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A biharmonic transmission problem in Lp-spaces

Abstract : In this work we study, by a semigroup approach, a transmission problem based on biharmonic equations with boundary and transmission conditions, in two juxtaposed habitats. We give a result of existence and uniqueness of the classical solution in L p-spaces, for p ∈ (1, +∞), using analytic semigroups and operators sum theory in Banach spaces. To this end, we invert explicitly the determinant operator of the transmission system in L p-spaces using the E ∞-calculus and the Dore-Venni sums theory.
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https://hal.archives-ouvertes.fr/hal-02927622
Contributor : Alexandre Thorel <>
Submitted on : Tuesday, September 1, 2020 - 6:06:07 PM
Last modification on : Tuesday, September 8, 2020 - 3:29:23 AM

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  • HAL Id : hal-02927622, version 1

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Alexandre Thorel. A biharmonic transmission problem in Lp-spaces. 2020. ⟨hal-02927622⟩

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