Sets of unique continuation for heat equation

DOI10.1007/s11118-014-9419-4zbMath1307.35071arXiv1403.1522OpenAlexW1991725484MaRDI QIDQ471062

Nadezda Varkentina, Nikolai S. Nadirashvili

Publication date: 13 November 2014

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.1522

zbMATH Keywords

nodal setbackward uniquenessnodal lines

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Continuation and prolongation of solutions to PDEs (35B60)

Cites Work

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• Nodal properties of solutions of parabolic equations
• A unique continuation theorem for second order parabolic differential operators
• Partial differential equations. 4th ed
• A fundamental solution for the heat equation which is supported in a strip
• Backward uniqueness for parabolic equations
• On nodal sets and nodal domains on \(S^2\) and \(\mathbb R^2\)
• Nodal sets of solutions of elliptic and parabolic equations
• Nodal sets of solutions of parabolic equations: II

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