Theorems in analysis | Partial differential equations | Uniqueness theorems

Holmgren's uniqueness theorem

In the theory of partial differential equations, Holmgren's uniqueness theorem, or simply Holmgren's theorem, named after the Swedish mathematician Erik Albert Holmgren (1873–1943), is a uniqueness result for linear partial differential equations with real analytic coefficients. (Wikipedia).

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Symbol of a differential operator | Hermann Weyl | Elliptic operator | Cauchy–Kowalevski theorem | Sobolev space | Multi-index notation