Description

• Title:
  Integrability of the derivative of solutions to a singular one-dimensional parabolic problem
• Creator:
  Nakayasu, Atsushi;
  Rybka, Piotr
• Description:
  We study integrability of the derivative of a solution to a singular one-dimensional parabolic equation with initial data in $W^{1,1}$. In order to avoid additional difficulties we consider only the periodic boundary conditions. The problem we study is a gradient flow of a convex, linear growth variational functional. We also prove a similar result for the elliptic companion problem, i.e.\ the time semidiscretization.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2018 Topological Methods in Nonlinear Analysis
• Date:
  2018.08.04
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 52, No 1 (September 2018); 239 - 257;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.031/15329 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2018.031/15330
• Subject:
  Strongly singular parabolic and elliptic equations;
  Primary;
  35K65;
  Secondary;
  35K67
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.031
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other