Publications of Markus Poppenberg

  1. Diploma, Dortmund 1985: Unterräume von (s) in der linear-zahmen Kategorie (136 pages).
  2. Thesis, Dortmund 1988: Unterräume und Quotienten von (s) in der zahmen Kategorie (131 pages).
  3. Habilitationsschrift, Dortmund 1994: Der Satz über Inverse Funktionen in einigen Klassen von Frécheträumen (173 pages).
  4. Characterization of the subspaces of (s) in the tame category, Archiv Math. 54, 274 – 283 (1990).
  5. Characterization of the quotient spaces of (s) in the tame category, Math. Nachr. 150, 127 – 141 (1991).
  6. A sufficient condition of type (W) for tame splitting of short exact sequences of Fréchet spaces, Manuscripta Math. 72, 257 – 274 (1991).
  7. Simultaneous smoothing and interpolation with respect to E. Borel's Theorem, Arch. Math. 61, 150 – 159 (1993).
  8. with D. Vogt: Tame Splitting Theory for Fréchet-Hilbert spaces, pp. 475 – 492 in: Functional analysis: Lect. notes in pure and applied math. 150. Marcel Dekker: New York Basel Hong Kong 1994.
  9. with D. Vogt: A Tame Splitting Theorem for Exact Sequences of Fréchet Spaces, Math. Zeitschrift 219, 141 – 161 (1995).
  10. with D. Vogt: Construction of standard exact sequences of power series spaces, Studia Mathematica 112, 229 – 241 (1995).
  11. Tame subspaces of power series spaces, pp. 365 – 375 in: Proceedings of the first international workshop on functional analysis at Trier University, de Gruyter: Berlin 1996.
  12. Properties (DN)(j ,y ) and (W)(j ,y ) for Fréchet spaces, Archiv Math. 66, 388 – 396 (1996).
  13. Tame sequence space representations of spaces of C₯ -functions, Results in Math. 29, 317 – 334 (1996).
  14. An inverse function theorem for Fréchet spaces admitting generalized smoothing operators, Mich. Math. J. 43, 367 – 388 (1996).
  15. A smoothing property for Fréchet spaces, J. Functional Analysis 142, 193 – 210 (1996).
  16. Negative results on the Nash-Moser theorem in Köthe spaces and in spaces of ultradifferentiable functions, Manuscripta Math. 90, 465 – 478 (1996).
  17. On a generalized implicit function theorem for Fréchet spaces, pp. 138 – 151 in: Linear Topological Spaces and Complex Analysis III, Metu-Tübitak 1998.
  18. On the Cauchy problem for nonlinear evolution equations and regularity of solutions, pp. 13 – 28 in: Proceedings of the Second International Workshop on Functional Analysis at Trier University, Note di Matematica 17, 1997.
  19. An inverse function theorem for Fréchet spaces satisfying a smoothing property and (DN), Math. Nachr. 206, 123 – 145 (1999).
  20. mit H. Lange, H. Teismann: Nonlinear singular Schrödinger type equations, pp. 113 – 128 in: Nonlinear Theory of Generalized Functions, Res. Notes in Math. 401, Chapman & Hall/CRC, Boca Raton 1999.
  21. Smooth solutions for a class of nonlinear parabolic evolution equations, J. London Math. Soc. 61, 216-244 (2000). ps-file.
  22. with H. Lange, H. Teismann: Nash-Moser methods for the solution of quasilinear Schrödinger equations, Comm. P.D.E. 24, 1399 – 1418 (1999).
  23. Smooth solutions for a class of fully nonlinear Schrödinger type equations, to appear in: Nonlinear Analysis TMA 2000. ps-file.
  24. An application of the Nash-Moser theorem to ordinary differential equations in Fréchet spaces, Studia Mathematica 137, 101 – 121 (1999).
  25. On the local well posedness of quasilinear Schrödinger equations in arbitrary space dimensions, to appear in: J. Differential Equations 167, (2000). (33 pages). .ps-file.
  26. with K. Schmitt, Z. Q. Wang: On the existence of soliton solutions to quasilinear Schrödinger equations, submitted. ps-file.
  27. Nash-Moser techniques for nonlinear parabolic boundary value problems, submitted. .ps-file.

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