Sobolev Spaces Wm,p(W) with 1 p +¥

  • Jaider Blanco Gamarra
  • Cristian Rojas Milla Universidad del Atlántico
Keywords: Sobolev space, space separable reflexive spaces, Sobolev inequality, Immersion theorems, Poincaré inequality. Espacios de Sobolev, espacio separables, espacios reflexivos, Desigualdad de Sobolev, Teoremas de Inmersión, desigualdad de Poincar´e.

Abstract

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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Published
2014-06-27
How to Cite
Gamarra, J. B., & Rojas Milla, C. (2014). Sobolev Spaces Wm,p(W) with 1 p +¥. Revista MATUA ISSN: 2389-7422, 1(1). Retrieved from https://investigaciones.uniatlantico.edu.co/revistas/index.php/MATUA/article/view/1041