WIAS Preprint List: Rehberg, Joachim

• 2959: Haller, Robert; Meinlschmidt, Hannes; Rehberg, Joachim
  Hölder regularity for domains of fractional powers of elliptic operators with mixed boundary conditions
  
• 2723: Chill, Ralph; Meinlschmidt, Hannes; Rehberg, Joachim
  On the numerical range of second order elliptic operators with mixed boundary conditions in L$^p$
  Appeared in: J. Evol. Equ., 21 (2021), pp. 3267--3288 (published online on 20.10.2020), DOI 10.1007/s00028-020-00642-6 .
• 2705: Meinlschmidt, Hannes; Rehberg, Joachim
  Extrapolated elliptic regularity and application to the van Roosbroeck system of semiconductor equations
  Appeared in: J. Differential Equations, 280 (2021), pp. 375--404, DOI 10.1016/j.jde.2021.01.032 .
• 2667: ter Elst, A.F. M.; Linke, Alexander; Rehberg, Joachim
  On the numerical range of sectorial forms
  Appeared in: Pure Appl. Funct. Anal., 7 (2022), pp. 1931--1940.
• 2590: ter Elst, A. F. M.; Haller-Dintelmann, Robert; Rehberg, Joachim; Tolksdorf, Patrick
  On the $L^p$-theory for second-order elliptic operators in divergence form with complex coefficients
  Appeared in: J. Evol. Equ., 21 (2021), pp. 3963--4003, DOI 10.1007/s00028-021-00711-4 .
• 2576: Meinlschmidt, Hannes; Meyer, Christian; Rehberg, Joachim
  Regularization for optimal control problems associated to nonlinear evolution equations
  Appeared in: J. Convex Anal., 27 (2020), pp. 443--485, DOI 10.20347/WIAS.PREPRINT.2576 .
• 2574: ter Elst, A. F. M.; Meinlschmidt, Hannes; Rehberg, Joachim
  Essential boundedness for solutions of the Neumann problem on general domains
  
• 2507: Disser, Karoline; Rehberg, Joachim
  The 3D transient semiconductor equations with gradient-dependent and interfacial recombination
  Appeared in: Math. Models Methods Appl. Sci., 29 (2019), pp. 1819--1851, DOI 10.1142/S0218202519500350 .
• 2382: ter Elst, A. F. M.; Rehberg, Joachim
  Consistent operator semigroups and their interpolation
  Appeared in: J. Operator Theory, 82 (2019), pp. 3--21, DOI 10.7900/jot.2017nov15.2233 .
• 2312: Horstmann, Dirk; Rehberg, Joachim; Meinlschmidt, Hannes
  The full Keller--Segel model is well-posed on fairly general domains
  Appeared in: Nonlinearity, 31 (2018), pp. 1560--1592, DOI 10.1088/1361-6544/aaa2e1 .
• 2249: Disser, Karoline; ter Elst, A. F. M.; Rehberg, Joachim
  On maximal parabolic regularity for non-autonomous parabolic operators
  Appeared in: J. Differential Equations, 262 (2017), pp. 2039--2072.
• 2238: Meinlschmidt, Hannes; Meyer, Christian; Rehberg, Joachim
  Optimal control of the thermistor problem in three spatial dimensions
  Appeared in: SIAM J. Control Optim., Part 1 (Existence of optimal solutions) 55:5 (2017) pp. 2876--2904, Part 2 (Optimality Conditions) 55:4 (2017) pp. 2368--2392.
• 2097: Disser, Karoline; Rehberg, Joachim; ter Elst, A. F. M.
  Hölder estimates for parabolic operators on domains with rough boundary
  Appeared in: Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), XVII (2017), pp. 65--79.
• 2064: Meinlschmidt, Hannes; Rehberg, Joachim
  Hölder-estimates for non-autonomous parabolic problems with rough data
  Appeared in: Evol. Equ. Control Theory, 5 (2016), pp. 147--184.
• 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.
• 1957: Egert, Moritz; Haller-Dintelmann, Robert; Rehberg, Joachim
  Hardy's inequality for functions vanishing on a part of the boundary
  Appeared in: Potential Anal., 43 (2015) pp. 49--78.
• 1950: ter Elst, A. F. M.; Rehberg, Joachim
  Hölder estimates for second-order operators with mixed boundary conditions
  Appeared in: Adv. Differential Equations, 20 (2015) pp. 299--360.
• 1905: Disser, Karoline; Meyries, Martin; Rehberg, Joachim
  A unified framework for parabolic equations with mixed boundary conditions and diffusion on interfaces
  Appeared in: J. Math. Anal. Appl., 430 (2015) pp. 1102--1123.
• 1712: ter Elst, A.F.M.; Meyries, Martin; Rehberg, Joachim
  Parabolic equations with dynamical boundary conditions and source terms on interfaces
  Appeared in: Ann. Mat. Pura Appl. IV. Ser., 193 (2014) pp. 1295--1318.
• 1706: Haller-Dintelmann, Robert; Jonsson, Alf; Knees, Dorothee; Rehberg, Joachim
  On elliptic and parabolic regularity for mixed boundary value problems
  Appeared in: Math. Methods Appl. Sci., 39 (2016), pp. 5007--5026, DOI 10.1002/mma.3484/abstract .
• 1700: Krumbiegel, Klaus; Rehberg, Joachim
  Second order sufficient optimality conditions for parabolic optimal control problems with pointwise state constraints
  Appeared in: SIAM J. Control Optim., 51 (2013) pp. 301--331.
• 1695: Rehberg, Joachim
  A criterion for a two-dimensional domain to be Lipschitzian
  
