2 citations · 7 across the 10 of their papers we have counts for
10 papers
Peculiar behavior of the principal Laplacian eigenvalue for large negative Robin parameters
Charlotte Dietze, Konstantin Pankrashkin
Let with be a bounded Lipschitz domain with outer unit normal . For let be the Laplacian in with the Robin boundary…
Minimizing sequences of Sobolev inequalities revisited
Charlotte Dietze, Phan Thành Nam
We give a new proof of the compactness of minimizing sequences of the Sobolev inequalities in the critical case. Our approach relies on a simplified version of the concentration-co…
Hardy-Sobolev interpolation inequalities
Charlotte Dietze, Phan Thành Nam
We derive a family of interpolation estimates which improve Hardy's inequality and cover the Sobolev critical exponent. We also determine all optimizers among radial functions in t…
Isoperimetric inequalities for inner parallel curves
Charlotte Dietze, Ayman Kachmar, Vladimir Lotoreichik
We prove weighted isoperimetric inequalities for smooth, bounded, and simply connected domains. More precisely, we show that the moment of inertia of inner parallel curves for doma…
Weyl's law for Neumann Schrödinger operators on Hölder domains
Charlotte Dietze
We review recent results on the semiclassical behaviour of Schrödinger operators with Neumann boundary conditions. In this setting, the validity of Weyl's law requires additional c…
Focusing dynamics of 2D Bose gases in the instability regime
Lea Boßmann, Charlotte Dietze, Phan Thành Nam
We consider the dynamics of a 2D Bose gas with an interaction potential of the form for . The interaction may be chosen to be negative and large…
Semiclassical estimates for Schrödinger operators with Neumann boundary conditions on Hölder domains
Charlotte Dietze
We prove a universal bound for the number of negative eigenvalues of Schrödinger operators with Neumann boundary conditions on bounded Hölder domains, under suitable assumptions on…
Uniform in Time Convergence to Bose-Einstein Condensation for a Weakly Interacting Bose Gas with an External Potential
Charlotte Dietze, Jinyeop Lee
We consider a gas of weakly interacting bosons in three dimensions subject to an external potential in the mean field regime. Assuming that the initial state of our system is a pro…
Dispersive Estimates for Nonlinear Schrödinger Equations with External Potentials
Charlotte Dietze
We consider the long time dynamics of nonlinear Schrödinger equations with an external potential. More precisely, we look at Hartree type equations in three or higher dimensions wi…
Totally odd depth-graded multiple zeta values and period polynomials
Charlotte Dietze, Chokri Manai, Christian Nöbel +1
Inspired by a paper of Tasaka, we study the relations between totally odd, motivic depth-graded multiple zeta values. Our main objective is to determine the rank of the matrix $C_{…