Publikationen Michael Winkler

Zeitschriftenaufsätze

    Erscheinen:

  1. Djie, K., Winkler, M.: Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect. Erscheint in: Nonlinear Analysis: Theory, Methods and Applications
  2. Fila, M., Winkler, M.: Rate of convergence to a singular steady state of a supercritical parabolic equation Erscheint in: Journal of Evolution Equations
  3. Winkler, M.: Does a `volume-filling effect' always prevent chemotactic collapse? Erscheint in: Math. Methods in the Applied Sciences
  4. Winkler, M.: The evolution of dead cores in strongly degenerate diffusion problems. Erscheint in: Advances in Differential Equations
  5. Winkler, M.: Absence of collapse in a parabolic chemotaxis system with signal-dependent sensitivity. Erscheint in: Math. Nachrichten

    6. 2009:

  6. Fila, M., Winkler, M.: Stabilization of solutions of a semilinear parabolic equation modelling quorum sensing in a biofilm. Asymptotic Analysis 62 (1-2), 89-106 (2009)
  7. Winkler, M.: Infinite-time quenching in fast diffusion equations. Nonlinear Differential Equations and Applications 16 (1), 41-61 (2009)

    8. 2008:

  8. Cieślak, T., Winkler, M.: Finite-time blow-up in a quasilinear system of chemotaxis. Nonlinearity 21, 1057-1076 (2008)
  9. Fila, M., King, J.R., Winkler, M., Yanagida, E.: Linear Behaviour of Solutions of a Superlinear Heat Equation. Journal of Math. Analysis and its Applications 340, 401-409 (2008)
  10. Fila, M., Winkler, M.: Single-point blow-up on the boundary where the zero Dirichlet boundary condition is imposed. Journal of the European Mathematical Society 10 (1), 105-132 (2008)
  11. Fila, M., Winkler, M., Yanagida, E.: Slow Convergence to Zero for a Parabolic Equation with Supercritical Nonlinearity. Mathematische Annalen 340, 477-496 (2008)
  12. Fila, M., Winkler, M., Yanagida, E.: Convergence to selfsimilar solutions for a semilinear parabolic equation. Discrete and Continuous Dynamical Systems 21, 703-716 (2008)
  13. Fila, M., Winkler, M., Yanagida, E.: Convergence of solutions of a semilinear parabolic equation to self-similar solutions of the linear heat equation. Advances in Differential Equations 13, 1131-1149 (2008)
  14. Stinner, C., Winkler, M.: Finite time vs. infinite time gradient blow-up in a degenerate diffusion equation. Indiana Univ. Math. Journal 57 (5), 2321-2354 (2008)
  15. Winkler, M.: Conservation of boundary decay and nonconvergent bounded gradients in degenerate diffusion problems. Advances in Differential Equations 13 (1-2), 27-54 (2008)
  16. Winkler, M.: Oscillating solutions and large w-limit sets in a degenerate parabolic equation. Journal of Dynamics and Differential Equations 20 (1), 87-113 (2008)
  17. Winkler, M.: Boundedness and exponential stabilization in a signal transduction model with diffusion. Math. Methods in the Applied Sciences 31, 1905-1921 (2008)
  18. Winkler, M.: Chemotaxis with logistic source: Very weak global solutions and boundedness properties. Journal of Math. Analysis and Applications 348, 708-729 (2008)

    19. 2007:

  19. Fila, M., King, J.R., Winkler, M., Yanagida, E.: Grow-up rate of solutions of a semilinear parabolic equation with a critical exponent. Advances in Differential Equations 12 (1), 1-26 (2007)
  20. Fila, M., Taskinen, J., Winkler, M.: Convergence to a singular steady state of a parabolic equation with gradient blow-up. Applied Mathematics Letters 20, 578-582 (2007)
  21. Stinner, C., Winkler, M.: Boundedness vs. blow-up in a degenerate diffusion equation with gradient nonlinearity. Indiana Univ. Math. Journal 56 (5), 2233-2262 (2007)
  22. Tello, J.I., Winkler, M.: A chemotaxis system with logistic source. Communications in Partial Differential Equations 32 (6), 849-877 (2007)
  23. Winkler, M.: Nontrivial ordered omega-limit sets in a linear degenerate parabolic equation. Discrete and Continuous Dynamical Systems 17 (4), 739-750 (2007)
  24. Winkler, M.: Nonuniqueness in the quenching problem. Mathematische Annalen 339, 559-597 (2007)

    25. 2006:

  25. Fila, M., King, J.R., Winkler, M., Yanagida, E.: Optimal lower bound of the grow-up rate for a supercritical parabolic equation. Journal of Differential Equations 228, 339-356 (2006)

    26. 2005:

  26. Fila, M., Winkler, M., Yanagida, E.: Convergence rate for a parabolic equation with supercritical nonlinearity. Journal of Dynamics and Differential Equations 17 (2), 249-269 (2005)
  27. Horstmann, D., Winkler, M.: Boundedness vs. blow-up in a chemotaxis system. Journal of Differential Equations 215 (1), 52-107 (2005)
  28. Stein, O., Winkler, M.: Amorphous molecular beam epitaxy: global solutions and absorbing sets. European Journal of Applied Mathematics 16 (6), 767-798 (2005)
  29. Winkler, M.: Large time behavior and stability of equilibria of degenerate parabolic equations. Journal of Dynamics and Differential Equations 17 (2), 331-351 (2005)

