An inverse problem for a semilinear wave equation

DOI10.1134/S1064562422030097zbMath1496.35455OpenAlexW4289883833MaRDI QIDQ2171644

Vladimir G. Romanov

Publication date: 9 September 2022

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562422030097

zbMATH Keywords

semilinear wave equationplane wavesuniquenessX-ray tomography

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Initial value problems for second-order hyperbolic equations (35L15) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Second-order semilinear hyperbolic equations (35L71)

Related Items (3)

An inverse problem for the wave equation with nonlinear dumping ⋮ An inverse problem for electrodynamic equations with nonlinear conductivity ⋮ One-dimensional inverse problem for nonlinear equations of electrodynamics

Cites Work

• Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations
• Inverse problems for semilinear wave equations on Lorentzian manifolds
• Phaseless inverse problems that use wave interference
• Interactions of semilinear progressing waves in two or more space dimensions
• Phaseless problem of determination of anisotropic conductivity in electrodynamic equations
• Inverse problems for nonlinear hyperbolic equations
• Problem of determining the anisotropic conductivity in electrodynamic equations
• Nonlinear interaction of waves in elastodynamics and an inverse problem
• The Mathematics of Computerized Tomography
• Inverse problems for quadratic derivative nonlinear wave equations

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