\(L^{p}\)-theory for some elliptic and parabolic problems with first order degeneracy at the boundary

DOI10.1016/j.matpur.2007.02.001zbMath1387.35297OpenAlexW2155809692MaRDI QIDQ877567

Simona Fornaro, Jan W. Prüss, Pallara, Diego, Metafune, Giorgio

Publication date: 3 May 2007

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2007.02.001

zbMATH Keywords

analytic semigroupsmaximal regularitydegenerate elliptic problems

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Degenerate parabolic equations (35K65) Degenerate elliptic equations (35J70)

Related Items

Multi-dimensional degenerate operators in \(L^p\)-spaces ⋮ GLOBAL CARLEMAN ESTIMATES FOR DEGENERATE PARABOLIC OPERATORS WITH APPLICATIONS ⋮ The fractional Laplacian in power-weighted \(L^{p}\) spaces: integration-by-parts formulas and self-adjointness ⋮ Preface. Special issue dedicated to Jan Prüss on the occasion of his 65th birthday ⋮ A unified approach to degenerate problems in the half-space ⋮ Degenerate operators of Tricomi type in \(L^p\)-spaces and in spaces of continuous functions ⋮ On second-order elliptic operators with complete first-order boundary degeneration and strong outward drift ⋮ Approximation of some Feller semigroups associated with a modification of Szász-Mirakjan-Kantorovich operators ⋮ Weighted Calderón-Zygmund and Rellich inequalities in \(L^p\) ⋮ Second order elliptic operators in \(L^2\) with first order degeneration at the boundary and outward pointing drift ⋮ \(L_\infty\)-estimates for the torsion function and \(L_{\infty}\)-growth of semigroups satisfying Gaussian bounds ⋮ Maximal regularity for gradient systems with boundary degeneracy

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