Quantitative unique continuation for solutions of elliptic PDEs

Quantitative unique continuation for solutions of elliptic PDEs

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Eugenia Malinnikova, NTNU/IAS
Fine Hall 314

We discuss a version of the Remez inequality for solutions of second order linear elliptic PDEs and its application to estimates of eigenfunctions for the Laplace-Beltrami operator. The role of the degree of a polynomial is now played by the Almgren frequency of a solution. The talk is based on a joint work with A. Logunov.