Parabolic equations in time dependent Reifenberg domains

• Autores: Sun-Sig Byun, Lihe Wang
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 212, Nº 2, 2007, págs. 797-818
• Idioma: inglés
• DOI: 10.1016/j.aim.2006.12.002
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• Resumen

  • In this paper we define time dependent parabolic Reifenberg domains and study Lp estimates for weak solutions of uniformly parabolic equations in divergence form on these domains. The basic assumption is that the principal coefficients are of parabolic BMO space with small parabolic BMO seminorms. It is shown that Lp estimates hold for time dependent parabolic d-Reifenberg domains.