Uniqueness in Cauchy Problems for Hyperbolic Differential Operators

DOI10.2307/2154064zbMath0763.35012OpenAlexW4251835274MaRDI QIDQ4015892

Christopher D. Sogge

Publication date: 7 December 1992

Full work available at URL: https://doi.org/10.2307/2154064

zbMATH Keywords

Carleman inequalities

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (6)

Strichartz Estimates for Non-selfadjoint Operators and Applications ⋮ Carleman inequalities and unique continuation for higher-order elliptic differential operators ⋮ TheX^s_θspaces and unique continuation for solutions to the semilinear wave equation ⋮ Book review of: N. Lerner, Carleman inequalities. An introduction and more ⋮ Local state observation for stochastic hyperbolic equations ⋮ Sharp \(L^p\)-Carleman estimates and unique continuation

Cites Work

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• A unique continuation theorem for second order parabolic differential operators
• Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
• Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators
• Regularity properties of Fourier integral operators
• \(L_p\)-\(L_{p'}\)-estimates for Fourier integral operators related to hyperbolic equations
• A priori estimates for the wave equation and some applications
• Oscillatory Integrals and Unique Continuation for Second Order Elliptic Differential Equations

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