    30. 2004:

  30. Fila, M., Winkler, M., Yanagida, E.: Grow-up rate for solutions of a Supercritical Semilinear Diffusion Equation. Journal of Differential Equations 205, 365-389 (2004)
  31. Quittner, P., Souplet, Ph., Winkler, M.: Initial blow-up rates and universal bounds for nonlinear heat equations. Journal of Differential Equations 196, 316-339 (2004)
  32. Winkler, M.: Universal bounds for a forced porous medium equation. Nonlinear Analysis 57, 349-362 (2004)
  33. Winkler, M.: Blow-up in a degenerate parabolic equation. Indiana Univ. Math. Journal 53 (5), 1415-1442 (2004)
  34. Winkler, M.: A doubly critical degenerate parabolic problem. Math. Methods in the Applied Sciences 27 (14), 1619-1627 (2004)
  35. Winkler, M.: A strongly degenerate diffusion equation with strong absorption. Math. Nachrichten 277, 83-101 (2004)
  36. Winkler, M.: Instantaneous shrinking of the support in degenerate parabolic equations with strong absorption. Advances in Differential Equations 9 (5-6), 625-643 (2004)
  37. Winkler, M.: Propagation vs. constancy of support in the degenerate parabolic equation ut=f(u) ∆u. Rend. Istit. Mat. Univ. Trieste XXXVI, 1-15 (2004)

    38. 2003:

  38. King, B.B., Stein, O., Winkler, M.: A fourth order parabolic equation modelling epitaxial thin film growth. Journal of Math. Analysis and Applications 286, 459-490 (2003)
  39. Winkler, M.: Blow-up of solutions to a degenerate parabolic equation not in divergence form. Journal of Differential Equations 192 (2) 445-474 (2003)
  40. Winkler, M.: Boundary behavior in strongly degenerate parabolic equations. Acta Math. Univ. Comenianae 72 (1), 129-139 (2003)
  41. Winkler, M.: Quenching phenomena in strongly degenerate diffusion equations with strong absorption. Journal of Math. Analysis and Applications 288, 481-504 (2003)

    42. 2002:

  42. Winkler, M.: A critical exponent in a degenerate parabolic equation. Math. Methods in the Applied Sciences 25 (11), 911-925 (2002)

    43. 2001:

  43. Winkler, M.: Large time behavior of solutions to degenerate parabolic equations with absorption. Nonlinear Differential Equations and Applications 8 (3), 343-361 (2001)
  44. Winkler, M.: On the Cauchy problem for a degenerate parabolic equation. Zeitschrift für Analysis und ihre Anwendungen 20 (3), 677-690 (2001)

Zur Publikation eingereicht; sonstige Veröffentlichungen

    Eingereicht:

  1. Fila, M., King, J.R., Winkler, M., Yanagida, E.: Very slow grow-up of solutions of a semilinear parabolic equation. Eingereicht
  2. Souplet, Ph., Winkler, M.: The infleunce of space dimension on the large-time behavior for a reaction-diffusion system arising in population genetics. Eingereicht
  3. Vázquez, J.L., Winkler, M.: The evolution of singularities in fast diffusion equations. Infinite-time blow-down. Eingereicht
  4. Winkler, M.: Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model. Eingereicht
  5. Winkler, M.: Boundedness in the higher-dimensional parabolic-parabolic chemotaxis system with logistic source. Eingereicht
  6. Winkler, M.: Refined asymptotics for entire solutions of a biharmonic equation with a supercritical nonlinearity. Eingereicht

    7. 2008:

  7. Fila, M., King, J.R., Winkler, M., Yanagida, E.: Large time behaviour of solutions of a semilinear heat equation with supercritical nonlinearity. Proceedings of `Equadiff 2007', Wien 2008

    8. 2005:

  8. Fila, M., Velázquez, J.J.L., Winkler, M.: Grow-up on the boundary for a semilinear parabolic problem. Chipot, Michel (ed.) et al., Nonlinear elliptic and parabolic problems. A special tribute to the work of Herbert Amann, Zürich, Switzerland, June 28-30, 2004. Birkhäuser, Basel. Progress in Nonlinear Differential Equations and their Applications 64, 137-150 (2005)
  9. Winkler, M.: Relationships between spatial decay of initial data and time asymptotics in a supercritical parabolic equation. Proceedings of `Equadiff 11', Bratislava 2005

    10. 2004:

  10. Winkler, M.: On strongly degenerate diffusion with strong absorption. Habilitationsschrift, Aachen (2004)

    11. 2003:

  11. Winkler, M.: Nonuniqueness in strongly degenerate diffusion equations with strong absorption. Proceedings of `Equadiff 2003', Hasselt 2003

    12. 2001:

  12. Wiegner, M., Winkler, M.: Diffusionsprobleme. In: RWTH-Themen 2/2001: Mathematik heute - Technik von morgen
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