104 citations · 168 across the 13 of their papers we have counts for
5 papers · 1 filter
A note on the implicit function theorem for quasi-linear eigenvalue problems
Robin Nittka
We consider the quasi-linear eigenvalue problem subject to Dirichlet boundary conditions on a bounded open set , where is a locally Lipschitz continuous fun…
Inhomogeneous Parabolic Neumann Problems
Robin Nittka
We study second order parabolic equations on Lipschitz domains subject to inhomogeneous Neumann (or, more generally, Robin) boundary conditions. We prove existence and uniqueness o…
Convergence of operator-semigroups associated with generalised elliptic forms
Delio Mugnolo, Robin Nittka
In a recent article, Arendt and ter Elst have shown that every sectorial form is in a natural way associated with the generator of an analytic strongly continuous semigroup, even i…
A new proof of Doob's theorem
Moritz Gerlach, Robin Nittka
We prove that every bounded, positive, irreducible, stochastically continuous semigroup on the space of bounded, measurable functions which is strong Feller, consists of kernel ope…
Quasilinear elliptic and parabolic Robin problems on Lipschitz domains
Robin Nittka
We prove Hölder continuity up to the boundary for solutions of quasi-linear degenerate elliptic problems in divergence form, not necessarily of variational type, on Lipschitz domai…