A local obstruction for elliptic operators with real analytic coefficients on flat germs

DOI10.5802/afst.1722OpenAlexW4311867002MaRDI QIDQ2103476

Martino Fassina, Yifei Pan

Publication date: 13 December 2022

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.08623

zbMATH Keywords

elliptic operatorsflat functions

Mathematics Subject Classification ID

Elliptic equations and elliptic systems (35J99) Differential operators in several variables (32W99)

Related Items (1)

Unique continuation for \(\bar{\partial}\) with square-integrable potentials

Cites Work

• An example of a smooth linear partial differential equation without solution
• A remark on unique continuation
• Homogeneous polynomial solutions to constant coefficient PDE's
• A remark on optimal data spaces for classical solutions of \(\bar{\partial}\)
• On the Analyticity of the Solutions of Analytic Non-Linear Elliptic Systems of Partial Differential Equations: Part I. Analyticity in the Interior
• On the analyticity of the solutions of linear elliptic systems of partial differential equations
• Unique Continuation for Elliptic Equations
• Unique continuation for schrodinger operators with singular potentials
• Solving \overline{∂} with prescribed support on Hartogs triangles in ℂ² and ℂℙ²
• Smooth Counterexamples to Strong Unique Continuation for a Beltrami System in ℂ²
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