Regularity for obstacle problems in infinite dimensional Hilbert spaces

• Autores: Andrzej Swiech, Eduardo V. Teixeira
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 220, Nº 3, 2009, págs. 964-983
• Idioma: inglés
• DOI: 10.1016/j.aim.2008.10.007
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• Resumen

  • In this paper we study fully nonlinear obstacle-type problems in Hilbert spaces. We introduce the notion of Q-elliptic equation and prove existence, uniqueness, and regularity of viscosity solutions of Q-elliptic obstacle problems. In particular we show that solutions of concave problems with semiconvex obstacles are in the space .