Description

• Title:
  On time-periodic solutions of some nonlinear parabolic equations with nonmonotone multivalued terms
• Creator:
  Otani, Mitsuharu;
  Staicu, Vasile
• Description:
  In this paper we study the existence of time periodic solutions to a class of nonlinear parabolic equations with multivalued nonlinear terms subject to the homogeneous Dirichlet boundary condition. We give two types of existence results: one for large periodic solutions with any large data, and the other for small periodic solutions with small data. Both concern the case where the nonlinear terms contain either a upper semicontinuous multivalued term or a lower semicontinuous multivalued term. Some applications of our results are also given.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.12.01
• 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); 1075 - 1092;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.092/23861 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.092/23862
• Subject:
  time-periodic solutions;
  nonlinear parabolic equations;
  nonmonotone multivalued terms;
  35K55;
  35B10;
  35D35;
  49J53
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.092
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other