Description

• Title:
  Topological structure of solution sets to parabolic problems
• Creator:
  Ďurikovič, Vladimír;
  Ďurikovičová, Monika
• Description:
  In this paper we deal with the Peano phenomenon for general initial-boundary value problems of quasilinear parabolic equations with arbitrary even order space derivatives. The nonlinearity is assumed to be a continuous or continuously Fréchet differentiable function. Using a method of transformation to an operator equation and employing the theory of proper, Fredholm (linear and nonlinear) and Nemitski\u\i\ operators, we study the existence of solution of the given problem and qualitative and quantitative structure of its solution and bifurcation sets. These results can be applied to the different technical and natural science models.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2005.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 25, No 2 (June 2005); 313 - 349;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2005.016/9269
• Subject:
  35K35;
  35K60;
  35B22;
  35B32;
  35B38;
  47A53;
  47H09;
  47H10;
  47H30;
  58B15;
  58D25;
  Initial-boundary value preoblem;
  linear and nonlinear Fredholm operator;
  proper;
  coercive and surjective operator;
  singular;
  critical and regular point;
  bifurcation point
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2005.016
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other