Walter Hoh

Veranstaltungen Sommersemester 2012

Mathematik für Naturwissenschaften II

Veranstaltungen Wintersemester 2011/12

Mathematik für Naturwissenschaften I

Veranstaltungen Sommersemester 2011

Mathematische Methoden der Physik II

Bachelorseminar Spieltheorie

Veranstaltungen Wintersemester 2010/11

Operations Research

Veranstaltungen Sommersemester 2010

Mathematische Methoden der Physik II

Veranstaltungen Wintersemester 2009/10

Spezielle Aspekte der Mathematik / Differentialgleichungen

Veranstaltungen Sommersemester 2009

Mathematik für Informatiker II / Analysis

Bachelorseminar zur Stochastik

Veranstaltungen Wintersemester 2008/09

Operations Research

Mathematik für Informatiker I / Analysis

Veranstaltungen Sommersemester 2008

Analysis C

Seminar Dualtitï¿œtstheorie in der Nichtlinearen Optimierung

Veranstaltungen Wintersemester 2007/08

Analysis II

Proseminar Fourierreihen

Veranstaltungen Sommersemester 2007

Analysis I

Pseudo-differential operators and Markov processes

Proseminar Nichtlineare Optimierung

Veranstaltungen Wintersemester 2006/07

Operations Reasearch A

Sprungprozesse

Veranstaltungen Sommersemester 2006

Mathematik fï¿œr Informatiker II

Levy-Prozesse

Veranstaltungen Wintersemester 2005/06

Mathematik fï¿œr Informatiker I

Singulï¿œre Integraloperatoren

Publications

• Quelques remarques sur la thï¿œorie du potentiel d'ï¿œquation de A.N. Kolmogorov.
  C.R.Acad.Sci. Paris 310 (1990) 657-659 (with N. Jacob).

• On the potential theory of the Kolmogorov equation.
  Math.Nachr. 154 (1991) 51-66 (with N. Jacob).
  

• Remarks on mean value properties of solutions of second order differential operators.
  Expo.Math. 9 (1991) 367-377 (with N. Jacob).
  

• On some translation invariant balayage spaces.
  Comment.Math. Univ.Carolinae 32 (1991) 471-478 (with N. Jacob).
  

• Some Dirichlet forms generated by pseudo differential operators.
  Bull. Sc. Math. 116 (1992) 383-398 (with N. Jacob).
  

• Some commutator estimates for pseudo differential operators with negative definite functions as symbols.
  Integr.Equat.Oper.Th. 17 (1993) 46-53.
  

• Das Martingalproblem fï¿œr eine Klasse von Pseudodifferentialoperatoren.
  PhD-Thesis, Universitï¿œt Erlangen--Nï¿œrnberg (1992) 87 pages.
  

• The martingale problem for a class of pseudo differential operators.
  Math.Ann. 300 (1994) 121-147.
  

• Pseudodifferential operators, Feller semigroups and the martingale problem.
  Stochastic Processes and Optimal Control, edited by H.J. Engelbert, I. Karatzas, M. Rï¿œckner,
  Stochastic Monographs, Vol.7, Gordon and Breach (1993) 95-103 (with N. Jacob).
  

• Pseudo differential operators with negative definite symbols and the martingale problem.
  Stochastics and Stochastic Reports 55 (1995) 225-252.
  

• Upper bounds and conservativeness for semigroups associated with a class of Dirichlet forms
  generated by pseudo differential operators. Forum Math. 8 (1996) 107-120 (with N. Jacob).
  

• Feller semigroups generated by pseudo differential operators.
  Intern. Conf. Dirichlet forms and Stoch. Processes, Walter deGruyter Verlag 1995, 199-206.
  

• On the Dirichlet problem for pseudo differential operators generating Feller semigroups.
  J.Funct.Anal. 137, No.1 (1996) 19-48 (with N. Jacob).
  

• Un calcul symbolique pour des opï¿œrateurs pseudo-diffï¿œrentiels
  engendrant des semigroupes de Feller. C.R. Acad. Sci. Paris, t.325, Sï¿œrie I (1997) 1121-1124.
  

• A symbolic calculus for pseudo differential operators generating Feller semigroups.
  Osaka J.Math. 35, No.4 (1998) 789-820.
  

• Pseudo differential operators generating Markov processes.
  Habilitationsschrift, Bielefeld 1998, 154 pages.
  

• Pseudo differential operators with negative definite symbols of variable order.
  Rev. Mat. Iberoamericana 16.2 (2000) 219-241.
  

• On perturbations of pseudo differential operators with negative definite symbol.
  Appl.Math.Optim. 45 (2002) 269-281.
  

• On L^p-semigroups, capacities, and balayage.
  Mini-proceedings 2nd MaPhySto Conference on Lï¿œvy Processes: Theory and Applications (2002) 133-137.
  

• Towards an L^p-potential theory for sub-Markovian semigroups: Variational inequalities and balayage theory.
  Journal of Evolution Equations 4 (2004), 297-312 (with N. Jacob).
  

• Hï¿œlder-continuity of harmonic functions associated to pseudo differential operators with negative definite symbol.
  To appear in RIMS Proceeding Stochastic Analysis and Applications, (2007). (pdf)
  

• Pseudo differential operators and jump processes with hyperbolic distributions.
  Preprint (2007)