WIAS Preprint List: Rehberg, Joachim
- 3115: Böhnlein, Tim; Egert, Moritz; Rehberg, Joachim
Bounded functional calculus for divergence form operators with dynamical boundary conditions
- 2959: Haller, Robert; Meinlschmidt, Hannes; Rehberg, Joachim
Hölder regularity for domains of fractional powers of elliptic operators with mixed boundary conditions
Appeared in: Pure Appl. Funct. Anal., 9 (2024), pp. 169--194. - 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