Identifiability and Uniqueness
Conditions under which the inverse problem has a unique solution.
Identifiability and Uniqueness. Conditions under which the inverse problem has a unique solution.
Foundations and canonical references
The standard treatments of identifiability and uniqueness approach the subject from complementary angles. Isakov, Inverse Problems for Partial Differential Equations (2017) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for identifiability and uniqueness include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2017Inverse Problems for Partial Differential Equationsisakov-2017
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