Degenerate operators of Tricomi type in \(L^p\)-spaces and in spaces of continuous functions

DOI10.1016/j.jde.2011.09.017zbMath1235.35139OpenAlexW2008504250MaRDI QIDQ652473

Roland Schnaubelt, Simona Fornaro, Pallara, Diego, Metafune, Giorgio

Publication date: 14 December 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.09.017

zbMATH Keywords

semigroupsmaximal regularityTricomi type operators

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Degenerate elliptic equations (35J70)

Related Items (6)

Multi-dimensional degenerate operators in \(L^p\)-spaces ⋮ The fractional Laplacian in power-weighted \(L^{p}\) spaces: integration-by-parts formulas and self-adjointness ⋮ On second-order elliptic operators with complete first-order boundary degeneration and strong outward drift ⋮ Second order elliptic operators in \(L^2\) with first order degeneration at the boundary and outward pointing drift ⋮ On the second order derivative estimates for degenerate parabolic equations ⋮ On the existence of \(L^p\)-solution of generalized Euler-Poisson-Darboux equation in the upper half space

Cites Work

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• \(L^{p}\)-theory for some elliptic and parabolic problems with first order degeneracy at the boundary
• Gaussian estimates and interpolation of the spectrum in \(L^ p\)
• An $L^p$ a priori estimate for the Tricomi equation in the upper half space
• One-Parameter Semigroups for Linear Evolution Equations
• Sobolev Space Theory of Parabolic Equations Degenerating on the Boundary ofC¹Domains
• Sur une classe d'opérateurs elliptiques dégénérés
• Analytic semigroups and optimal regularity in parabolic problems
• The \(H^\infty\)-calculus and sums of closed operators

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