\(L^ p\) estimate for abstract linear parabolic equations

DOI10.3792/pjaa.67.197zbMath0754.35018OpenAlexW1978810238MaRDI QIDQ1184878

Hermann Sohr, Yoshikazu Giga, Mariko Giga

Publication date: 28 June 1992

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.67.197

zbMATH Keywords

zeta-convexity

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Parabolic equations and parabolic systems (35K99)

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Cites Work

• On operators with bounded imaginary powers in Banach spaces
• Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
• On the abstract linear evolution equations in Banach spaces
• Neumann-type expansion of reflexive generalized inverses of a matrix and the hyperpower iterative method
• On the abstract evolution equation of parabolic type
• On the closedness of the sum of two closed operators

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