Analytic semigroups generated in $L^p$ by elliptic operators with high order degeneracy at the boundary

Authors

  • Simona Fornaro
  • Giorgio Metafune
  • Diego Pallara

DOI:

https://doi.org/10.1285/i15900932v31n1p103

Keywords:

Degenerate elliptic operators, Analytic Semigroups

Abstract

Given a regular bounded domain, we show that an elliptic operator whose diffusion coefficients degenerate at the boundary at least as the square of the distance from the boundary, endowed with a suitable domain, generates an analytic semigroup in $L^p$, $1


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Published

15-01-2012

Issue

Volume 31, Issue 1 (2011)

Section

Articoli

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