Unicité de Cauchy pour des opérateurs de type principal. (Cauchy uniqueness for operators of principal type)

DOI10.1007/BF02790189zbMath0574.35003OpenAlexW2087464336MaRDI QIDQ1063775

Luc Robbiano, Nicolas Lerner

Publication date: 1985

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02790189

zbMATH Keywords

Cauchy problemCarleman estimatespseudo-differential calculusHörmander's theoremsmooth principal symbol

Mathematics Subject Classification ID

Initial value problems for PDEs with pseudodifferential operators (35S10)

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Cites Work

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• Non-unicité du problème de Cauchy
• Uniqueness and non-uniqueness in the Cauchy problem
• Unicité du problème de Cauchy pour des opérateurs du second ordre à symboles réels
• Carleman estimates for partial differential operators with real coefficients
• Wave packets and fourier integral operators
• A Link Between Solvability of Pseudodifferential Equations and Uniqueness in the Cauchy Problem
• ON THE SOLUBILITY OF DIFFERENTIAL EQUATIONS WITH SIMPLE CHARACTERISTICS
• A Class of Bounded Pseudo-Differential Operators