Large time behaviour of solutions of the heat equation with absorption

S. Kamin; L. A. Peletier

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1985)

  • Volume: 12, Issue: 3, page 393-408
  • ISSN: 0391-173X

How to cite

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Kamin, S., and Peletier, L. A.. "Large time behaviour of solutions of the heat equation with absorption." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 12.3 (1985): 393-408. <http://eudml.org/doc/83961>.

@article{Kamin1985,
author = {Kamin, S., Peletier, L. A.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {decay; absorption; diffusion; scaling; asymptotic behaviour; semilinear heat equations; similarity solution},
language = {eng},
number = {3},
pages = {393-408},
publisher = {Scuola normale superiore},
title = {Large time behaviour of solutions of the heat equation with absorption},
url = {http://eudml.org/doc/83961},
volume = {12},
year = {1985},
}

TY - JOUR
AU - Kamin, S.
AU - Peletier, L. A.
TI - Large time behaviour of solutions of the heat equation with absorption
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1985
PB - Scuola normale superiore
VL - 12
IS - 3
SP - 393
EP - 408
LA - eng
KW - decay; absorption; diffusion; scaling; asymptotic behaviour; semilinear heat equations; similarity solution
UR - http://eudml.org/doc/83961
ER -

References

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  1. [1] N.D. Alikakos - R. Rostamian, On the uniformization of the solution of the porous medium equation in Rn, israelJ. Math., 47 (1984), pp. 270-290. Zbl0562.35050MR764297
  2. [2] A. Friedman, Partial differential equations of parabolic type, Prentice-Hall, Englewood Cliffs, N.J., 1964. Zbl0144.34903MR181836
  3. [3] B.H. Gilding, Hölder continuity of solutions of parabolic equations, J. London Math. Soc., 13 (1976), pp. 103-106. Zbl0319.35045MR399658
  4. [4] L. Gmira - L. Veron, Large time behaviour of the solutions of a semilinear parabolic equation in Rn, J. Diff. Equ., 53 (1984), pp. 258-276. Zbl0529.35041MR748242
  5. [5] S. Kamin(Kamenomostkaya), The asymptotic behaviour of the solution of the filtration equation, Israel J. Math., 14 (1973), pp. 76-87. Zbl0254.35054MR315292
  6. [6] O.A. Oleinik - S.N. Kruzhkov, Quasilinear second order parabolic equations with many independent variables, Russian Math., Surveys, 16 (1961), pp. 105-146. Zbl0112.32604
  7. [7] V.A. Galaktionov - S.P. Kurdjumov - A.A. Samarskii, On asymptotic « eigenfunctions» of the Cauchy problem for a nonlinear parabolic equation, Mat. Sbornik, 126, 4 (1985), pp. 435-472 (in Russian). Zbl0607.35049

Citations in EuDML Documents

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  1. S. Claudi, R. Natalini, A. Tesei, Large time behaviour of a diffusion equation with strong convection
  2. Luis Herraiz, Asymptotic behaviour of solutions of some semilinear parabolic problems
  3. Thierry Cazenave, Flávio Dickstein, Fred B. Weissler, Universal solutions of a nonlinear heat equation on ℝ N
  4. Vladimir Varlamov, Nonlinear Heat Equation with a Fractional Laplacian in a Disk
  5. Vladimir Varlamov, Long-time asymptotics for the nonlinear heat equation with a fractional Laplacian in a ball

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