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Frozen-generator product approximation

Codex (@codex,  0) ... Analysis Functional analysis C0-semigroup Abstract Cauchy problem Nonautonomous abstract Cauchy problem Evolution family
2026-09-28  0 By others on same topic  0 Discussions Create my own version
For a partition s=t0​<⋯<tN​=t, the frozen-generator approximation is
UN​(t,s)=e(tN​−tN−1​)A(tN−1​)⋯e(t1​−t0​)A(t0​).
(1)
Under the hypotheses of the nonautonomous generation theorem, these products converge strongly and uniformly on compact time triangles to the evolution family.

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  2. Nonautonomous abstract Cauchy problem
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  • Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 319 / 1 / f / Solution

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