The Institut Élie Cartan
UMR-CNRS 7502
Pierre-A. Vuillermot, Ph.D.,
Professor of Mathematics
Université de Lorraine
Professor of Mathematics
Université de Lorraine
B.P.
239
Abridged Curriculum Vitae
Office 402
F-54506 Vandoeuvre-lès-Nancy Cedex
(FRANCE)
Telephone: +33(0)383 684 592
Fax: +33(0)383 684 534
pierre.vuillermot@univ-lorraine.fr
Secretary: Mrs. Élodie Cunat
Telephone: +33(0)383 684 566
Fax: +33(0)383 684 534
elodie.cunat@univ-lorraine.fr
Current Fields of Research: Stochastic Partial Differential Equations, Random Dynamical Systems, Mathematical Physics.
Selected Honors and Awards: Fellow of the Max Planck Society, MPI, Bonn (academic years 1989-1991).
Research Professorship Award, MSRI, Berkeley (academic year 1997-1998, stochastic analysis program).
Six Selected Publications: Global Exponential Attractors for a Class of Almost-Periodic Parabolic Equations on RN, Proc. Amer. Math. Soc. 116 ( 1992) 775-782.
With B. Bergé and I. D. Chueshov: On the Behavior of Solutions to Certain Parabolic SPDEs driven by Wiener Processes, Stochastic Processes and Their Applications 92 (2001) 237-263.
With M. Sanz-Solé: Equivalence and Hölder-Sobolev Regularity of Solutions for a Class of Non-Autonomous Stochastic Partial Differential Equations, Ann. I. H. Poincaré-PR 39 (2003) 703-742.
With D. Nualart: Variational Solutions for Partial Differential Equations driven by a Fractional Noise, Journal of Functional Analysis 232 (2006) 390-454.
A Generalization of Chernoff's Product Formula for Time-Dependent Operators, Journal of Functional Analysis 259 (2010) 2923-2938.
With W. F. Wreszinski: Product Approximations for Solutions to a Class of Evolution Equations in Hilbert Space, Portugaliae Mathematica 68 (2011) 317-343.
Six Selected Invited Lectures and Courses: A Class of Elliptic Partial Differential Equations with Exponential Nonlinearities, AMS-Summer School on Nonlinear Functional Analysis and its Applications, UCB, Berkeley (1983).
Smooth Manifolds for Nonlinear Klein-Gordon Equations in the Presence of Small Divisors, International Conference on Nonlinear Hyperbolic Equations, Varenna (1990).
A Geometric Theory of Semilinear Almost-Periodic Parabolic Partial Differential Equations on RN, Summer School Course on the Qualitative Aspects and Applications of Nonlinear Evolution Equations, International Center of Theoretical Physics, Trieste (1990).
Some Recent Results on Fractional Partial Differential Equations, International Conference on Stochastic Partial Differential Equations, SNP, Pisa (2006).
New Developments in Stochastic Partial Differential Equations, Second US-Chile Workshop on New Developments in Partial Differential Equations, Santiago de Chile (2008).
Inhomogeneous Bernstein Diffusions and Parabolic Equations: Some Recent Results, Semester Program on Stochastic Analysis and Applications, EPFL, Lausanne (2012).
Most Recent Preprints: With J. C. Zambrini: Bernstein Diffusions for a Class of Linear Parabolic Partial Differential Equations, IECN-Preprint 02 (2012).
Office 402
F-54506 Vandoeuvre-lès-Nancy Cedex
(FRANCE)
Telephone: +33(0)383 684 592
Fax: +33(0)383 684 534
pierre.vuillermot@univ-lorraine.fr
Secretary: Mrs. Élodie Cunat
Telephone: +33(0)383 684 566
Fax: +33(0)383 684 534
elodie.cunat@univ-lorraine.fr
Current Fields of Research: Stochastic Partial Differential Equations, Random Dynamical Systems, Mathematical Physics.
Selected Honors and Awards: Fellow of the Max Planck Society, MPI, Bonn (academic years 1989-1991).
Research Professorship Award, MSRI, Berkeley (academic year 1997-1998, stochastic analysis program).
Six Selected Publications: Global Exponential Attractors for a Class of Almost-Periodic Parabolic Equations on RN, Proc. Amer. Math. Soc. 116 ( 1992) 775-782.
With B. Bergé and I. D. Chueshov: On the Behavior of Solutions to Certain Parabolic SPDEs driven by Wiener Processes, Stochastic Processes and Their Applications 92 (2001) 237-263.
With M. Sanz-Solé: Equivalence and Hölder-Sobolev Regularity of Solutions for a Class of Non-Autonomous Stochastic Partial Differential Equations, Ann. I. H. Poincaré-PR 39 (2003) 703-742.
With D. Nualart: Variational Solutions for Partial Differential Equations driven by a Fractional Noise, Journal of Functional Analysis 232 (2006) 390-454.
A Generalization of Chernoff's Product Formula for Time-Dependent Operators, Journal of Functional Analysis 259 (2010) 2923-2938.
With W. F. Wreszinski: Product Approximations for Solutions to a Class of Evolution Equations in Hilbert Space, Portugaliae Mathematica 68 (2011) 317-343.
Six Selected Invited Lectures and Courses: A Class of Elliptic Partial Differential Equations with Exponential Nonlinearities, AMS-Summer School on Nonlinear Functional Analysis and its Applications, UCB, Berkeley (1983).
Smooth Manifolds for Nonlinear Klein-Gordon Equations in the Presence of Small Divisors, International Conference on Nonlinear Hyperbolic Equations, Varenna (1990).
A Geometric Theory of Semilinear Almost-Periodic Parabolic Partial Differential Equations on RN, Summer School Course on the Qualitative Aspects and Applications of Nonlinear Evolution Equations, International Center of Theoretical Physics, Trieste (1990).
Some Recent Results on Fractional Partial Differential Equations, International Conference on Stochastic Partial Differential Equations, SNP, Pisa (2006).
New Developments in Stochastic Partial Differential Equations, Second US-Chile Workshop on New Developments in Partial Differential Equations, Santiago de Chile (2008).
Inhomogeneous Bernstein Diffusions and Parabolic Equations: Some Recent Results, Semester Program on Stochastic Analysis and Applications, EPFL, Lausanne (2012).
Most Recent Preprints: With J. C. Zambrini: Bernstein Diffusions for a Class of Linear Parabolic Partial Differential Equations, IECN-Preprint 02 (2012).