jentzen +1
In this article we establish regularity properties for solutions of infinite dimensional Kolmogorov equations. We prove that if the nonlinear drift coefficients, the nonlinear diff…
Statistical solutions of hyperbolic conservation laws I: Foundations
Ulrik Skre Fjordholm, Samuel Lanthaler, Siddhartha Mishra
We seek to define statistical solutions of hyperbolic systems of conservation laws as time-parametrized probability measures on -integrable functions. To do so, we prove the equ…
Spectral properties of the Neumann-Poincaré operator and uniformity of estimates for the conductivity equation with complex coefficients
Hyeonbae Kang, Kyoungsun Kim, Hyundae Lee +2
We consider well-posedness of the boundary value problem in presence of an inclusion with complex conductivity . We first consider the transmission problem in and…
Sparse Deterministic Approximation of Bayesian Inverse Problems
Ch. Schwab, A. M. Stuart
We present a parametric deterministic formulation of Bayesian inverse problems with input parameter from infinite dimensional, separable Banach spaces. In this formulation, the for…