Uniqueness theorem
In mathematics, a uniqueness theorem is a theorem proving that certain conditions determine a unique solution. Examples of uniqueness theorems include:
- Alexandrov's uniqueness theorem of three-dimensional polyhedra
- Black hole uniqueness theorem
- Fundamental theorem of arithmetic, the uniqueness of prime factorization.
- Holmgren's uniqueness theorem for linear partial differential equations with real analytic coefficients.
- Picard–Lindelöf theorem, the uniqueness of solutions to first-order differential equations.
- Thompson uniqueness theorem in finite group theory.
- Uniqueness theorem for Poisson's equation
- Uniqueness case in finite group theory