Publications

Articles and Theses

1.

S. Maier

Ein polynomiales, primal-duales Innere-Punkte-Verfahren mit endlicher Genauigkeit
zur Lösung linearer Programme

Master Thesis, Universität Augsburg, 79 pp., 1989

 

2.

S. Maier

Asymptotic Behaviour of Spherical Symmetric Solutions of Semilinear Elliptic Equations

PhD Thesis, Universität Augsburg, 91 pp., 1991

 

3.

S. Maier

Radial solutions of semilinear elliptic equations with prescribed numbers of zeros (Summary)

Proc. Equadiff 91, 716-721, 1993

 

4.

H. Kielhöfer, S. Maier

Infinitely many positive solutions of semilinear elliptic problems via sub- and supersolutions

Comm. Partial Differential Equations, 18 (7 & 8): 1219-1229, 1993

 

5.

S. Maier

Non-convergent radial solutions of semilinear elliptic equations

Asymptotic Anal., 8: 363-377, 1994

 

6.

S. Maier

Radial solutions of semilinear elliptic equations with prescribed numbers of zeros

J. Differential Equations, 107(1): 175-205, 1994

 

7.

R. Lauterbach, S. Maier

Symmetry-breaking at non-positive solutions of semilinear elliptic equations

Arch. Rat. Mech. Anal., 126 (4): 299-331, 1994

 

8.

S. Maier-Paape

Selected Methods for Partial Differential Equations with Symmetry

Habilitationsschrift, Universität Augsburg, 217 pp., 1995

 

9.

S. Maier-Paape, K. Schmitt

Asymptotic behavior of solution continua for semilinear elliptic problems

Canad. Appl. Math. Quarterly, 4(2): 211-228, 1996

 

10.

T. Kapitula, S. Maier-Paape

Spatial dynamics of time periodic solutions for the Ginzburg-Landau equation

Z. Angew. Math. Phys., 47: 265-305, 1996

 

11.

R. Lauterbach, S. Maier-Paape, E. Reißner

A systematic study of heteroclinic cycles in dynamical systems with broken symmetries

Proc. Roy. Soc. Edinburgh, 126A: 885-909, 1996

 

12.

P.C. Fife, H. Kielhöfer, S. Maier-Paape, T. Wanner

Perturbation of doubly periodic solution branches with applications to the Cahn-Hilliard equation

Phys. D, 100(3-4): 257-278, 1997

 

13.

S. Maier-Paape, T. Wanner

Solutions of nonlinear planar elliptic problems with triangle symmetry

J. Differential Equations, 136(1): 1-34, 1997

 

14.

S. Maier-Paape, K. Schmitt, Z.-Q. Wang

On Neumann problems for semilinear elliptic equations with critical nonlinearity: existence and symmetry of multi-peaked solutions

Comm. Partial Differential Equations, 22(9 & 10): 1493-1527, 1997

 

15.

S. Maier-Paape, T. Wanner

Spinodal decomposition for the Cahn-Hilliard equation in higher dimensions. Part I: Probability and wavelength estimate

Comm. Math. Phys., 195: 435-464, 1998

 

16.

S. Maier-Paape

Convergence for radially symmetric solutions of quasilinear elliptic equations is generic

Math. Ann., 311: 177-197, 1998

 

17.

S. Maier-Paape, T. Wanner

Spinodal decomposition in the linear Cahn-Hilliard model

Z. Angew. Math. Mech., 78: 1003-1004, 1998

 

18.

S. Maier-Paape

Maximality of the hypercube group

Rocky Mountain J. Math., 29: 1455-1465, 1999

 

19.

S. Maier-Paape, T. Wanner

Spinodal decomposition for the Cahn-Hilliard equation in higher dimensions. Nonlinear Dynamics

Arch. Rat. Mech. Anal., 151: 187-219, 2000

 

20.

S. Maier-Paape, B. Stoth, T. Wanner

Spinodal decomposition for multi-component Cahn-Hilliard systems

J. Stat. Phys., 98: 871-896, 2000

 

21.

R. Lauterbach, S. Maier-Paape

Heteroclinic cycles for reaction diffusion systems by forced symmetry-breaking

Trans. Amer. Math. Soc., 352: 2937-2991, 2000

 

22.

C. Gugg, T.J. Healey, H. Kielhöfer, S. Maier-Paape

Nonlinear standing and rotating waves on the sphere

J. Differential Equations, 166: 402-442, 2000

 

23.

D. Blömker, S. Maier-Paape, T. Wanner

Spinodal decomposition for the stochastic Cahn-Hilliard equation

Proc. Equadiff 99, Vol. 2, 1265-1267, 2000

 

24.

S. Maier-Paape, E. Sander, T. Wanner

Spinodal decomposition: A survey of recent results

Proc. Equadiff 99, Vol 2, 1288-1299, 2000

 

25.

D. Blömker, S. Maier-Paape, T. Wanner

Surface roughness in molecular beam epitaxy

Stochastics Dynam., 1: 239-260, 2001

 

26.

C.M. Elliott, S. Maier-Paape

Losing a graph with surface diffusion

Hokkaido Mathematical Journal, 30: 297-305, 2001

 

27.

