Espacio de Sobolev W^(m,p) (Ω) con 1≤p≤+∞

• Autores: Jaider Blanco Gamarra, Cristian Rojas Milla
• Localización: MATUA: Revista de matemática de la universidad del Atlántico, ISSN-e 2389-7422, Vol. 1, Nº. 1, 2014 (Ejemplar dedicado a: Revista de Matemática MATUA), págs. 77-85
• Idioma: español
• Títulos paralelos:
  • Sobolev Spaces Wm,p(W) with 1 p +¥
• Enlaces
  • Texto completo
• Resumen
  • español

    En este artículo hacemos una breve revisión de los espacios de Sobolev, para lo cual presentamos su estructura vectorial ligada a los espacios Lp. Además, Se muestran que dichos espacios son normados, de Banach, separables y algunos son reflexivos (i,e; es isomorfo a su bidual) y finalmente se demostrarán los teoremas de inmersión y de aproximación por funciones suaves en dichos espacios.  

  • English

    This article is a brief review of Sobolev spaces, for which we present vector structure linked to Lp spaces. In addition, such spaces are displayed are normed, Banach, and some are separable reflexive (i, e, is isomorphic to its bidual) and finally immersion prove theorems and approximation by smooth functions in such spaces.

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