9 Result(s)
within
Robert Haller-Dintelmann
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Article
Open AccessRigorous Analysis and Dynamics of Hibler’s Sea Ice Model
This article develops for the first time a rigorous analysis of Hibler’s model of sea ice dynamics. Identifying Hibler’s ice stress as a quasilinear second-order operator and regarding Hibler’s model as a quas...
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Article
Higher regularity for solutions to elliptic systems in divergence form subject to mixed boundary conditions
This work combines results from operator and interpolation theory to show that elliptic systems in divergence form admit maximal elliptic regularity on the Bessel potential scale
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Article
Hardy’s Inequality for Functions Vanishing on a Part of the Boundary
We develop a geometric framework for Hardy’s inequality on a bounded domain when the functions do vanish only on a closed portion of the boundary.
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Article
The square root problem for second-order, divergence form operators with mixed boundary conditions on L p
We show that, under general conditions, the operator \({(-\nabla . \mu \nabla + 1)^{1/2}}\) ...
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Chapter
Maximal Parabolic Regularity for Divergence Operators on Distribution Spaces
We show that elliptic second-order operators A of divergence type fulfill maximal parabolic regularity on distribution spaces, even if the underlying domain is highly non-smooth, the coefficients of A are discont...
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Article
Coercivity for elliptic operators and positivity of solutions on Lipschitz domains
We show that usual second order operators in divergence form satisfy coercivity on Lipschitz domains if they are either complemented with homogeneous Dirichlet boundary conditions on a set of non-zero boundary...
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Article
Irreducibility and Mixed Boundary Conditions
In this paper we consider positive semigroups on L p (Ω) generated by elliptic operators A subject to mixed Dirichlet-Neumann boundary conditions on non-smooth domains Ω. We show...
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Chapter
Expansions in Generalized Eigenfunctions of the Weighted Laplacian on Star-shaped Networks
We are interested in evolution phenomena on star-shaped networks composed of n semi-infinite branches which are connected at their origins. Using spectral theory we construct the equivalent of the Fourier transfo...
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Article
H∞-calculus for Products of Non-Commuting operators
It is shown that the product of two sectorial operators A and B admits a bounded H∞-calculus on a Banach space X provided suitable commutator estimates and Kalton-Weis type assumptions on A and B are satisfied.
