A semilinear non-homogeneous problem related to Korteweg-de Vries Equation

• Benia, Yassine ^[1]
  1. [1] University of Algiers

     University of Algiers

     Argelia

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 43, Nº. 2, 2024, págs. 401-423
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this paper, we consider a non-homogeneous generalized Korteweg-de Vries problem with some hypotheses on the right-hand side, and we give a new regularity result of the solution in an anisotropic Sobolev space. Then we apply the obtained result to a non-homogeneous KdV problem. This work is an extension of solvability results for a right-hand side f in Lebesgue space.