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- Th Herrling, Julien Fuchs, Joachim Rehberg, Norbert Groth
- Free radical biology & medicine
- 2003

Reactive free radicals and reactive oxygen species (ROS) induced by ultraviolet irradiation in human skin are strongly involved in the occurrence of skin damages like aging and cancer. In the present work an ex vivo method for the detection of free radicals/ROS in human skin biopsies during UV irradiation is presented. This method is based on the Electronâ€¦ (More)

- Matthias Hieber, Joachim Rehberg
- SIAM J. Math. Analysis
- 2008

Amodel allowing for efficiently obtaining band structure information on semiconductor Quantum Well structures will be demonstrated which is based on matrix-valued kp-SchrÃ¶dinger operators. Effects such as confinement, band mixing, spin-orbit interaction and strain can be treated consistently. The impact of prominent Coulomb effects can be calculated byâ€¦ (More)

- Betty I. Abelev, Madan M. Aggarwal, +381 authors Y. Zoulkarneeva
- Physical review letters
- 2010

We report the first three-particle coincidence measurement in pseudorapidity (Î”Î·) between a high transverse momentum (pâŠ¥) trigger particle and two lower pâŠ¥ associated particles within azimuth |Î”Ï•|<0.7 in square root of s(NN)=200 GeV d+Au and Au+Au collisions. Charge ordering properties are exploited to separate the jetlike component and the ridge (longâ€¦ (More)

- Dietmar HÃ¶mberg, Christian Meyer, Joachim Rehberg, Wolfgang Ring
- SIAM J. Control and Optimization
- 2010

This paper is concerned with the state-constrained optimal control of the twodimensional thermistor problem, a quasi-linear coupled system of a parabolic and elliptic PDE with mixed boundary conditions. This system models the heating of a conducting material by means of direct current. Existence, uniqueness and continuity for the state system are derived byâ€¦ (More)

We consider a stationary SchrÃ¶dinger-Poisson system on a bounded interval of the real axis. The SchrÃ¶dinger operator is defined on the bounded domain with transparent boundary conditions. This allows to model a non-zero current flow trough the boundary of the interval. We prove that the system always admits a solution and give explicit a priori estimatesâ€¦ (More)

We describe an embedding of a quantum mechanically described structure into a macroscopic flow. The open quantum system is partly driven by an adjacent macroscopic flow acting on the boundary of the bounded spatial domain designated to quantum mechanics. This leads to an essentially nonâ€“ selfadjoint SchrÃ¶dingerâ€“type operator, the spectral properties ofâ€¦ (More)

- PASCAL AUSCHER, NADINE BADR, ROBERT HALLER-DINTELMANN, Joachim Rehberg
- 2013

We show that, under very general conditions on the domain Î© and the Dirichlet partD of the boundary, the operator ( âˆ’âˆ‡Â·Î¼âˆ‡+1 ) 1/2 with mixed boundary conditions provides a topological isomorphism between W 1,p D (Î©) and L p(Î©), if p âˆˆ ]1, 2].

The paper deals with optimal control problems for semilinear elliptic and parabolic PDEs subject to pointwise state constraints. The main issue is that the controls are taken from a restricted control space. In the parabolic case, they are Rm -vector-valued functions of the time, while the are vectors of Rm in elliptic problems. Under natural assumptions,â€¦ (More)

- A.F.M. ter Elst, M. Meyries, Joachim Rehberg
- 2012

We consider parabolic equations with mixed boundary conditions and domain inhomogeneities supported on a lower dimensional hypersurface, enforcing a jump in the conormal derivative. Only minimal regularity assumptions on the domain and the coefficients are imposed. It is shown that the corresponding linear operator enjoys maximal parabolic regularity in aâ€¦ (More)