Asymptotic behaviour of the solutions of a strongly nonlinear parabolic problem

M. A. Herrero; J. L. Vazquez

Annales de la Faculté des sciences de Toulouse : Mathématiques (1981)

  • Volume: 3, Issue: 2, page 113-127
  • ISSN: 0240-2963

How to cite

top

Herrero, M. A., and Vazquez, J. L.. "Asymptotic behaviour of the solutions of a strongly nonlinear parabolic problem." Annales de la Faculté des sciences de Toulouse : Mathématiques 3.2 (1981): 113-127. <http://eudml.org/doc/73118>.

@article{Herrero1981,
author = {Herrero, M. A., Vazquez, J. L.},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {strongly nonlinear parabolic problem; finite extinction time; homogeneous Dirichlet boundary conditions},
language = {eng},
number = {2},
pages = {113-127},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Asymptotic behaviour of the solutions of a strongly nonlinear parabolic problem},
url = {http://eudml.org/doc/73118},
volume = {3},
year = {1981},
}

TY - JOUR
AU - Herrero, M. A.
AU - Vazquez, J. L.
TI - Asymptotic behaviour of the solutions of a strongly nonlinear parabolic problem
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1981
PB - UNIVERSITE PAUL SABATIER
VL - 3
IS - 2
SP - 113
EP - 127
LA - eng
KW - strongly nonlinear parabolic problem; finite extinction time; homogeneous Dirichlet boundary conditions
UR - http://eudml.org/doc/73118
ER -

References

top
  1. [1] A. Bamberger. «Etude d'une équation doublement non linéaire». Journal of Functional Analysis24 (1977), p. 148-155. Zbl0345.35059MR470490
  2. [2] P. Benilan - M.G. Crandall. «The continuous dependence on φ of solutions of ut - Δφ(u) = 0». MRC report MC 578-01245. 
  3. [3] G. Diaz - J.I. Diaz. «Finite extinction time for a class of nonlinear parabolic equations». Comm. in P.D.E.4,11 (1979), p. 1213-1231. Zbl0425.35057MR546642
  4. [4] J.I. Diaz - M.A. Herrero. «Estimates on the support of the solutions of some nonlinear elliptic and parabolic problems». Proc. Royal Soc. Edinburgh, to appear. Zbl0478.35083MR635761
  5. [5] L.C. Evans. «Application of nonlinear semigroup theory to certain partial differential equations». in Nonlinear evolution equations, M.G. Grandall ed. (1979). Zbl0471.35039MR513818
  6. [6] A. Friedman. «Partial Differential Equations». Holt, Rinehart and Winston (1973). Zbl0224.35002MR445088
  7. [7] M.H. Protter - H.F. Weinberger. «Maximum principles in differential equations». Prentice Hall (1967). Zbl0153.13602MR219861
  8. [8] E.S. Sabinina. «A class of nonlinear degenerating parabolic equations». Soviet Math. Dokl3 (1962), p. 495-498 (in Russian). Zbl0122.33503MR132926
  9. [9] J.L. Vazquez. «An a priori interior estimate for the solutions of a nonlinear problem representing weak diffusion». Nonlinear Analysis, 5 (1981), p. 95-103. Zbl0446.35018MR597285
  10. [10] J.L. Vazquez - L. Veron. «Removable singularities of some strongly nonlinear elliptic equations». Manuscr. Math., 33 (1980), p. 129-144. Zbl0452.35034MR597815
  11. [11] L. Veron. «Effets régularisants de semi-groupes non linéaires dans des espaces de Banach». Annales Fac. Sci. Toulouse, 1 (1979), p. 171-200. Zbl0426.35052MR554377

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.