ANALYTICITY OF SEMIGROUPS GENERATED BY SECOND-ORDER DIFFERENTIAL OPERATORS ON WEIGHTED L2-SPACES

DOI10.1142/S1793557112500428zbMath1258.35111MaRDI QIDQ4900111

Adel Saddi, Rchid Rabaoui

Publication date: 11 January 2013

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

analytic semigroupsone space dimensionsecond-order differential operators

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) One-parameter semigroups and linear evolution equations (47D06) Analyticity in context of PDEs (35A20) Second-order elliptic equations (35J15) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Forms (bilinear, sesquilinear, multilinear) (47A07)

Related Items (1)

\(L^{p}\)-theory of elliptic differential operators with unbounded coefficients

Cites Work

• Analyticity on \(L_1\) of the heat semigroup with Wentzell boundary conditions
• A new approach to the analyticity of some classes of one-parameter semigroups in weighted-\(L^p\) spaces
• A singular parabolic boundary value problem in weighted \(L^p\)-spaces
• Wentzell-Robin boundary conditions on \(C[0,1\)]
• A Uniform Expansion for the Eigenfunction of a Singular Second-Order Differential Operator

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