Homepage
for
Michael Pedersen
for
Michael Pedersen
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