Second order elliptic operators with non smooth characteristics and the uniqueness of the Cauchy problem

DOI10.1007/BF02584656zbMath0571.35023OpenAlexW2005535745MaRDI QIDQ3688758

Claude Zuily

Publication date: 1981

Published in: Boletim da Sociedade Brasileira de Matemática (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02584656

zbMATH Keywords

uniquenessCauchy problemCarleman estimatesanalytic principal partnon smooth characteristics

Mathematics Subject Classification ID

Related Items (4)

Uniqueness of the Cauchy problem for a second order operator ⋮ Sur l'unicité du prolongement des solutions des équations elliptiques dégénérées ⋮ Unicité du problème de Cauchy pour des opérateurs elliptiques ⋮ Uniqueness in the Cauchy problem for a class of differential operators with double characteristics

Cites Work

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• Unique continuation of solutions of partial differential equations and inequalities from manifolds of any dimension
• A unique continuation theorem for an elliptic operator of two independent variables with non-smooth double characteristics
• On the uniqueness of the Cauchy problem for certain elliptic equations with triple characteristics
• First-order linear PDE's and uniqueness in the Cauchy problem
• Uniqueness in the Cauchy Problem for Partial Differential Equations
• On the Uniqueness of the Cauchy Problem II.
• On uniqueness in cauchy problems for elliptic systems of equations
• On the uniiqueness of the cauchy problem for elliptic differential operators fiith smooth characteristics of variable multiplicity
• A smooth linear elliptic differential equation without any solution in a sphere

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