77 citations · 86 across the 12 of their papers we have counts for
16 papers
Global Strichartz estimates for wave equations with time-dependent structured Lipschitz coefficients
Dorothee Frey, Yonas Mesfun
We establish global-in-time Strichartz estimates without loss of derivatives for wave equations with time-dependent Lipschitz coefficients, which satisfy an additional structural a…
On the Well-posedness of Magnetic Schrödinger Equations with Unbounded Potentials
Dorothee Frey, Siliang Weng
We consider magnetic Schrödinger equations with sublinear magnetic potentials and subquadratic electric potentials on , as well as generalizations thereof. We obtai…
Strichartz estimates for equations with structured Lipschitz coefficients
Dorothee Frey, Robert Schippa
Sharp Strichartz estimates are proved for Schrödinger and wave equations with Lipschitz coefficients satisfying additional structural assumptions. We use Phillips functional calcul…
estimates for wave equations with specific coefficients
Dorothee Frey, Pierre Portal
Peral/Miyachi's celebrated theorem on fixed time estimates with loss of derivatives for the wave equation states that the operator is…
Weak and strong type - estimates for sparsely dominated operators
Dorothee Frey, Zoe Nieraeth
We consider operators satisfying a sparse domination property \[ |\langle Tf,g\rangle|\leq c\sum_{Q\in\mathscr{S}}\langle f\rangle_{p_0,Q}\langle g\rangle_{q_0',Q}|Q| \] with a…
Sobolev algebra through a "carré du champ" identity
Frederic Bernicot, Dorothee Frey
We consider abstract Sobolev spaces of Bessel-type associated with an operator. In this work, we pursue the study of algebra properties of such functional spaces through the corres…