The problem of determining the coefficient for power gradient nonlinearity in semilinear wave equation

DOI10.33048/sibjim.2023.26.210zbMATH Open1542.35454MaRDI QIDQ6558758

T. V. Bugueva, V. G. Romanov

Publication date: 21 June 2024

Published in: Sibirskiĭ Zhurnal Industrial'noĭ Matematiki (Search for Journal in Brave)

zbMATH Keywords

stabilitysemilinear wave equationexistenceinverse problemuniquenessdirect problempower gradient nonlinearity

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Inverse problems for PDEs (35R30) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations
• Inverse problems for semilinear wave equations on Lorentzian manifolds
• On an inverse boundary value problem for a nonlinear elastic wave equation
• Interactions of semilinear progressing waves in two or more space dimensions
• Recovery of a cubic non-linearity in the wave equation in the weakly non-linear regime
• Reconstruction of Lorentzian Manifolds from Boundary Light Observation Sets
• Inverse problems for quadratic derivative nonlinear wave equations

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