Deutsche Version

Dr. Jan-Steffen Müller (AG Fuchs)

Saarland University
Campus
Building E2 4, Room 434
66123 Saarbruecken, Germany

Postal address:

Departement 6.1 - Mathematics
Postbox 151150
D-66041 Saarbruecken, Germany


Tel.: +49 0681 / 302-2056
Fax.: +49 0681 / 302-3824

E-mail: jmueller@math.uni-sb.de

Curriculum vitae

Research interests

• Variational problems with non-standard growth and their applications in image analysis and fluid mechanics
• Regularity theory of elliptic pde's, Liouville- und Bernstein-type theorems
• Variational problems with a background in geometric measure theory

Publications:

• A density result for Sobolev functions and functions of higher order bounded variation with additional integrability constraints, Ann. Acad. Sci. Fenn. Math. 41 (2016), 789-801.     Preprint Version
• (With M. Bidhauer, M. Fuchs, C. Tietz) On the solvability in Sobolev spaces and related regularity results for a variant of the TV-image recovery model: the vector-valued case, J. Elliptic Parabol. Equ. (2016) 2: 341-355.     Preprint Version
• (With M. Fuchs) A higher order TV-type variational problem related to the denoising and inpainting of images, Nonlinear Anal. 154 (2017), 122–147.     Preprint Version
• (With M. Fuchs, C. Tietz) Signal recovery via TV-type energies, Algebra i Analiz 29 (2017), no. 4, 159–195.     Preprint Version
• (With M. Fuchs, C. Tietz, J. Weickert) Convex regularization of multi-channel images based on variants of the TV-model, to appear in Complex Var. Elliptic Equ.    Preprint Version
• A coupled variational problem of linear growth related to the denoising and inpainting of images, J. Math. Sci. (2017) 224: 709-734     Preprint Version
• (With M. Bildhauer, M. Fuchs, X. Zhong) On the local boundedness of generalized minimizers of variational problems with linear growth, to appear in Ann. Mat. Pura Appl. (1923-).     Preprint Version
• (With M. Fuchs) A remark on denoising of greyscale images using energy densities with varying growth rates, J. Math. Sci. (2018) 228: 705-722.     Preprint Version
• (With M. Bildhauer, M. Fuchs) A reciprocity principle for constrained isoperimetric problems and existence of isoperimetric subregions in convex sets, to appear in Calc. Var.    Preprint Version

Preprints:

• (With C. Tietz) Existence and almost everywhere regularity of generalized minimizers for a class of variational problems with linear growth related to image inpainting (2015)
• (With M. Bildhauer, M. Fuchs) Existence and Regularity for Stationary Incompressible Flows with Dissipative Potentials of Linear Growth (2018)
• (With M. Fuchs) A Liouville theorem for stationary incompressible fluids of von Mises type (2018)

Theses:

• PHD thesis: "Regularity Aspects of a Higher-Order Variational Approach to the Denoising and Inpainting of Images with TV-type Energies",   Saarland University, November 2017

Conferences and talks:

• February 8-12, 2016  School and Workshop "PDEs and applications", University of Naples "Federico II" (Minitalk)
• July 11-15, 2016  The total variation flow and related nonlinear evolution problems,University of Salzburg (as participant)
• July 24, 2017  Talk "optimal geometric structures" for the open day at Saarland University

Teaching

As teaching assistant:
• Calculus of Variations, Summer term 2015
• Advanced mathematics for engineers I, Winter term 2015/16
• Advanced mathematics for engineers II, Summer term 2016
• Differential geometry, Summer term 2016
• Calculus I, Winter term 2016/17
• Calculus II, Summer term 2017
• Calculus III, Winter term 2017/18