Description

• Title:
  Linearized stability for degenerate and singular semilinear and quasilinear parabolic problems: the linearized singular equation
• Creator:
  Diaz, Jesús Ildefonso;
  Hernández, Jesús
• Description:
  We study some linear eigenvalue problems for the Laplacian operator with singular absorption or/and source coefficients arising in the linearization around positive solutions to some quasilinear degenerate parabolic equations and singular semilinear parabolic problems as well. We show that the linearization process applies even if the coefficients behave singularly with the distance to the boundary to the exponent two. This improves previous references in the literature. Applications to the above mentioned nonlinear problems are also presented.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.11.14
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 54, No 2B (December 2019); 937 - 966;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.091/23692 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.091/23693
• Subject:
  Linearization;
  linear eigenvalue problems with singular coefficients;
  quasilinear degenerate parabolic equations;
  singular semilinear parabolic problems;
  35P05;
  35P30;
  35K55
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.091
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other