WIAS Preprint List: Kaiser, Hans-Christoph
- 1977: Disser, Karoline; Kaiser, Hans-Christoph; Rehberg, Joachim
Optimal Sobolev regularity for linear second-order divergence elliptic operators occurring in real-world problems
Appeared in: SIAM J. Math. Anal., 47 (2015) pp. 1719--1746. - 1709: Racec, Paul N.; Schade, Stanley; Kaiser, Hans-Christoph
Eigensolutions of the Wigner--Eisenbud problem for a cylindrical nanowire within finite volume method
Appeared in: J. Comput. Phys., 252 (2013) pp. 52--64. - 1515: Haller-Dintelmann, Robert; Höppner, Wolfgang; Kaiser, Hans-Christoph; Rehberg, Joachim; Ziegler, Günter
Optimal elliptic Sobolev regularity near three-dimensional, multi-material Neumann vertices
Appeared in: Funct. Anal. Appl., 48 (2014) pp. 208--222. Primary publication: “Optimal'naya ellipticheskaya regulyarnost' v prostranstvakh Soboleva vblizi tryokhmernykh mnogomaterial'nykh vershin Neumana” (Russian) in “Funktsional'nyi Analiz i Ego Prilozheniya”, Vol. 48, No. 3, pp. 63--83, 2014 - 1511: Kaiser, Hans-Christoph; Rehberg, Joachim
Optimal elliptic regularity at the crossing of a material interface and a Neumann boundary edge
Appeared in: J. Math. Sci. (N. Y.), 169 (2010) pp. 145--166. Primary publication: “Optimal'naya regulyarnost' ellipticheskogo operatora na peresechenii poverkhnosti razdela sred i rebra na granitse s usloviem Neumana” (Russian) in “Problems in Mathematical Analysis” 48, July 2010, pp. 15--34. - 1439: Haller-Dintelmann, Robert; Kaiser, Hans-Christoph; Rehberg, Joachim
Direct computation of elliptic singularities across anisotropic, multi-material edges
Appeared in: J. Math. Sci. (N. Y.), 172 (2011) pp. 589--622. - 1373: Hoke, Kurt; Kaiser, Hans-Christoph; Rehberg, Joachim
Analyticity for some operator functions from statistical quantum mechanics
Appeared in: Ann. Henri Poincare, 10 (2009) pp. 749--771. - 1275: Kaiser, Hans-Christoph; Neidhardt, Hagen; Rehberg, Joachim
Monotonicity properties of the quantum mechanical particle density
Appeared in: Monatsh. Math., 158 (2009) pp. 179--185. - 1203: Haller-Dintelmann, Robert; Kaiser, Hans-Christoph; Rehberg, Joachim
Elliptic model problems including mixed boundary conditions and material heterogeneities
Appeared in: J. Math. Pures Appl., 89 (2008) pp. 25--48. - 1189: Kaiser, Hans-Christoph; Neidhardt, Hagen; Rehberg, Joachim
Classical solutions of drift-diffusion equations for semiconductor devices: The 2D case
Appeared in: Nonlinear Anal., 71 (2009) pp. 1584--1605. - 1133: Koprucki, Thomas; Kaiser, Hans-Christoph; Fuhrmann, Jürgen
Electronic states in semiconductor nanostructures and upscaling to semi-classical models
Appeared in: Analysis, Modeling and Simulation of Multiscale Problems, A. Mielke, ed., Springer, Heidelberg, 2006, pp. 365--394 - 1066: Elschner, Johannes; Kaiser, Hans-Christoph; Rehberg, Joachim; Schmidt, Gunther
$W^1,q$ regularity results for elliptic transmission problems on heterogeneous polyhedra
Appeared in: Math. Models Methods Appl. Sci., 17 (2007) pp. 593--615. - 1048: Griepentrog, Jens André; Höppner, Wolfgang; Kaiser, Hans-Christoph; Rehberg, Joachim
A bi-Lipschitz, volume preserving map from the unit ball onto a cube
Appeared in: Note Mat., 28 (2008) pp. 185--201. - 835: Kaiser, Hans-Christoph; Neidhardt, Hagen; Rehberg, Joachim
Convexity of trace functionals and Schrödinger operators
Appeared in: J. Funct. Anal., 234 (2006) pp. 45--69. - 814: Baro, Michael; Kaiser, Hans-Christoph; Neidhardt, Hagen; Rehberg, Joachim
A quantum transmitting Schrödinger-Poisson system
