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Classical solutions for partial functional differential equations with nonautonomous past

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Abstract

We study partial functional differential equations with infinite delay where the history function is modified by a backward evolution family. Under appropriate assumptions and using semigroup techniques we prove the existence of a unique classical solution.

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Die endgültige Fassung ging am 20. 6. 2001 einein

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Fragnelli, G. Classical solutions for partial functional differential equations with nonautonomous past. Arch. Math 79, 479–488 (2002). https://doi.org/10.1007/BF02638385

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