Differentiability of Weak Solutions to an Abstract Inhomogeneous Differential Equation

DOI10.2307/2043955zbMath0484.34044OpenAlexW4255860702MaRDI QIDQ3943277

Curtis C. Travis

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2043955

zbMATH Keywords

strong solutionscharacterization of semigroups

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20)

Related Items (11)

A note on the abstract Cauchy problem ⋮ Existence of solutions of the abstract Cauchy problem of fractional order ⋮ Differential equations in a Banach space ⋮ Perturbation and comparison of cosine operator functions ⋮ A refinement of Baillon’s theorem on maximal regularity ⋮ Problems on correctness of ordinary and inverse problems for evolutionary equations of a special form ⋮ Regularized semigroups of bounded semivariation ⋮ Regularized semigroups of bounded semivariation ⋮ Existence of solutions for the semilinear abstract Cauchy problem of fractional order ⋮ Some existence and regularity results for abstract non-autonomous parabolic equations ⋮ On the abstract nonautonomous parabolic Cauchy problem in the case of constant domains

Cites Work

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• Shorter Notes: Strongly Continuous Semigroups, Weak Solutions, and the Variation of Constants Formula
• Regularity of Solutions to an Abstract Inhomogeneous Linear Differential Equation
• The Green function of a linear differential equation with a lateral condition
• Perturbation Theory for Semi-Groups of Linear Operators

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