Differential and Integral Equations

Approximation results for semigroups generated by multivalued linear operators and applications

Angelo Favini and Marco Fuhrman

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We establish convergence results for sequences of multivalued linear operators $A_n$. When each $A_n$ generates a differentiable semigroup, we state conditions for convergence of the corresponding semigroups and of the solutions of linear differential inclusions governed by $A_n$. Through a method already considered in the literature, this enables us to prove new convergence properties for a sequence of degenerate evolution equations. Applications to partial differential problems are also given.

Article information

Differential Integral Equations, Volume 11, Number 5 (1998), 781-805.

First available in Project Euclid: 30 April 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 47D06: One-parameter semigroups and linear evolution equations [See also 34G10, 34K30]
Secondary: 34G10: Linear equations [See also 47D06, 47D09]


Favini, Angelo; Fuhrman, Marco. Approximation results for semigroups generated by multivalued linear operators and applications. Differential Integral Equations 11 (1998), no. 5, 781--805. https://projecteuclid.org/euclid.die/1367329671

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