A generalized maximum principle for boundary value problems for degenerate parabolic operators with discontinuous coefficients

Salvatore Bonafede; Francesco Nicolosi

Mathematica Bohemica (2000)

  • Volume: 125, Issue: 1, page 39-54
  • ISSN: 0862-7959

Abstract

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We prove a generalized maximum principle for subsolutions of boundary value problems, with mixed type unilateral conditions, associated to a degenerate parabolic second-order operator in divergence form.

How to cite

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Bonafede, Salvatore, and Nicolosi, Francesco. "A generalized maximum principle for boundary value problems for degenerate parabolic operators with discontinuous coefficients." Mathematica Bohemica 125.1 (2000): 39-54. <http://eudml.org/doc/248652>.

@article{Bonafede2000,
abstract = {We prove a generalized maximum principle for subsolutions of boundary value problems, with mixed type unilateral conditions, associated to a degenerate parabolic second-order operator in divergence form.},
author = {Bonafede, Salvatore, Nicolosi, Francesco},
journal = {Mathematica Bohemica},
keywords = {weak subsolution; generalized maximum principle; comparison theorem; degenerate equation; weak subsolution; generalized maximum principle; comparison theorem; degenerate equation},
language = {eng},
number = {1},
pages = {39-54},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A generalized maximum principle for boundary value problems for degenerate parabolic operators with discontinuous coefficients},
url = {http://eudml.org/doc/248652},
volume = {125},
year = {2000},
}

TY - JOUR
AU - Bonafede, Salvatore
AU - Nicolosi, Francesco
TI - A generalized maximum principle for boundary value problems for degenerate parabolic operators with discontinuous coefficients
JO - Mathematica Bohemica
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 125
IS - 1
SP - 39
EP - 54
AB - We prove a generalized maximum principle for subsolutions of boundary value problems, with mixed type unilateral conditions, associated to a degenerate parabolic second-order operator in divergence form.
LA - eng
KW - weak subsolution; generalized maximum principle; comparison theorem; degenerate equation; weak subsolution; generalized maximum principle; comparison theorem; degenerate equation
UR - http://eudml.org/doc/248652
ER -

References

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  12. Nicolosi F., Sottosoluzioni deboli delle equazioni paraboliche lineari del secondo ordine superiormente limitate, Matematiche 28 (1973), 361-378. (1973) MR0364867
  13. Nicolosi F., Soluzioni dei problemi al contorno per operatori parabolici che possono degenerare, Ann. Mat. Pura Appl., IV. Ser. 125 (1980), 135-155. (1980) MR1553443
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