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arxiv: 1609.01376 · v3 · pith:P4DIU2QInew · submitted 2016-09-06 · 🧮 math.AP

Unique continuation for fractional orders of elliptic equations

classification 🧮 math.AP
keywords continuationellipticequationsfractionalordersuniquealmgren-typecoefficients
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We establish the strong unique continuation property of fractional orders of linear elliptic equations with Lipschitz coefficients by establishing monotonicity of some Almgren-type frequency functional via an extension procedure.

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