Existence and properties of the Green function for a class of degenerate parabolic equations.

José C. Fernandes; Bruno Franchi

Revista Matemática Iberoamericana (1996)

  • Volume: 12, Issue: 2, page 491-525
  • ISSN: 0213-2230

Abstract

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It is known that degenerate parabolic equations exhibit somehow different phenomena when we compare them with their elliptic counterparts. Thus, the problem of existence and properties of the Green function for degenerate parabolic boundary value problems is not completely solved, even after the contributions of [GN] and [GW4], in the sense that the existence problem is still open, even if the a priori estimates proved in [GN] will be crucial in our approach (...).

How to cite

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Fernandes, José C., and Franchi, Bruno. "Existence and properties of the Green function for a class of degenerate parabolic equations.." Revista Matemática Iberoamericana 12.2 (1996): 491-525. <http://eudml.org/doc/39500>.

@article{Fernandes1996,
abstract = {It is known that degenerate parabolic equations exhibit somehow different phenomena when we compare them with their elliptic counterparts. Thus, the problem of existence and properties of the Green function for degenerate parabolic boundary value problems is not completely solved, even after the contributions of [GN] and [GW4], in the sense that the existence problem is still open, even if the a priori estimates proved in [GN] will be crucial in our approach (...).},
author = {Fernandes, José C., Franchi, Bruno},
journal = {Revista Matemática Iberoamericana},
keywords = {Ecuaciones parabólicas; Función de Green; Ecuaciones diferenciales en derivadas parciales; Problema de Dirichlet; Muckenhoupt class; Green function},
language = {eng},
number = {2},
pages = {491-525},
title = {Existence and properties of the Green function for a class of degenerate parabolic equations.},
url = {http://eudml.org/doc/39500},
volume = {12},
year = {1996},
}

TY - JOUR
AU - Fernandes, José C.
AU - Franchi, Bruno
TI - Existence and properties of the Green function for a class of degenerate parabolic equations.
JO - Revista Matemática Iberoamericana
PY - 1996
VL - 12
IS - 2
SP - 491
EP - 525
AB - It is known that degenerate parabolic equations exhibit somehow different phenomena when we compare them with their elliptic counterparts. Thus, the problem of existence and properties of the Green function for degenerate parabolic boundary value problems is not completely solved, even after the contributions of [GN] and [GW4], in the sense that the existence problem is still open, even if the a priori estimates proved in [GN] will be crucial in our approach (...).
LA - eng
KW - Ecuaciones parabólicas; Función de Green; Ecuaciones diferenciales en derivadas parciales; Problema de Dirichlet; Muckenhoupt class; Green function
UR - http://eudml.org/doc/39500
ER -

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