Uniqueness of very singular self-similar solution of a quasilinear degenerate parabolic equation with absorption.

Jesús Ildefonso Díaz; José Evaristo Saa

Publicacions Matemàtiques (1992)

  • Volume: 36, Issue: 1, page 19-38
  • ISSN: 0214-1493

Abstract

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We show the uniqueness of the very singular self-similar solution of the equationut - Δ pum + uq = 0.The result is carried out by studying the stationary associate equation and by introducing a suitable change of unknown. That allows to assume the zero-order perturbation term in the new equation to be monotone increasing. A careful study of the behaviour of solutions near the boundary of their support is also used in order to prove the main result.

How to cite

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Díaz, Jesús Ildefonso, and Saa, José Evaristo. "Uniqueness of very singular self-similar solution of a quasilinear degenerate parabolic equation with absorption.." Publicacions Matemàtiques 36.1 (1992): 19-38. <http://eudml.org/doc/41171>.

@article{Díaz1992,
abstract = {We show the uniqueness of the very singular self-similar solution of the equationut - Δ pum + uq = 0.The result is carried out by studying the stationary associate equation and by introducing a suitable change of unknown. That allows to assume the zero-order perturbation term in the new equation to be monotone increasing. A careful study of the behaviour of solutions near the boundary of their support is also used in order to prove the main result.},
author = {Díaz, Jesús Ildefonso, Saa, José Evaristo},
journal = {Publicacions Matemàtiques},
keywords = {Ecuaciones diferenciales no lineales; Ecuaciones parabólicas; Ecuaciones diferenciales elípticas; Absorción; Linealidad; quasilinear degenerate parabolic equation; uniqueness; singular self- similar solution},
language = {eng},
number = {1},
pages = {19-38},
title = {Uniqueness of very singular self-similar solution of a quasilinear degenerate parabolic equation with absorption.},
url = {http://eudml.org/doc/41171},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Díaz, Jesús Ildefonso
AU - Saa, José Evaristo
TI - Uniqueness of very singular self-similar solution of a quasilinear degenerate parabolic equation with absorption.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 1
SP - 19
EP - 38
AB - We show the uniqueness of the very singular self-similar solution of the equationut - Δ pum + uq = 0.The result is carried out by studying the stationary associate equation and by introducing a suitable change of unknown. That allows to assume the zero-order perturbation term in the new equation to be monotone increasing. A careful study of the behaviour of solutions near the boundary of their support is also used in order to prove the main result.
LA - eng
KW - Ecuaciones diferenciales no lineales; Ecuaciones parabólicas; Ecuaciones diferenciales elípticas; Absorción; Linealidad; quasilinear degenerate parabolic equation; uniqueness; singular self- similar solution
UR - http://eudml.org/doc/41171
ER -

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