Research interests
- Elliptic operators and form methods
- Spectral theory
- Irregular domains and trace theorems
- Operator theory
My research profiles: | | |
Dr. Manfred Sauter
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More recently
- WS 2024/25: Mathematics III (for Physics, Electrical/Chemical Engineering, Computational Science and Engineering)
- SS 2024: Mathematics II (for Physics, Electrical/Chemical Engineering, Computational Science and Engineering)
- SS 2024: Elements of Complex Analysis
- WS 2023/24: Mathematics I (for Physics, Electrical/Chemical Engineering, Computational Science and Engineering)
- SS 2023: Linear Algebra I
- SS 2023: Introduction to Geometric Analysis (Bachelor's & Master's Analysis seminar)
Other
- Analysis II (Real analysis in several dimensions) in WS 2022/23, WS 2021/22
- Analysis I (Real analysis in one dimension) in SS 2022, SS 2021
- Advanced Mathematics and Statistics for Management and Economics in SS 2022, SS 2021
- Mathematics for Management and Economics in WS 2020/21
- Analysis II for Engineering and Computer Science WS 2020/21
- Analysis I for Engineering and Computer Science in SS 2020
- Linear Algebra for Engineering and Computer Science in WS 2019/20
- Elements of Topology in SS 2020
- Local coordinator for International Internet Seminar for ISEM 28, ISEM 27, ISEM 26, ISEM 25, ISEM 24, ISEM 23, ISEM 20, ISEM 19
- Trainingscamp 鈥濬it in Mathematik鈥� October 2020, September 2019
- PASST! for Analysis 1 and Linear Algebra 1 from SS 2017 to SS 2019
- Academic assistant Measure theory WS 2016/17
- Geometric analysis WS 2015/16
- Academic assistant Partial differential equations in SS 2014, SS 2015
- Applied analysis WS 2013/14, WS 2014/15
Publications
- W. Arendt, M. Sauter: Maximal regularity for generalized boundary conditions in time, preprint 2025.
() - W. Arendt, A.F.M. ter Elst, M. Sauter: The Perron solution for elliptic equations without the maximum principle, Math. Ann. 390, 763鈥�810 (2024).
(, ) - W. Arendt, M. Sauter: The Wentzell Laplacian via forms and the approximative trace, Discrete Contin. Dyn. Syst. Ser. S17 (2024), no. 5-6, 1750鈥�1765.
(, ) - W. Arendt, A.F.M. ter Elst, M. Sauter: Nittka's invariance criterion and Hilbert space valued parabolic equations in L鈧�, Arch. Math. (Basel) 121 (2023), no. 5-6, 731鈥�744.
(, ) - M. Sauter: Uniqueness of the approximative trace, Indiana Univ. Math. J. 69 (2020), no. 1, pp. 171鈥�204.
(, ) - A.F.M. ter Elst, M. Sauter: Nonseparability and von Neumann's theorem for domains of unbounded operators, J. Operator Theory 75 (2016), no. 2, 367鈥�386.
(, ) - A.F.M. ter Elst, M. Sauter, H. Vogt: A generalisation of the form method for accretive forms and operators, J. Funct. Anal. 269 (2015), no. 3, 705鈥�744.
(, ) - W. Arendt, A.F.M. ter Elst, J.B. Kennedy, M. Sauter: The Dirichlet-to-Neumann operator via hidden compactness, J. Funct. Anal. 266 (2014), no. 3, 1757鈥�1786.
(, ) - M. Sauter: Degenerate elliptic operators with boundary conditions via form methods, PhD dissertation (The University of Auckland), 2013.
( Open Access) - A.F.M. ter Elst, M. Sauter: The regular part of second-order differential sectorial forms with lower-order terms, J. Evol. Equ. 13 (2013), no. 4, 737鈥�749.
(, ) - A.F.M. ter Elst, M. Sauter, J. Zem谩nek: Generation and commutation properties of the Volterra operator, Arch. Math. (Basel) 99 (2012), no. 5, 467鈥�479.
(, ) - A.F.M. ter Elst, M. Sauter: The regular part of sectorial forms, J. Evol. Equ. 11 (2011), no. 4, 907鈥�924.
(, ) - D. Kunszenti-Kov谩cs, R. Nittka, M. Sauter: On the limits of Ces脿ro means of polynomial powers, Math. Z. 268 (2011), no. 3-4, 771鈥�776.
(, ) - R. Nittka, M. Sauter: , Electron. J. Diff. Eqns., Vol. 2008(2008), no. 42, pp. 1鈥�31.
() - M. Sauter: Minimality of the first Eigenvalue of the Laplacian in Dependence of the Domain, Diploma thesis (午夜探花), 2008.
- Co-organizer (together with W. Arendt and R. Zacher) of the Mini-KConference Elliptic and parabolic equations: interplay of asymptotics, regularity and geometry, 午夜探花, 19鈥�21 June 2023.
- Co-organizer (together with A. Dall'Acqua, E. Wiedemann and R. Zacher) of the Winter School Gradient Flows and Variational Methods in PDEs, 午夜探花, 25鈥�29 November 2019.
- Co-publisher (together with W. Arendt, J. Gl眉ck and R. Zacher) of the preprint magazine Ulmer Seminare 2016/2017, Anniversary Issue 20; also responsible for correspondence, techincal realization and distribution.
- M. Sauter: How twisted can a Jordan curve be?, Ulmer Seminare, Heft 20 (2016/2017), pp. 133鈥�140. (PDF)
Update 2020: gives a solution for the problem in his preprint . - S. Fackler, J. Gl眉ck, M. Sauter: On continuously embedded Banach spaces, Ulmer Seminare, Heft 20 (2016/2017), pp. 19鈥�20.
- S. Fackler, J. Gl眉ck, M. Sauter: A simple proof for Bernstein鈥檚 inequality, Ulmer Seminare, Heft 19 (2014), p. 337.
- R. Nittka, M. Sauter: Implementation of a Sobolev gradient mathod for differential algebraic equations, 2008.
Dr. Manfred Sauter
__________________Dr.__________Manfred__________Sauter_________
________________
___
___Office hours: on appointment
_____
______
__Institute of Applied Analysis
__午夜探花
_______午夜探花
____89069____Ulm___
______Germany
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Room:
Helmholtzstra脽e 18 2.06
Phone:
+49(0)731/50-23592