On the extinction of the solution for an elliptic equation in a cylindrical domain

Theodore K. Boni

Annales mathématiques Blaise Pascal (1999)

  • Volume: 6, Issue: 1, page 13-20
  • ISSN: 1259-1734

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Boni, Theodore K.. "On the extinction of the solution for an elliptic equation in a cylindrical domain." Annales mathématiques Blaise Pascal 6.1 (1999): 13-20. <http://eudml.org/doc/79203>.

@article{Boni1999,
author = {Boni, Theodore K.},
journal = {Annales mathématiques Blaise Pascal},
keywords = {extinction of solutions; elliptic equations in a cylindrical; domain; steady state solution},
language = {eng},
number = {1},
pages = {13-20},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {On the extinction of the solution for an elliptic equation in a cylindrical domain},
url = {http://eudml.org/doc/79203},
volume = {6},
year = {1999},
}

TY - JOUR
AU - Boni, Theodore K.
TI - On the extinction of the solution for an elliptic equation in a cylindrical domain
JO - Annales mathématiques Blaise Pascal
PY - 1999
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 6
IS - 1
SP - 13
EP - 20
LA - eng
KW - extinction of solutions; elliptic equations in a cylindrical; domain; steady state solution
UR - http://eudml.org/doc/79203
ER -

References

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  2. [2] T.K. Boni, Sur le comportement asymptotique des solutions pour certaines équations paraboliques et elliptiques semi-linéaires du second ordre, C. R. Acad. Sci. Paris, t. 327, Série I, 5 (1998), p. 455-460. Zbl0914.35022MR1652558
  3. [3] C. Bandle - I. Stakgold, The formation of the dead core in parabolic reaction diffusin problemsTrans. Amer. Math. Soc. Vol. 286, 1 (1984) 275-293. Zbl0519.35042MR756040
  4. [4] C. Bandle - T. Nanbu - I. Stakgold, Porous medium equation with absorptionSIAM J. Math. Anal. Vol. 20, 5 (1998) 1268-1278. Zbl0935.35083MR1628263
  5. [5] G.V. Grishina, Asymptotic behavior of solutions to weakly nonlinear equations in tube domains, Diff. Equat., Vol. 31, 3 (1995), 429-434. Zbl0855.35014MR1373042
  6. [6] V.A. Kondratiev - O.A. Oleinik, Some results for nonlinear elliptic equations in cylindrical domains. in: Operational calculus spectral theory, Birkhauser, 1992, 185-195. Zbl0900.35052MR1230900
  7. [7] V.A. Kondratiev - O.A. Oleinik, On asymptotic of solutions of nonlinear second order elliptic equations in cylindrical domains. in: "Nonlinear. Diff. Equat. Appl.", 22, Birkhauser, 1996, 160-173. Zbl0856.35012MR1399131
  8. [8] V.A. Kondratiev - L. Véron, Asymptotic behavior of solutions of some nonlinear parabolic or elliptic equations, Asymptotic Analysis, 14 (1997) 117-156. Zbl0897.35013MR1451209
  9. [9] M.H. Protter - H.F. Weinberger, "Maximum principles in differential equations", Prentice Hall, Englewood Cliffs, NJ, 1967. Zbl0153.13602MR219861
  10. [10] D.H. Sattinger, Monotone methods in nonlinear elliptic and parabolic boundary value problems, Indiana Univ. Math. J. Vol. 21, 11 (1972), 979-1000. Zbl0223.35038MR299921
  11. [11] L. Veron, Comportement asymptotique des solutions d'équations elliptiques semi-linéaires dans Rn. Annali Math. Pura Appl., 127 (1981), 25-50. Zbl0467.35013MR633393
  12. [12] L. Veron, Equations d'évolution semi-linéaires du second ordre dans L1Rev. Roumaine Math. Pures Appl., XXVII (1982), 95-123. Zbl0489.35010MR658869
  13. [13] W. Walter, "Differential- und Integral-Ungleichungen", Springer, Berlin, 1964. Zbl0119.12205MR172076

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