Uniqueness for an ill-posed problem

DOI10.1016/0022-0396(88)90026-5zbMath0699.35162OpenAlexW1963926682MaRDI QIDQ913118

Nicolas Lerner

Publication date: 1988

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(88)90026-5

zbMATH Keywords

energy estimateswave equationperturbationuniquenessill-posed problemFourier-Gauss transformation

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Second-order hyperbolic equations (35L10)

Related Items

Théorème d'unicité adapté au contrôle des solutions des problèmes hyperboliques ⋮ Tunneling estimates and approximate controllability for hypoelliptic equations ⋮ A uniqueness theorem for second order hyperbolic differential equations ⋮ Quantitative unique continuation for operators with partially analytic coefficients. Application to approximate control for waves ⋮ Unique continuation for the elastic transversely isotropic dynamical systems and its application ⋮ Unique continuation along curves and hypersurfaces for second order anisotropic hyperbolic systems with real analytic coefficients ⋮ Uniform observability estimates for linear waves ⋮ Conditional Stability for the Hexagonal Anisotropic Elastic Dynamical Systems

Cites Work

• Unicité de Cauchy pour des opérateurs de type principal. (Cauchy uniqueness for operators of principal type)
• Non unicite du problem de cauchy pour des operateurs a symbole principal reel
• Uniqueness for the Characteristic Cauchy Problem and Strong Unique Continuation for Higher Order Partial Differential Inequalities
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