4.7 Article

Lp estimates for the Caffarelli-Silvestre extension operators

Journal

JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 316, Issue -, Pages 290-345

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2022.01.049

Keywords

Elliptic operators; Discontinuous coefficients; Kernel estimates; Maximal regularity

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This article studies elliptic and parabolic problems governed by the singular elliptic operators in the half-space.
We study elliptic and parabolic problems governed by the singular elliptic operators L = Delta(x) +D-yy + c/yD(y) - b/y(2) in the half-space R-+(N+1) = {(x, y) : x is an element of R-N, y > 0}. (C) 2022 Elsevier Inc. All rights reserved.

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