1979
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Artikel
[1]
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S.
Luckhaus Existence and regularity of weak solutions
for the Dirichlet problem for semilinear elliptic systems of higher
order. J. Reine Ang. Math. 306, 192-207 |
| 1981
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Artikel
[2]
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R. Dal
Passo, S. Luckhaus: On a degenerate
diffusion equation not in divergence form. JDE 69,1-14
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1983
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Artikel
[3]
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H.W.
Alt, S. Luckhaus: Quasilinear
elliptic-parabolic differential equation. Math. Z. 183.
311-341
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1983
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Artikel
[4]
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S.
Luckhaus, A. Visintin: Phase
transitions in multicomponent mixtures. Man. mat. 43,
261-288
|
1984
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Artikel
[5]
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H.W.
Alt, S. Luckhaus, A. Visintin: On
nonstationary flow through porous media. Annali Mat.
Pura ed Appl. 136, 306-316
|
1984
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Artikel
[6]
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D. Kröner, S. Luckhaus: Flow of oil and water in a porous medium.
JDE 55, 276-288 |
1984
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Artikel
[7]
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W. Härdle, S. Luckhaus: Uniform consistency for a class of
regression function estimators. Ann. Stat. 12, 612-623 |
1986
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Artikel
[8]
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S. Luckhaus: Global boundedness for a delay differential
equation. Trans. AMS 294, 767-774 |
1987
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Artikel
[9]
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G. Anzellotti, S. Luckhaus: Dynamical evolution of elasto-perfectly
plastic bodies. App. Math. Opt. 15,
121-140 |
1987
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Artikel
[10]
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S. Luckhaus, U. Thiel: A Stefan problem in combustion. Acta
Appl. Mat. 9, 199-217 |
1988
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Artikel
[11]
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S. Luckhaus: Partial Hölder continuity for minima of
certain energies among maps into a Riemannian manifold. Indiana U. Math. J. 37, 349-367
|
1989
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Artikel
[12]
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S. Luckhaus, L. Modica: The Gibbs
Thompson relation within the gradient theory of phase transitions.
ARMA 107, 71-89
|
1990
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Artikel
[13]
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S. Luckhaus: Solutions
for the two phase Stefan problem with the Gibbs Thompson law for the
melting temperature. EJAM 1 (1990), 101-112 |
1990
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Artikel
[14]
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W. Härdle, S. Luckhaus: Uniform consistency for a class of
regression function estimators. Ann. Stat. 12, 612-623 |
1990
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Artikel
[15]
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H. Engler, B. Kawohl, S. Luckhaus: Gradient
estimates for solutions of parabolic equations and systems.
J. Math. An. and
Appl. 147, 309-329
|
1991
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Artikel
[16] |
S. Luckhaus, W. Sauermann: Multinomial
approximations for nonparametric experiments which minimize the maximal
loss of Fisher information. J. Prob. Rel. Fields 81, 159-184
|
1991
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Artikel
[17]
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W. Jäger, S. Luckhaus: Blow up for a reaction
diffusion system. Trans
AMS 329, 819-824 |
1991
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Artikel
[18]
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G. Gilardi, S. Luckhaus: Extension
of a regularity result concerning the dam problem. Rend. Mat. Acc. Lincei, s. 9, 2, 4, 287-296
|
1993
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Artikel
[19]
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S. Luckhaus: Convergence
of minimizers for the p- Dirichlet integral. Math. Z. 213, 449-456
|
1994
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Artikel
[20] |
S. Luckhaus, S. Zheng: A
nonlinear boundary value problem involving a nonlocal term. JNA TMA 22, 129-135 |
1995
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Artikel
[21] |
J. Filo, S. Luckhaus: Asymptotic
expansion for a periodic boundary condition JDE 120, 133-173 |
1996
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Artikel
[22] |
G. Gilardi, S. Luckhaus: A
regularity result for the solution to the dam problem. JNA TMA 26, 113-138 |
1996
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Artikel
[23] |
A. Bourgeat, S. Luckhaus,
A. Mikelic: Convergence of the
homogenization process for a double porosity model of immiscible two
phase flow. SIAM J. Math An. 27, 1520-1543 |
1999
|
Artikel
[24] |
J. Filo, S. Luckhaus: Modelling
surface runoff and infiltration of rain by an elliptic-parabolic
equation coupled with a first order equation on the boundary.
ARMA 146 , 2,
157-182
|
2000
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Artikel
[25] |
S. Luckhaus, P. Plotnikov: Entropy
solutions to a Buckley Leverett equation. Sib. J. Math. 41, 2, 329-348 |
2000
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Artikel
[26] |
J. Filo, S. Luckhaus: Homogenization
for a boundary condition for the heat equation. JEMS 2, 3, 217-258 |
top
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2001
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Artikel
[27] |
N. Dirr, S. Luckhaus: Mesoscopic
limit for nonisothermal phase transitions. Markov Processes 7 , 3, 355-382
|
2001
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Artikel
[28] |
S. Luckhaus, J. Malek: On an evolutionary
nonlinear fluid model in the limiting case. Math. Boh. 126, 2, 421-428 |
2001
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Artikel
[29] |
N. Dirr, S. Luckhaus, M. Novaga: A
stochastic selection principle in case of fattening for mean curvature
flow. Calc Var
13), 405-425 |
2002
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Artikel
[30] |
T. Blesgen, S. Luckhaus, K. Bente: Modelling
and numerical simulation of diffusion induced segregation.
Chryst. Res. Technol.
37,6, 570-580 |
2004
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Artikel
[31] |
S. Luckhaus, L. Triolo: A
continuum reaction diffusion limit of a stochastic cellular growth
model. Rend.
