New regularity results for the heat equation in triangular domains

• Yassine Benia ^[1] ; Boubaker-Khaled Sadallah ^[2]
  1. [1] University of Algiers

     University of Algiers

     Argelia

     
  2. [2] Lab. PDE & Hist Maths, Department of Mathematics
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 80, Nº. 1, 2023, págs. 85-110
• Idioma: inglés
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• Resumen

  • This article deals with the regularity in Sobolev spaces of solution for non-homogeneous heat equation subject to Cauchy–Dirichlet boundary conditions considered in a triangular domain. The proof is based on the domain decomposition method and trace results.