Stabilization of solutions of certain one-dimensional degenerate diffusion equations

Marek Fila; Ján Filo

Mathematica Slovaca (1987)

  • Volume: 37, Issue: 2, page 217-229
  • ISSN: 0139-9918

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Fila, Marek, and Filo, Ján. "Stabilization of solutions of certain one-dimensional degenerate diffusion equations." Mathematica Slovaca 37.2 (1987): 217-229. <http://eudml.org/doc/34257>.

@article{Fila1987,
author = {Fila, Marek, Filo, Ján},
journal = {Mathematica Slovaca},
keywords = {asymptotic behaviour; initial-boundary value problem; spatially distributed biological population; Verhulst law; nonlinear parabolic},
language = {eng},
number = {2},
pages = {217-229},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Stabilization of solutions of certain one-dimensional degenerate diffusion equations},
url = {http://eudml.org/doc/34257},
volume = {37},
year = {1987},
}

TY - JOUR
AU - Fila, Marek
AU - Filo, Ján
TI - Stabilization of solutions of certain one-dimensional degenerate diffusion equations
JO - Mathematica Slovaca
PY - 1987
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 37
IS - 2
SP - 217
EP - 229
LA - eng
KW - asymptotic behaviour; initial-boundary value problem; spatially distributed biological population; Verhulst law; nonlinear parabolic
UR - http://eudml.org/doc/34257
ER -

References

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  1. ARONSON D. G., CRANDALL M. G., PELETIER L. A., Stabilization of solutions of a degenerate nonlinear diffusion problem, Nonlinear Analysis 6, 1982, 1001-1022. (1982) Zbl0518.35050MR0678053
  2. GURTIN M. E., MACCAMY R. C., On the diffusion of biological population, Mathematical Biosciences 33, 1977, 35-49. (1977) MR0682594
  3. NAKAO M., Existence, nonexistence and some asymptotic behaviour of global solutions of a nonlinear degenerate parabolic equation, Math. Rep. College General Edc, Kyushu Univ. 14, 1983, 1-21. (1983) Zbl0563.35038MR0737351

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