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Abstract
We consider an elliptic equation in a cone, endowed with (possibly inhomogeneous) Neumann conditions. The operator and the forcing terms can also allow non-Lipschitz singularities at the vertex of the cone. In this setting, we provide unique continuation results, both in terms of interior and boundary points. The proof relies on a suitable Almgren-type frequency formula with remainders. As a byproduct, we obtain classification results for blow-up limits.
Original language | English |
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Pages (from-to) | 785-815 |
Number of pages | 31 |
Journal | Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire |
Volume | 37 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Jul 2020 |
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Dive into the research topics of 'Unique continuation principles in cones under nonzero Neumann boundary conditions'. Together they form a unique fingerprint.Projects
- 2 Active
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Partial Differential Equations, free boundaries and applications
30/11/18 → 30/11/22
Project: Research
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