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Journal Articles Fields Communication Series, Springer-Nature Year : 2022

An operator theoretical approach of some inverse problems

Elodie Pozzi
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Abstract

This work gives an overview of the solution to linear forward and inverse problems for a class of elliptic partial differential equations in two-dimensional domains Ω, in the framework of Banach spaces and operators. We focus on the equation ∇(σ∇u) = 0, with σ in Sobolev spaces W 1,p(Ω), 1 < p < ∞, with Dirichlet or Neumann or mixed boundary conditions. For domains Ω with Dini-smooth boundary ∂Ω, the approach is based on the properties of generalized Hardy spaces.
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Dates and versions

hal-03861571 , version 1 (30-01-2023)

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  • HAL Id : hal-03861571 , version 1

Cite

Juliette Leblond, Elodie Pozzi. An operator theoretical approach of some inverse problems. Fields Communication Series, Springer-Nature, In press, Functions Spaces, Theory and Applications. ⟨hal-03861571⟩
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