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This paper is concerned with the inverse source problem for the transport equation with external force. We show that both direct and inverse problems are uniquely solvable for generic absorption… Click to show full abstract
This paper is concerned with the inverse source problem for the transport equation with external force. We show that both direct and inverse problems are uniquely solvable for generic absorption and scattering coefficients. In particular, for inverse problems, generic injectivity and a stability estimate of the source are derived. The analysis employs the Fredholm theorem and the Santalo’s formula.
Keywords:
equations external;
source;
inverse source;
problems transport;
source problems;
transport equations
Journal Title: Journal of Differential Equations
Year Published: 2021
Link to full text (if available)
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Journal Title: Journal of Differential Equations
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!