A criterion of Petrowsky's kind for a degenerate quasilinear parabolic equation.

Peter Lindqvist

Revista Matemática Iberoamericana (1995)

  • Volume: 11, Issue: 3, page 569-578
  • ISSN: 0213-2230

Abstract

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The celebrated criterion of Petrowsky for the regularity of the latest boundary point, originally formulated for the heat equation, is extended to the so-called p-parabolic equation. A barrier is constructed by the aid of the Barenblatt solution.

How to cite

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Lindqvist, Peter. "A criterion of Petrowsky's kind for a degenerate quasilinear parabolic equation.." Revista Matemática Iberoamericana 11.3 (1995): 569-578. <http://eudml.org/doc/39492>.

@article{Lindqvist1995,
abstract = {The celebrated criterion of Petrowsky for the regularity of the latest boundary point, originally formulated for the heat equation, is extended to the so-called p-parabolic equation. A barrier is constructed by the aid of the Barenblatt solution.},
author = {Lindqvist, Peter},
journal = {Revista Matemática Iberoamericana},
keywords = {Ecuaciones parabólicas; Ecuaciones en derivadas parciales no lineales; Problema de contorno; Transmisión de calor; Modelo lineal; criterion of Petrowsky; -parabolic equation; Barenblatt solution},
language = {eng},
number = {3},
pages = {569-578},
title = {A criterion of Petrowsky's kind for a degenerate quasilinear parabolic equation.},
url = {http://eudml.org/doc/39492},
volume = {11},
year = {1995},
}

TY - JOUR
AU - Lindqvist, Peter
TI - A criterion of Petrowsky's kind for a degenerate quasilinear parabolic equation.
JO - Revista Matemática Iberoamericana
PY - 1995
VL - 11
IS - 3
SP - 569
EP - 578
AB - The celebrated criterion of Petrowsky for the regularity of the latest boundary point, originally formulated for the heat equation, is extended to the so-called p-parabolic equation. A barrier is constructed by the aid of the Barenblatt solution.
LA - eng
KW - Ecuaciones parabólicas; Ecuaciones en derivadas parciales no lineales; Problema de contorno; Transmisión de calor; Modelo lineal; criterion of Petrowsky; -parabolic equation; Barenblatt solution
UR - http://eudml.org/doc/39492
ER -

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