Well-posedness of equations with fractional derivative via the method of sum

DOI10.1007/s10114-012-0333-7zbMath1280.47051OpenAlexW2116647016MaRDI QIDQ1943011

Shang Quan Bu

Publication date: 14 March 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-0333-7

zbMATH Keywords

well-posednessfractional Sobolev spacesfractional derivativereal interpolation spacesthe method of sum

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Functional-differential equations in abstract spaces (34K30) Spectrum, resolvent (47A10)

Related Items (3)

Normal periodic solutions for the fractional abstract Cauchy problem ⋮ On the well-posedness of degenerate fractional differential equations in vector valued function spaces ⋮ Well-posedness of fractional differential equations on vector-valued function spaces

Cites Work

• The operator-valued Marcinkiewicz multiplier theorem and maximal regularity
• Sommes d'opérateurs linéaires et équations différentielles opérationnelles
• A remark about the interpolation of spaces of continuous, vector-valued functions.
• Well-posedness of equations with fractional derivative
• Sums of bisectorial operators and applications
• OPERATOR-VALUED FOURIER MULTIPLIERS ON PERIODIC BESOV SPACES AND APPLICATIONS
• Schauder estimates for equationswith fractional derivatives
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