Necessary and sufficient conditions for maximal regularity in the study of elliptic differential equations in Hölder spaces

DOI10.3934/DCDS.2008.22.989zbMath1165.34034OpenAlexW2000170852MaRDI QIDQ950621

Hiroki Tanabe, Rabah Labbas, Atsushi Yagi, Angelo Favini, Stéphane Maingot

Publication date: 30 October 2008

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2008.22.989

zbMATH Keywords

analytic semigroup boundary condition maximal regularity Hölderian regularity second order abstract differential equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Linear differential equations in abstract spaces (34G10)

Related Items (5)

New results on abstract elliptic problems with general Robin boundary conditions in Hölder spaces: non commutative cases ⋮ Hölder-Lebesgue regularity and almost periodicity for semidiscrete equations with a fractional Laplacian ⋮ Necessary and sufficient conditions for the solvability and maximal regularity of abstract differential equations of mixed type in Hölder spaces ⋮ Second order abstract differential equations of elliptic type set in ℝ+ ⋮ First-order regular and degenerate identification differential problems

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