A backward uniqueness result for the wave equation with absorbing boundary conditions

DOI10.3934/EECT.2015.4.347zbMath1337.47111OpenAlexW2523991231MaRDI QIDQ258808

Michael Renardy

Publication date: 10 March 2016

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2015.4.347

zbMATH Keywords

wave equation\(C_0\)-semigroupsabsorbing boundary conditionsbackward uniquenessPhragmen-Lindelöf theorem

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Wave equation (35L05) Applications of operator theory to differential and integral equations (47N20) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Novel Transparent Boundary Conditions for the Regularized Long Wave Equation ⋮ Identification of source terms in wave equation with dynamic boundary conditions

Cites Work

• Backward uniqueness for linearized compressible flow
• Backward uniqueness of the s.c. semigroup arising in parabolic-hyperbolic fluid-structure interaction
• Backwards uniqueness of the $C_{0}$-semigroup associated with a parabolic-hyperbolic Stokes-Lamé partial differential equation system
• Backward uniqueness for thermoelastic plates with rotational forces

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