Acc. dei Lincei s. 9, 15, 215-223
|
2004
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Artikel
[32] |
T. Blesgen, S. Luckhaus, K. Bente: Diffusion
induced segregation in the case of the ternary system sphalerite,
chalcopyrite and cubanite. Cryst. Res. Technol. 39,11, 969-979
|
2005
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Artikel
[33] |
S. Luckhaus: Uniform
rectifiability from mean curvature bounds. Rec. Adv. Ell. Parab. Probl., 199-202
|
2006
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Artikel
[34] |
T. Blesgen, S. Luckhaus: The
dynamics of transition layers in solids with discontinous chemical
potentials. Math.
Meth. Appl. Sci. 29, 525-536 |
2006
|
Artikel
[35] |
G. Belletini, M.S. Gelli, S. Luckhaus, M.
Novaga: Deterministic equivalent for the Allen Cahn
energy of a scaling law in the Ising model. Calc. Var. 26, 429-445
|
2006
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Artikel
[36] |
T. Blesgen, S. Luckhaus, L. Mugnai: Discrete free energy
functionals for elastic material with phase change. Analysis,
modeling and simulation of multiscale problems.
Berlin: Springer 2006, 426-434 |
2006
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Artikel
[37] |
S. Luckhaus, Y. Sugiyama: Large
time behavior of solutions in super-critical cases to degenerate
Keller-Segel systems. M2AN
Math. Model. Numer. Anal. 40 (2006)3, 597-621. |
2007
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Artikel
[38] |
A. De Masi, S. Luckhaus, E. Presutti: Two
scales hydrodynamic limit for a model of malignant tumor cells. Ann. IHP, Prob. and Stat. 43 (2007),
257-297.
|
2007
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Artikel
[39] |
S. Luckhaus, Y. Sugiyama: Asymptotic
profile with the optimal convergence rate for a parabolic equation of
chemotaxis in super-critical cases. Math. J. Indiana Univ. 56 (2007),
1279-1297. |
2008
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Artikel
[40] |
S. Luckhaus, L.S. Luboobi, J.Y.T. Mugisha,
J. Tumwiine: An Age-structured mathematical model for
the within host dynamics of malaria and the immune system.
J. Math. Model
Algor 7 (2008), 79-97.
|
2008
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Artikel
[41] |
S. Luckhaus: Uniform Rectifiability
from Mean Curvature Bounds. Z. Anal. Anw. 27 (2008), 451-461.
|
2009
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Artikel
[42] |
J. Coville, N. Dirr, S. Luckhaus: Non-existence of positive stationary solutions for a
class of semi-linear PDEs with random coefficients. Networks and Heterogeneous Media 5 (2010). 745-763
|
2010
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Artikel
[443] |
S. Luckhaus, L. Mugnai: On a mesoscopic many body Hamiltonian
describing elastic shears and dislocations.
Cont. Mech. Thermodyn. 22 (2010), 251-290
|
2012
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S. Luckhaus, Y. Sugiyama and J.J.L. Velazquez: Measure valued solutions of the 2D Keller-Segel system
Archive for Rational Mechanics and Analysis 206 (2012), 31-80
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2013
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S. Luckhaus, G. Carinci: Langevin dynamics with a tilted periodic potential
Journal of Statistical Physics, 151 (2013), 870-895 and arXiv: 1208.1651 [math-ph]
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top
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2014
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S. Luckhaus, R. Kotecky: Nonlinear elastic free energies and gradient Young-Gibbs measures. Comm.Math.Phys. 326 (2014) 3, 887-917
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2014
|
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S. Luckhaus, D. Bucur: Monotonicity formula and regularity for general free discontinuity problems. Arch. Ration. Mech. Ration. Mech. Anal. 211 (2014) 2, 489-511.
|
2015
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G. Kitavtsev, S. Luckhaus and A. Rüland:
Surface energies arising in microscopic modeling of martensitic
transformations.
Math. Mod. Meth. Appl. Sci,
Vol. 25 (2015) 647–683
|
1995
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A. Bourgeat, C. Carasso, S. Luckhaus, A.
Mikelic (ed): Mathematical modelling
of flow through porous media.
St. Etienne |
1978
|
1.
|
S. Luckhaus: The Douglas problem for surfaces of
prescribed mean curvature. Preprint 234, SFB 72, Bonn |
1986
|
2.
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S. Luckhaus: C 1,ε, -regularity for energy
minimizing Holder continuous p-harmonic maps beetweeen Riemannian
manifolds. Preprint CMA,
Canberra |
1987
|
3.
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S. Luckhaus: Partial boundary regularity for the
capillarity problem in arbitrary space dimension. Preprint 416,
SFB 123, Heidelberg
|
1987
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4.
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H. Engler, S. Luckhaus: Weak solution classes for parabolic
integrodifferential equations. MRC Report 2422, Madison
|
1987
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5.
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C. Elliott, S. Luckhaus: A generalized diffusion equation for phase
separation of a multicomponent mixture with interfacial free energy .
Preprint 887, IMA, Minneapolis |
1991
|
6.
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S. Luckhaus: The Stefan problem with the Gibbs Thompson
law . Report Univ. Pisa 591
|
1991
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7.
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S. Luckhaus: Solidification of alloys and the Gibbs
Thompson law. Preprint 335, SFB 256, Bonn |
1991
|
8.
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S. Luckhaus, K. Räwer, J. Rittscher: A new gamma-convergent approximation of the
Mumford Shah functional. Preprint 517, SFB 256, Bonn |
2001
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9.
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M. Kimura, S. Luckhaus: Avariational problem arising from the
Mullins Sekerka Problem. Preprint MPI MIS |
2012
|
10.
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S. Luckhaus, R. Kotecky: Nonlinear elastic free energies and gradient Young-Gibbs measures.
arXiv: 1206.6009 [math-ph]
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