On the uniiqueness of the cauchy problem for elliptic differential operators fiith smooth characteristics of variable multiplicity

DOI10.1080/03605307708820049zbMath0403.35015OpenAlexW1994462249MaRDI QIDQ4188147

Kinji Watanabe, Claude Zuily

Publication date: 1978

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605307708820049

zbMATH Keywords

UniquenessCauchy ProblemCarleman Type EstimatesElliptic Equation of Order MSmooth Characteristics

Mathematics Subject Classification ID

Initial value problems for linear higher-order PDEs (35G10) Elliptic equations and elliptic systems (35J99)

Related Items (3)

On the uniqueness for the Cauchy problem for elliptic equations with triple characteristics ⋮ The Cauchy problem for the 3D Poisson equation: Landweber iteration vs. horizontally diagonalize and fit method ⋮ Second order elliptic operators with non smooth characteristics and the uniqueness of the Cauchy problem

Cites Work

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• On the uniqueness of the Cauchy problem for certain elliptic equations with triple characteristics
• Uniqueness in the Cauchy Problem for Partial Differential Equations
• Unicité du prolongement des solutions des équations elliptiques du quatrième ordre
• On uniqueness in Cauchy’s problem for elliptic operators with characteristics of multiplicity greater than two
• A smooth linear elliptic differential equation without any solution in a sphere
• Uniqueness in the Cauchy problem for partial differential equations with multiple characteristic roots

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