16 citations · 87 across the 36 of their papers we have counts for
5 papers · 1 filter
Lions' maximal regularity problem with H 1/ 2 -regularity in time
Mahdi Achache, El Maati Ouhabaz
We consider the problem of maximal regularity for non-autonomous Cauchy problems u ' (t) + A(t) u(t) = f (t), t (0, ] u(0) = u 0. The time dependent operators A(t) are as…
Analyticity of the Dirichlet-to-Neumann semigroup on continuous functions
A. F. M. ter Elst, E. M. Ouhabaz
Let be a bounded open subset with -boundary for some . Consider the Dirichlet-to-Neumann operator associated to the elliptic operator $- \sum \partial_l ( c_{kl}…
Dirichlet-to-Neumann and elliptic operators on C 1+ -domains: Poisson and Gaussian bounds
A. F. M. Ter Elst, El Maati Ouhabaz
We prove Poisson upper bounds for the heat kernel of the Dirichlet-to-Neumann operator with variable H{ö}lder coefficients when the underlying domain is bounded and has a C 1+-b…
L p -estimates for the heat semigroup on differential forms, and related problems
Jocelyn Magniez, El Maati Ouhabaz
We consider a complete non-compact Riemannian manifold satisfying the volume doubling property and a Gaussian upper bound for its heat kernel (on functions). Let -- $…
Littlewood-Paley-Stein functions for Schrödinger operators
El Maati Ouhabaz
We study boundedness on of vertical Littlewood-Paley-Stein functions for Schrödinger operators with nonnegative potential . These functions are proved to be b…