A uniqueness result for a nonlinear hyperbolic equation

DOI10.1080/00036810701689515zbMath1147.35111OpenAlexW1971426885WikidataQ58299018 ScholiaQ58299018MaRDI QIDQ5900045

Alfredo Lorenzi, Barbara Kaltenbacher

Publication date: 22 May 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810701689515

zbMATH Keywords

stabilityuniquenessparameter identificationnonlinear hyperbolic PDE

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Inverse problems for PDEs (35R30) Second-order nonlinear hyperbolic equations (35L70)

Related Items (3)

On the linearization of identifying the stored energy function of a hyperelastic material from full knowledge of the displacement field ⋮ Sequential Subspace Optimization for Recovering Stored Energy Functions in Hyperelastic Materials from Time-Dependent Data ⋮ Uniqueness and stability result for Cauchy’s equation of motion for a certain class of hyperelastic materials

Cites Work

• Unicity in an inverse problem for an unknown reaction term in a reaction- diffusion equation
• On uniqueness in inverse problems for semilinear parabolic equations
• Determination of the unknown coefficient \(k(u)\) in the equation \(\nabla\cdot k(u)\nabla u = 0\) from overspecified boundary data
• Identification of nonlinearity in a conductivity equation via the Dirichlet-to-Neumann map
• An Inverse Problem for a Nonlinear Elliptic Differential Equation
• An Inverse Problem for a Nonlinear Diffusion Equation
• Global uniqueness and Hölder stability for recovering a nonlinear source term in a parabolic equation

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