Logarithmic stability inequality in an inverse source problem for the heat equation on a waveguide

DOI10.1080/00036811.2018.1557324zbMath1448.35575arXiv1612.07942OpenAlexW2566230753WikidataQ128720767 ScholiaQ128720767MaRDI QIDQ5120808

Eric Soccorsi, Diomba Sambou, Yavar Kian

Publication date: 16 September 2020

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.07942

zbMATH Keywords

Carleman estimatepartial boundary datatime-dependent source term

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Inverse problems for PDEs (35R30) A priori estimates in context of PDEs (35B45)

Related Items

Lipschitz stability in inverse source problems for a singular parabolic equation ⋮ Uniqueness and stability for the recovery of a time-dependent source in elastodynamics ⋮ Logarithmic Stable Recovery of the Source and the Initial State of Time Fractional Diffusion Equations ⋮ Uniqueness of inverse source problems for general evolution equations ⋮ Inverse source problems in elastodynamics ⋮ Stable recovery of a non-compactly supported coefficient of a Schrödinger equation on an infinite waveguide ⋮ Integral Equation Method for Inverse Scattering Problem from the Far-Field Data ⋮ Uniqueness to some inverse source problems for the wave equation in unbounded domains ⋮ Reconstruction and stable recovery of source terms and coefficients appearing in diffusion equations

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