# 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

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topDíaz, 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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