论文信息 - Differentiability of weak solutions to an abstract inhomogeneous differential equation - 字舞流文

Differentiability of weak solutions to an abstract inhomogeneous differential equation

A characterization is given of those strongly continuous semigroups T(t) for which the function f T(t s)f(s) ds is continuously differentiable on t > 0 for each continuous f: [0, oo) -) X.

C. C. Travis | C. Travis

[1] G. Webb. Regularity of solutions to an abstract inhomogeneous linear differential equation , 1977 .

[2] Amnon Pazy,et al. Semigroups of Linear Operators and Applications to Partial Differential Equations , 1992, Applied Mathematical Sciences.

[3] J. Ball. Strongly continuous semigroups, weak solutions, and the variation of constants formula , 1977 .

[4] R. Phillips,et al. Perturbation theory for semi-groups of linear operators , 1953 .

[5] Tosio Kato. Perturbation theory for linear operators , 1966 .

[6] J. M. Ball,et al. Shorter Notes: Strongly Continuous Semigroups, Weak Solutions, and the Variation of Constants Formula , 1977 .

[7] C. S. Hönig. The Green function of a linear differential equation with a lateral condition , 1973 .