Appeared in: Reviews in Mathematical Physics, 2004, Vol. 16, No. 3, pp. 281-330 - 765: Kaiser, Hans-Christoph; Neidhardt, Hagen; Rehberg, Joachim
Classical solutions of quasilinear parabolic systems on two-dimensional domains
Appeared in: NoDEA Nonlinear Differential Equations Appl., 13 (2006) pp. 287-310. - 728: Kaiser, Hans-Christoph; Neidhardt, Hagen; Rehberg, Joachim
Density and current of a dissipative Schrödinger operator
Appeared in: Journal of Mathematical Physics, 2002, 43, 11, p 5325-5350 - 719: Baro, Michael; Kaiser, Hans-Christoph; Neidhardt, Hagen; Rehberg, Joachim
Dissipative Schrödinger-Poisson systems
Appeared in: J. Math. Phys. 45 (2004), no. 1, pp. 21-43 - 664: Kaiser, Hans-Christoph; Neidhardt, Hagen; Rehberg, Joachim
On one dimensional dissipative Schrödinger-type operators, their dilations and eigenfunction expansions
Appeared in: Mathematische Nachrichten, 2003, Vol. 252, pp.51-69 - 650: Kaiser, Hans-Christoph; Neidhardt, Hagen; Rehberg, Joachim
Macroscopic current induced boundary conditions for Schrödinger-type operators
Appeared in: Integral Equations and Operator Theory, 2003, 45, pp. 39-63 - 630: Gajewski, Herbert; Kaiser, Hans-Christoph; Langmach, Hartmut; Nürnberg, Reiner; Richter, Rainer H.
Mathematical modeling and numerical simulation of semiconductor detectors
Appeared in: Mathematics - Key Technology for the Future. Joint Projects Between Universities and Industry, W. Jaeger, H.-J. Krebs, eds., Springer-Verlag Berlin Heidelberg, 2003, pp. 355-364 - 582: Bandelow, Uwe; Kaiser, Hans-Christoph; Koprucki, Thomas; Rehberg, Joachim
Modeling and simulation of strained quantum wells in semiconductor lasers
Appeared in: Mathematics - Key Technology for the Future. Joint Projects Between Universities and Industry, W. Jaeger, H.-J. Krebs, eds., Springer-Verlag Berlin heidelberg, 2003, pp. 377-390 - 580: Griepentrog, Jens André; Gröger, Konrad; Kaiser, Hans-Christoph; Rehberg, Joachim
Interpolation for function spaces related to mixed boundary value problems
Appeared in: Mathematische Nachrichten, 2002, Vol.241, pp. 110-120 - 511: Griepentrog, Jens André; Kaiser, Hans-Christoph; Rehberg, Joachim
Resolvent and heat kernel properties for second order elliptic differential operators with general boundary conditions on L^p
Appeared in: Advances in Mathematical Sciences and Applications, 2001, Vol. 11, num. 1, pp. 87-112 - 494: Bandelow, Uwe; Kaiser, Hans-Christoph; Koprucki, Thomas; Rehberg, Joachim
Spectral properties of k - p Schrödinger operators in one space dimension
Appeared in: Num. Funct. Anal. Opti. (2000), Vol. 21, no. 3/4, pp. 379-410 - 368: Kaiser, Hans-Christoph; Rehberg, Joachim
About a one-dimensional stationary Schrödinger-Poisson system with Kohn-Sham potential
Appeared in: Z. Angew. Math. Phys., 50 (1999), No. 3, pp. 423-458. - 339: Kaiser, Hans-Christoph; Rehberg, Joachim
About a Stationary Schrödinger-Poisson System with Kohn-Sham potential in Nanoelectronics
Appeared in: Nonlinear Analysis, 2000, Vol. 41, Num. 1-2, pp. 33-72. - 224: Gajewski, Herbert; Glitzky, Annegret; Griepentrog, Jens André; Hünlich, Rolf; Kaiser, Hans-Christoph; Rehberg, Joachim; Röpke, Wilfried; Stephan, Holger; Wenzel, Hans
Modellierung und Simulation von Bauelementen der Nano- und Optoelektronik
Appeared in: Mathematik-Schluesseltechnologie fuer die Zukunft, Springer, 1997, pp. 303-313 - 66: Kaiser, Hans-Christoph; Rehberg, Joachim; Albinus, Günther
On Stationary Schrödinger-Poisson Equations
Appeared in: Math. Methods Appl. Sci., 20 (1997), pp. 1283-1312