New approach to identify the initial condition in degenerate hyperbolic equation

DOI10.1080/17415977.2018.1471075zbMath1472.65117OpenAlexW2803214992MaRDI QIDQ4988538

B. Khouiti, El-Hassan Essoufi, Khalid Atifi

Publication date: 17 May 2021

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2018.1471075

zbMATH Keywords

optimizationwave equationinverse problemregularizationdata assimilationdegenerate equationsadjoint method

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Degenerate hyperbolic equations (35L80) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Identification of an unknown spatial source function in a multidimensional hyperbolic partial differential equation with interior degeneracy ⋮ An inverse backward problem for degenerate two-dimensional parabolic equation

Cites Work

• Carleman estimates for singular parabolic equations with interior degeneracy and non-smooth coefficients
• Some controllability results for the 2D Kolmogorov equation
• Identifying initial condition in degenerate parabolic equation with singular potential
• Null controllability of some degenerate wave equations
• Carleman estimates and null controllability of coupled degenerate systems
• Carleman estimates for degenerate parabolic operators with applications to null controllability
• Chaotic solution for the Black-Scholes equation
• Mathematics of thermoacoustic tomography
• Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: New approach to identify the initial condition in degenerate hyperbolic equation