4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.CA2016
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…
math.AP2014
On well-posedness of parabolic equations of Navier-Stokes type with BMO^{-1}(\R^n) data
Pascal Auscher, Dorothee Frey
We develop a strategy making extensive use of tent spaces to study parabolic equa-tions with quadratic nonlinearities as for the Navier-Stokes system. We begin with a new proof of…
math.AP2014★ 4 cited
Gaussian heat kernel bounds through elliptic Moser iteration
Frédéric Bernicot, Thierry Coulhon, Dorothee Frey
On a doubling metric measure space endowed with a "carré du champ", we consider estimates of the gradient of the heat semigroup and scale-invariant Poincaré ine…