Nonlinear wave inverse source problem solved by a method of \(m\)-order homogenization functions

DOI10.1016/j.aml.2018.11.025zbMath1406.35485OpenAlexW2904451344MaRDI QIDQ1726638

Lin Qiu, Fajie Wang, Chein-Shan Liu

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.11.025

zbMATH Keywords

nonlinear wave equationhomogenization functionsinverse wave source problemsuperposition of homogenization functions method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Inverse problems for PDEs (35R30) Second-order quasilinear hyperbolic equations (35L72)

Related Items

Solving the <scp>2D</scp> and <scp>3D</scp> nonlinear inverse source problems of elliptic type partial differential equations by a homogenization function method, Solving nonlinear elliptic inverse source, coefficient and conductivity problems by the methods with bases satisfying the boundary conditions automatically, A novel meshfree method based on spatio-temporal homogenization functions for one-dimensional fourth-order fractional diffusion-wave equations, Solving the inverse conductivity problems of nonlinear elliptic equations by the superposition of homogenization functions method, A spring-damping regularization of the Fourier sine series solution to the inverse Cauchy problem for a 3D sideways heat equation, A novel homogenization function method for inverse source problem of nonlinear time-fractional wave equation, An energetic boundary functional method for solving the inverse source problems of 2D nonlinear elliptic equations

Cites Work

• Unnamed Item
• An implicit Lie-group iterative scheme for solving the nonlinear Klein-Gordon and sine-Gordon equations
• Determination of point wave sources by boundary measurements
• Real-time reconstruction of time-varying point sources in a three-dimensional scalar wave equation
• Estimation of point sources and applications to inverse problems
• Upper and lower estimates in determining point sources in a wave equation