Fractional powers and interpolation theory for multivalued linear operators and applications to degenerate differential equations

DOI10.21099/tkbjm/1331658708zbMath1251.46009OpenAlexW1585836404MaRDI QIDQ763975

Publication date: 3 April 2012

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tkbjm/1331658708

zbMATH Keywords

fractional powers interpolation theory degenerate differential equations multivalued evolution equations multivalued linear operators singular semigroups

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Degenerate parabolic equations (35K65) Interpolation between normed linear spaces (46B70) Special classes of linear operators (47B99) Linear relations (multivalued linear operators) (47A06) Classical operational calculus (44A45)

Related Items (8)

Abstract degenerate fractional differential inclusions in Banach spaces ⋮ Asymptotically almost periodic solutions of fractional relaxation inclusions with Caputo derivatives ⋮ On a class of abstract degenerate fractional differential equations of parabolic type ⋮ Inverse problems for singular differential-operator equations with higher order polar singularities ⋮ Complex powers of multivalued linear operatorswith polynomially bounded C-resolvent ⋮ Strict Hölder regularity for fractional order abstract degenerate differential equations ⋮ On the behaviour of singular semigroups in intermediate and interpolation spaces and its applications to maximal regularity for degenerate integro-differential evolution equations ⋮ Singular integro-differential equations with applications

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