An abstract analyticity in time for solutions of a diffusion equation

DOI10.3792/pja/1195524397zbMath0091.27202OpenAlexW1993856330MaRDI QIDQ3266601

Kosaku Yosida

Publication date: 1959

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

Full work available at URL: https://doi.org/10.3792/pja/1195524397

zbMATH Keywords

partial differential equations

Related Items (11)

Time analyticity for the heat equation and Navier-Stokes equations ⋮ Existence of financial equilibria in continuous time with potentially complete markets ⋮ A Priori Estimates and Unique Continuation Theorems for Second Order Parabolic Equations ⋮ Isomorphic well-posedness of the final value problem for the heat equation with the homogeneous Neumann condition ⋮ On Subordinated Holomorphic Semigroups ⋮ Criteria for analyticity of subordinate semigroups ⋮ A note on time analyticity for ancient solutions of the heat equation ⋮ Certain moving sensors and observability for parabolic equations ⋮ A characterization of real analytic functions ⋮ A remark on the abstract analyticity in time for solutions of a parabolic equation ⋮ A note on the analyticity in time and the unique continuation property for solutions of diffusion equations

Cites Work

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• An operator-theoretical integration of the wave equation
• A unique continuation theorem for solutions of a parabolic differential equation
• On the differentiability of semi-groups of linear operators
• Unicité du prolongement des solutions pour quelques opérateurs différentiels paraboliques

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