For real analytic F, exact uniqueness F(p)=F(q) implies R(p)=R(q) yields Hölder stability of R on compact subsets of the parameter domain.
Alberti and Matteo Santacesaria
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A hybrid FEM and ELM framework for parameter-dependent PDEs derives existence, uniqueness, regularity, and error estimates for inverse problems in photoacoustic tomography.
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H\"older Stability from Exact Uniqueness for Finite-Dimensional Analytic Inverse Problems
For real analytic F, exact uniqueness F(p)=F(q) implies R(p)=R(q) yields Hölder stability of R on compact subsets of the parameter domain.
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A hybrid FEM and ELM framework for parameter-dependent PDEs derives existence, uniqueness, regularity, and error estimates for inverse problems in photoacoustic tomography.
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