D. Blömker, S. Maier-Paape, T. Wanner

Spinodal decomposition for the Cahn-Hilliard-Cook equation

Comm. Math. Phys., 223: 553-582, 2001

 

28.

D. Blömker, S. Maier-Paape, T. Wanner

Roughness in surface growth equations

Interfaces and Free Boundaries, 3: 465-484, 2001

 

29.

D. Blömker, S. Maier-Paape, G. Schneider

The stochastic Landau equation as an amplitude equation

Discrete Contin. Dynam. Syst.-Series B., 1: 527-541, 2001

 

30.

S. Maier-Paape, U. Miller

Path-following the equilibria of the Cahn-Hilliard equation on the square

J. Comput. Visualization Sci., 5: 115-138, 2002

 

31.

D. Blömker, C. Gugg, S. Maier-Paape

Stochastic Navier-Stokes and renormalization group theory

Phys. D, 173: 137-152, 2002

 

32.

H. Garcke, S. Maier-Paape, U. Weikard

Spinodal decomposition in the presence of elastic interactions

In: Geometric Analysis and Nonlinear Partial Differential Equations, S. Hildebrandt und H. Karcher (eds.), Springer, 603-635, 2002

 

33.

D. Blömker, S. Maier-Paape

Pattern formation below criticality forced by noise

Z. Angew. Math. Phys., 54: 1-25, 2003

 

34.

S. Maier-Paape, B.E. Moore, E.S. van Vleck

Spinodal decomposition for spatially discrete Cahn-Hilliard equations

DCDIS Series A: Mathematical Analysis, 12: 529-554, 2005

 

35.

D. Blömker, S. Maier-Paape, T. Wanner

Phase separation in stochastic Cahn-Hilliard models

In: Mathematical Methods and Models in Phase Transitions, A. Miranville (ed.), 1-44, 2005

 

36.

C.M. Elliott, B. Gawron, S. Maier-Paape, E.S. van Vleck

Discrete dynamics for convex and non-convex smoothing functionals in PDE based image restoration

Comm. Pure Appl. Anal., 5: 181-200, 2006

 

37.

S. Maier-Paape, U. Miller

Connecting continua and curves of equilibria of the Cahn-Hilliard equation on the square

Discrete and Continuous dynamical systems, 15(4): 1137-1153, 2006

 

38.

S. Maier-Paape, K. Mischaikow, T. Wanner

Structure of the attractor of the Cahn-Hilliard equation on the square

International J. Bifur. Chaos Appl. Sci. Engrg., 17(4): 1221-1263, 2007

 

39.

D. Blömker, S. Maier-Paape, T. Wanner

Second phase spinodal decomposition for the Cahn-Hilliard-Cook equation

Trans. Amer. Math. Soc., 360(1): 449-489, 2008

 

40.

S. Maier-Paape, U. Miller, K. Mischaikow, T. Wanner

Rigorous numerics for the Cahn-Hilliard equation on the unit square

Rev. Mat. Complut., 21(2): 351-426, 2008

 

41.

S. Maier-Paape, W. Marquardt, A. Reusken, M. Speetjens

Stability analysis of two-dimensional pool-boiling systems

SIAM J. Appl. Dyn. Systems, 7(3): 933-961, 2008

 

42.

M. Barakat, S. Maier-Paape

Computation of connection matrices using the software package conley

International J. Bifurcation Chaos Appl. Sci. Engrg., 19(9): 3033-3056, 2009

 

43.

M. Barakat, S. Maier-Paape

Conley Index Theory

In: Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems, Budapest (Hungary), A. Edelmayer (ed.), 1645-1651, 2010

 

Preprints

1.

S. Maier-Paape, U. Miller

The set of equilibria for the Allen-Cahn equation on the square

Universität Augsburg, Report Nr. 420, 21 pp., 1999

 

2.

S. Maier-Paape, U. Miller

Rigorous numerics for partial differential equations using Conley index theory

12 pp., 2003

 

3.

S. Maier-Paape, U. Miller, K. Mischaikow, T. Wanner

Equilibria and attractor of the Cahn-Hilliard equation on the square

19 pp., 2005

 

Lecture Notes

S. Maier-Paape

The Cahn-Hilliard Equation

Lecture Script SS 96, Universität Augsburg, 52 pp., 1996

 

S. Maier-Paape

Partielle Differentialgleichungen

Partielle Differentialgleichungen, Vorlesungsskript SS 2004, RWTH Aachen University, 108 pp., 2005

 

S. Maier-Paape

Funktionalanalysis

Vorlesungsskript WS 2007/2008, RWTH Aachen University, 99 pp., 2008

 

S. Maier-Paape

Höhere Mathematik 4 für Physiker: Funktionalanalytische Grundlagen der Quantenmechanik

Vorlesungsskript SS 2016, RWTH Aachen University, 45 pp., 2016

 

Books

S. Maier-Paape

Höhere Mathematik I und II

Mainz-Verlag, 2006

 

S. Maier-Paape

Höhere Mathematik III und IV

Mainz-Verlag, 2007

 
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