Homepage for Michael Pedersen

Department of Mathematics, DTU

Monographs:

"Functional Analysis in Applied Mathematics and Engineering." Chapmann & Hall/CRC, 1999. (298pp)

Publications in International Journals
and Conference Proceedings with Peer Review:

"Stabilization of partial differential equations by finite-dimensional boundary feedback control: A pseudodifferential approach." Proceedings of the First Workshop on Stabilization of Flexible Structures, Ed.: J.P.Zolezio, Montpellier, 1987, p.217-236.
"Boundary feedback stabilization of distributed parameter systems: An application of pseudodifferential operators." Proceedings of the 27th IEEE Conference on Decision and Control, Austin, Texas, 1988, p.366-368
"Recognition of boundary feedback systems." Proceedings of the 28th IEEE Conference on Decision and Control, Tampa, Florida, 1989, p.2039-2041.
"Singular perturbations of distributed systems." Proceedings of the 29th IEEE Conference on Decision and Control, Honolulu, Hawaii, 1990.
"Symbolic boundary calculus and feedback operators." Proceedings from the International Conference on Control and Estimation of Distributed Parameter Systems, Vorau, Austria, 1990, Birkhäuser, Basel.
"Pseudo-differential perturbations and stabilization of distributed parameter systems: Dirichlet feedback control problems." SIAM Journal on Control and Optimization, Vol.29, No.1, 1991, p.222-252.
"Symbolic boundary calculus and feedback operators." International Series of Numerical Mathematics Vol.100, 1991, p.265-272.
"Regularity of pointwise boundary control systems." Journal of Differential and Integral Equations, Vol.5, No.1, 1992, p.137-148.
"State-space representation of non-local boundary value problems." Journal of Mathematical Systems, Estimation and Control, Vol.2, No.2, 1992, p.237-244.
"Microlocal methods in the analysis of the boundary element method." Proceedings of the 10th International Conference on Analysis and Optimization of Systems, Sophia-Antipolis, France, 1992. p.467-476.
"A pseudodifferential approach to distributed parameter systems and stabilization: Neumann feedback control problems." Journal of Mathematical Analysis and Applications, Vol.174, No.2, 1993, p.589-613.
"Regularities and pseudodifferential symbols of boundary layer operators for elastostatic thin Kirchoff biharmonic plate."(With G.Chen) Proceedings of the Sino-Japanese Joint Workshop on Operator Theory and Differential Equations, Academica Sinica, Taipei, 1994, p.21-47.
"Some nonlinear effects in boundary control." Proceedings of the AMS Conference on Partial Differential Equations and Control, College Station, Texas, 1995.
"Teaching advanced subjects." Proceedings from the International Conference on the Teaching of Mathematics, Samos, Greece, 1998.
"Stationary patterns in one-predator, two-prey models." (With L.Zhigui) Differential and Integral Equations, Vol.14, No.5, 2001, p.605-612.
"Coupled diffusion systems with localized nonlinear reactions." (With L.Zhigui) Computers and Mathematics with Applications, Vol. 42, 2001, p.807-816.
"Blow-up analysis for a system of heat equations coupled through a nonlinear boundary condition." (With L.Zhigui) Applied Mathematics Letters, Vol.14, 2001, p.171-176.
"The matrix nonlinear Schrödinger equation in dimension 2."(With Z.Liu) Journal of Mathematical Analysis and Applications, Vol.262, 2001, p.388-399.
"Blow-up estimates of the positive solution of a parabolic system." (With L.Zhigui) Journal of Mathematical Analysis and Applications, Vol.255, 2001, p.551-563.
"The profile near blowup time for solutions of diffusion systems coupled with localized nonlinear reactions." (With L.Zhigui) Nonlinear Analysis, Vol.50, 2002, p.1013-1024.
"Coexistence of a general elliptic system in population dynamics." (With L.Zhigui) Computers and Mathematics with Applications, Vol.48, 2004, p.617-628.
"Stability in a diffusive food-chain model with Michaelis-Menten functional response." (With L.Zhigui) Nonlinear Analysis, Vol.57, 2004, p.421-433.
"Coexistence of two species in a strongly cooperative model."(With Z.Ling) .To appear in Computers and Mathematical Modelling.
"Well-posedness of abstract hyperbolic models with time-dependent damping." To appear in I. Journal of Pure and Applied Mathematics.

Work in Progress:

"Boundary Control Problems in Applied Mathematics - Control of Thin Plates." (200 pp.)
"The Hilbert Uniqueness Method in a Linear Systems Perspective - A Pseudodifferential Approach." (35pp.)

Research Notes:

"A note on the action of the Poisson solution operator to the Dirichlet problem for a formally selfadjoint differential operator." IMFUFA tekst nr.155, Roskilde University Centre, 1988.
"An elementary analysis of the time dependent spectrum of the non-stationary solution to the operator Riccati equation." IMFUFA tekst nr. 175, Roskilde University Centre, 1989.
"Stabilization of boundary feedback partial differential equations, part I." Mat-report no.1990-13, Department of Mathematics, DTH.
"Stabilization of boundary feedback partial differential equations, part II." Mat-report no.1990-14, Department of Mathematics, DTH.
"Regularity of boundary control systems." Mat-report no.1990-18, Department of Mathematics, DTH.
"A pseudodifferential approach to distributed parameter systems and stabilization: Neumann feedback control problems." Mat-report no.1991-2, Department of Mathematics, DTH.
"Fourier analysis and mapping properties of boundary layer integral operators, part I." Mat-report no.1991-11, Department of Mathematics, DTH.
"Fourier analysis and mapping properties of boundary layer integral operators, part II." Mat-report no.1991-17, Department of Mathematics, DTH.
"Fourier analysis and mapping properties of boundary layer integral operators, part III." Mat-report no.1992-11, Department of Mathematics, DTH.
"Regularities and pseudodifferential symbols of boundary layer operators for elastostatic thin plates and shells."(With G.Chen) Mat-report no.1994-3, Department of Mathematics, DTH.

Thesis:

"Some Contributions to the Theory of Control for Parabolic and Hyperbolic Boundary Value Problems." IMFUFA, RUC, 1990