Homepage for Ingo Witt
Postal address
Prof. Dr. Ingo Witt
Mathematical Institute
University of Göttingen
Bunsenstraße 3-5
D-37073 Göttingen
GERMANY
Phone: +49-551-397769
Email: iwitt AT mathematik.uni-goettingen.de
Office hours:
Wednesdays, 4-5 p.m., or by appointment.
My office is located in room 103.
Scientific interests
Analysis of partial differential equations, microlocal analysis, spectral and scattering theory
Doctoral students
- Matthias Krüger: On the Cauchy problem for a degenerate hyperbolic equation.
- Nguyen Thai Ngoc: Radiation conditions for periodic potentials.
- Liu Yingbo: Small data solutions of 2D quasilinear wave equations with null conditions (with Yin Huicheng, Nanjing).
- Robin Spratte: Stochastic Schrödinger equations.
All are stipendiaries of/are affiliated to the Research Training Group 1493: Mathematical Structures in Modern
Quantum Physics.
A list of my former doctoral students is here.
Master students
A list of my former master and diploma students is here.
Current research projects
Books edited
- Quantization, PDEs, and Geometry. The Interplay of Analysis and Mathematical Physics. Oper. Theory Adv. Appl., vol. 251, Birkhäuser/Springer, Basel, 2015 (with D. Bahns and W. Bauer).
- Partial Differential Equations and Spectral Theory. Oper. Theory Adv. Appl., vol. 211, Birkhäuser, Basel, 2011 (with M. Demuth and B.-W. Schulze).
- Aspects of Boundary Problems in Analysis and Geometry. Oper. Theory Adv. Appl., vol. 151, Birkhäuser, Basel, 2004 (with J. Gil and T. Krainer).
Recent papers and preprints
- On the global solution problem for semilinear generalized Tricomi equations, I, to appear in Calc. Var. Partial Differential Equations (with He Daoyin and Yin Huicheng).
- Blowup time and blowup mechanism of small data solutions to general 2-D quasilinear wave equations, to appear in Commun. Pure Appl. Anal. (with Ding Bingbing and Yin Huicheng).
- The small data solutions of general 3-D quasilinear wave equations. II. J. Differential Equations 261 (2016), 1429-1471 (with Ding Bingbing and Yin Huicheng).
- On the existence of low-regularity solutions of semilinear generalized Tricomi equations in mixed-type domains. J. Differential Equations 259 (2015), 7406-7462 (with Ruan Zhuoping and Yin Huicheng).
- The existence and singularity structure of low regularity solutions to higher order degenerate hyperbolic equations. J. Differential Equations 256 (2014), 407-460 (with Ruan Zhuoping and Yin Huicheng).
- The global smooth symmetric solution to 2-D full compressible Euler system of Chaplygin gases. J. Differential Equations 258 (2015), 445-482 (with Ding Bingbing and Yin Huicheng).
- Blowup of classical solutions for a class of 3-D quasilinear wave equations with small initial data. Differential Integral Equations 28 (2015), 941-970 (with Ding Bingbing and Yin Huicheng).
- Liouville theorem for the nonlinear Poisson equation on manifolds. J. Math. Anal. Appl. 416 (2014), 800-804 (with Ma Li).
- On the existence and cusp singularity of solutions to semilinear generalized Tricomi equations with discontinuous initial data. Commun. Contemp. Math. 17 (2015), 1450028, 49 pp. (with Ruan Zhuoping and Yin Huicheng).
- On the lifespan and the blowup mechanism of smooth solutions to a class of 2-D nonlinear wave equations with small initial data. Quart. Appl. Math. 73 (2015), 773-796 (with Ding Bingbing and Yin Huicheng).
- On the blowup and lifespan of smooth solutions to a class of 2-D nonlinear wave equations with small initial data. Quart. Appl. Math. 73 (2015), 219-251 (with Li Jun and Yin Huicheng).
- On the global existence and stability of a multi-dimensional supersonic conic shock wave. Comm. Math. Phys. 329 (2014), 609-640 (with Li Jun and Yin Huicheng).
