Lp estimates for the Caffarelli-Silvestre extension operators

2021/03/18 by Metafune, Giorgio, Negro, Luigi, Spina, Chiara · 3 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2103.10314

Abstract

We study elliptic and parabolic problems governed by the singular elliptic operators Delta_x+c\yD_y-b\y² on the half-space R^N+1₊.

Cited by

• Harnack inequality for Bessel operators
• On nondivergence form linear parabolic and elliptic equations with degenerate coefficients
• Operator Decompositions and Weighted Frame Inequalities for Total Sequences in Hilbert Spaces

Related

• Singular parabolic problems in the half-space
• Degenerate operators on the half-line
• Regularity theory for parabolic operators in the half-space with boundary degeneracy
• Kernel bounds for parabolic operators having first-order degeneracy at the boundary
• Sharp kernel bounds for parabolic operators with first order degeneracy