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A uniqueness theorem (or its proof) is, at least within the mathematics of differential equations, often combined with an existence theorem (or its proof) to a combined existence and uniqueness theorem (e.g., existence and uniqueness of solution to first-order differential equations with boundary
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asserting the uniqueness of an object satisfying certain conditions, or the equivalence of all objects satisfying the said conditions. Examples of uniqueness theorems include:
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is a wide generalization of the Cauchy–Kowalevski theorem for systems of linear partial differential equations with analytic coefficients.
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includes a list of related items that share the same name (or similar names).
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for linear partial differential equations with real analytic coefficients.
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101:Uniqueness theorem for Poisson's equation
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109:for the solution of Maxwell's equation.
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107:Electromagnetism uniqueness theorem
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35:for three-dimensional polyhedra.
33:Alexandrov's uniqueness theorem
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83:Holmgren's uniqueness theorem
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39:Black hole uniqueness theorem
95:Thompson uniqueness theorem
50:and uniqueness theorem for
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224:"Existence and Uniqueness"
153:Uniqueness quantification
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29:Cauchy's rigidity theorem
288:Mathematical terminology
200:"The uniqueness theorem"
115:in finite group theory.
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89:Picard–Lindelöf theorem
148:Rigidity (mathematics)
204:farside.ph.utexas.edu
180:mathworld.wolfram.com
176:"Uniqueness Theorem"
283:Uniqueness theorems
174:Weisstein, Eric W.
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