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A heat source reconstruction formula from single internal measurements using a family of null controls

https://doi.org/10.1515/jip-2011-0001
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1088/0266-5611/21/3/020openalex-snapshot
Identification of a point source in a linear advection–dispersion–reaction equation: application to a pollution source problem
inferredcites →https://doi.org/10.1163/1569394042215856openalex-snapshot
Conditional stability in determining a heat source
inferredcites →https://doi.org/10.5194/acp-7-1549-2007openalex-snapshot
Inverse modelling-based reconstruction of the Chernobyl source term available for long-range transport

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4149289openalex-extracted
A Data-Driven Model Reduction Method for Parabolic Inverse Source Problems and its Convergence Analysis
inferred← citeshttps://doi.org/10.1007/s10915-025-03110-wopenalex-snapshot
A Novel Model Reduction Method for Parabolic Inverse Problems Without Inverse Crime
inferred← citeshttps://doi.org/10.1007/s10958-018-3798-9openalex-snapshot
On Approximation of Coefficient Inverse Problems for Differential Equations in Functional Spaces
inferred← citeshttps://doi.org/10.1016/j.automatica.2014.10.049openalex-snapshot
Null controllability of the heat equation using flatness
inferred← citeshttps://doi.org/10.1016/j.camwa.2018.11.015openalex-snapshot
Source time reversal (STR) method for linear elasticity
inferred← citeshttps://doi.org/10.1016/j.jcp.2023.112156openalex-snapshot
A data-driven model reduction method for parabolic inverse source problems and its convergence analysis
inferred← citeshttps://doi.org/10.1016/j.jcp.2025.114645openalex-snapshot
Solving the inverse source problems for wave equation with final time measurements by a data driven approach
inferred← citeshttps://doi.org/10.1088/1361-6420/aa863fopenalex-snapshot
A source reconstruction algorithm for the Stokes system from incomplete velocity measurements
inferred← citeshttps://doi.org/10.1088/1361-6420/ab3497openalex-snapshot
Imaging point sources in heterogeneous environments
inferred← citeshttps://doi.org/10.1109/cdc.2013.6760459openalex-snapshot
Null controllability of the 2D heat equation using flatness
inferred← citeshttps://doi.org/10.1137/21m1409779openalex-snapshot
Stochastic Convergence of Regularized Solutions and Their Finite Element Approximations to Inverse Source Problems
inferred← citeshttps://doi.org/10.1137/24m1692885openalex-snapshot
Convergence Estimates of Regularized Solutions to Inverse Space-Dependent Source Problems with Time-Dependent Boundary Measurement
inferred← citeshttps://doi.org/10.1515/jiip-2018-0108openalex-snapshot
Inverse source problems for the Korteweg–de Vries–Burgers equation with mixed boundary conditions
inferred← citeshttps://doi.org/10.3934/dcdss.2021087openalex-snapshot
Recovering the initial condition in the one-phase Stefan problem
inferred← citeshttps://doi.org/10.3934/ipi.2017002openalex-snapshot
A source time reversal method for seismicity induced by mining
inferred← citeshttps://doi.org/10.4208/nmtma.oa-2017-0124openalex-snapshot
A New Variational Approach for Inverse Source Problems
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