• 1604: Dreyer, Wolfgang; Huth, Robert; Mielke, Alexander; Rehberg, Joachim; Winkler, Michael
  Blow-up versus boundedness in a nonlocal and nonlinear Fokker--Planck equation
  Appeared in: ZAMP Z. Angew. Math. Phys., 66 (2015) pp. 293--315 with the title “Global existence for a nonlocal and nonlinear Fokker--Planck equation”
• 1599: Hömberg, Dietmar; Krumbiegel, Klaus; Rehberg, Joachim
  Boundary coefficient control --- A maximal parabolic regularity approach
  Appeared in: Appl. Math. Optim., 67 (2013) pp. 3--31 under the title “Optimal control of a parabolic equation with dynamic boundary condition"
• 1587: ter Elst, A.F.M.; Rehberg, Joachim
  $L^infty$-estimates for divergence operators on bad domains
  Appeared in: Anal. Appl. (Singap.), 10 (2012) pp. 207--214.
• 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.
• 1473: Haller-Dintelmann, Robert; Rehberg, Joachim
  Coercivity for elliptic operators and positivity of solutions on Lipschitz domains
  Appeared in: Arch. Math. (Basel), 95 (2010) pp. 457--468.
• 1459: Haller-Dintelmann, Robert; Rehberg, Joachim
  Maximal parabolic regularity for divergence operators on distribution spaces
  Appeared in: Parabolic Problems: The Herbert Amann Festschrift, J. Escher, P. Guidotti, M. Hieber, P. Mucha, J.W. Pruess, Y. Shibata, G. Simonett, CH. Walker, W. Zajaczkowski, eds., vol. 80 of Progress in Nonlinear Differential Equations and Their Applications, Springer, Basel, 2011, pp. 313--342
• 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.
• 1363: Hömberg, Dietmar; Meyer, Christian; Rehberg, Joachim; Ring, Wolfgang
  Optimal control for the thermistor problem
  Appeared in: SIAM J. Control Optim., 48 (2010) pp. 3449--3481.
• 1316: Haller-Dintelmann, Robert; Meyer, Christian; Rehberg, Joachim
  Hölder continuity for second order elliptic problems with nonsmooth data
  Appeared in: Appl. Math. Optim., 60 (2009) pp. 397--428.
• 1293: Cornean, Horia; Hoke, Kurt; Neidhardt, Hagen; Racec, Paul N.; Rehberg, Joachim
  A Kohn--Sham system at zero temperature
  Appeared in: J. Phys. A, 41 (2008) pp. 385304/1--385304/21.
• 1288: Haller-Dintelmann, Robert; Rehberg, Joachim
  Maximal parabolic regularity for divergence operators including mixed boundary conditions
  Appeared in: J. Differential Equations, 247 (2009) pp. 1354--1396.
• 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.
• 1124: Hieber, Matthias; Rehberg, Joachim
  Quasilinear parabolic systems with mixed boundary conditions
  Appeared in: SIAM J. Math. Anal., 40 (2008) pp. 292--305.
• 1094: Elschner, Johannes; Rehberg, Joachim; Schmidt, Gunther
  Optimal regularity for elliptic transmission problems including $C^1$ interfaces
  Appeared in: Interfaces Free Bound., 9 (2007) pp. 233--252.
• 1076: Behrndt, Jussi; Neidhardt, Hagen; Rehberg, Joachim
  Block operator matrices, optical potentials, trace class perturbations and scattering
  Appeared in: Operator Theory in Inner Product Spaces, K.-H. Förster, P. Jonas, H. Langer, C. Trunk, eds., Vol. 175 of Operator Theory: Advances and Applications, Birkhäuser, Basel, 2007, 33--49
• 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.
• 1045: Neidhardt, Hagen; Rehberg, Joachim
  Scattering matrix, phase shift, spectral shift and trace formula for one-dimensional Schrödinger-type operators
  Appeared in: Integral Equations Operator Theory, 58 (2007) pp. 407--431.
• 1044: Neidhardt, Hagen; Rehberg, Joachim
  Uniqueness for dissipative Schrödinger--Poisson systems
  Appeared in: J. Math. Phys., 46 (2005) pp. 113513/1--113513/28.
• 946: Baro, Michael; Neidhardt, Hagen; Rehberg, Joachim
  Current coupling of drift-diffusion models and dissipative Schrödinger--Poisson systems: Dissipative hybrid models
  Appeared in: SIAM J. Math. Anal., Vol. 37, No. 3, pp. 941-981, 2005
• 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.
• 827: Elschner, Johannes; Maz'ya, Vladimir; Rehberg, Joachim; Schmidt, Gunther
  Solutions for quasilinear nonsmooth evolution systems in L^p
  Appeared in: Arch. Rational Mech. Anal. 171 (2004), pp. 219-262
• 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
• 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