- Minimal regularity solutions of semilinear generalized Tricomi equations, arXiv:1608.01826 (with Ruan Zhuoping and Yin Huicheng).
- Small data solutions of 2-D quasilinear wave equations under null conditions (with Liu Yingbo and Yin Huicheng).
- On the global existence and blowup of smooth solutions of 3-D compressible Euler equations with time-depending damping, arXiv:1510.04613 (with Hou Fei and Yin Huicheng).
- Global multidimensional shock waves for 2-D and 3-D unsteady potential flow equations, arXiv:1310.3470 (with Li Jun and Yin Huicheng).
- Discrete Morse flow for Ricci flow and porous media equation, arXiv:1203.2225 (with Ma Li).
- Stability of Hamilton's cigar soliton, arXiv:1112.6073 (with Ma Li).
Most preprints are available from the arXiv.
Colloquia and seminars meeting every (or every second) week
Recent and upcoming events
- Summer School on "Spectral Geometry," Göttingen, Sep 9-12, 2014 (Organizers: E. Schrohe, I. Witt).
Additional materials can be found here.
- North German Analysis Colloquium, Hannover, Jan 14, 2015 (Organizers: D. Grieser, E. Schrohe, I. Witt).
- Workshop "Geometric and Singular Analysis," Potsdam, Feb 9-13, 2015 (Organizers: W. Bauer, S. Coriasco, K. Furutani, S. Paycha, L. Rodino, B.-W. Schulze, B. Vertman, I. Witt).
- Workshop "Physique-mathématique, géométrie, graphes et dynamique semiclassique", Peyresq, May 24-30, 2015.
- Summer School on "Eigenfunction Estimates and Related Topics," Marburg, Jul 7-10, 2015 (Organizers: A. Pohl, P. Ramacher, I. Witt).
- Summer School on "Thermodynamic Formalism and Transfer Operator Method," Göttingen, Sep 14-18, 2015 (Organizers: D. Bahns, A. Pohl, P. Ramacher, I. Witt). First in a series of summer schools "Dynamical Approaches in Spectral Geometry" within the framework of the Göttingen SPIRIT Program.
- Workshop "Analysis and PDE," Hannover, Sep 29-Oct 1, 2015.
- Workshop "Geometric and Singular Analysis," Potsdam, Mar 7-11, 2016 (Organizers: W. Bauer, K. Furutani, S. Paycha, L. Rodino, R. Schulz, B.-W. Schulze, J. Seiler, I. Witt).
- Lecture series "Introduction to Microlocal Analysis and Singular Analysis," NNU Nanjing, Sep 28 - Oct 14, 2016. Lecture notes will be made available soon.
- Winter School on "Dynamical Methods in Open Quantum Systems," Göttingen, Nov 16-19, 2016 (Organizers: D. Bahns, A. Pohl, I. Witt).
Second in a series of summer schools "Dynamical Approaches in Spectral Geometry" within the framework of the Göttingen SPIRIT Program.
- Workshop "Geometric and Singular Analysis," Potsdam, Feb 20-25, 2017 (Organizers: S. Azzali, W. Bauer, S. Coriasco, K. Furutani, S. Paycha, R. Schulz, B.-W. Schulze, J. Seiler, I. Witt).
- International Conference on Mathematical Modeling, Special Session "Clifford, Quaternionic and Harmonic Analysis, PDE and Applications," Yakutsk, Jul 5-10, 2017.
Teaching/Lehre
- Skript zur Vorlesung "Differenzial- und Integralrechnung I", WiSe 2011/12
- Skript zur Vorlesung "Differenzial- und Integralrechnung II", SoSe 2012
- Skript zur Vorlesung "Differenzial- und Integralrechnung III", (noch) WiSe 2008/09
Alle Skripten müssen korrekturgelesen werden.
- Sommerschule "Periodic Structures in Applied Mathematics", Mathematisches Institut, 18.-31. August 2013.
Die Schule richtete sich an Studierende im dritten und vierten Jahr. Auf analytischer Seite ging es unter anderem um die Spektral- und Streutheorie von Differenzialoperatoren mit periodischen Koeffizienten.