Inverse boundary-value problem for the equation of longitudinal wave propagation with non-self-adjoint boundary conditions

DOI10.2298/FIL1916259AzbMath1499.35711MaRDI QIDQ5864258

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Publication date: 3 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

existenceinverse problemuniquenessclassical solutionself-adjoint boundary conditionslongitudinal wave propagationoverdetermination condition

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)

Related Items (3)

THE UNIQUE SOLVABILITY OF A NONLOCAL INVERSE BOUNDARY-VALUE PROBLEM FOR THE PSEUDO-HYPERBOLIC EQUATION OF FOURTH ORDER ⋮ An inverse problem in estimating the time dependent source term and initial temperature simultaneously by the polynomial regression and conjugate gradient method ⋮ Simultaneous determination of the time‐dependent potential and force terms in a fourth‐order Rayleigh–Love equation

Cites Work

• On solvability of boundary value problems for kinetic operator-differential equations
• A uniqueness theorem for solution of one Dirichlet problem
• Inverse problems for general second order hyperbolic equations with time-dependent coefficients
• Uniqueness of the solution of the Dirichlet problem for an \(n\)-dimensional pseudoparabolic equation
• Elements of the theory of inverse problems
• Composite type equations and inverse problems
• Inverse and ill-posed problems. Theory and applications.
• A regularity criterion of smooth solution for the 3D viscous Hall-MHD equations
• Inverse problems of recovering external sources in the equation of longitudinal wave propagation
• Three spectra inverse Sturm–Liouville problems with overlapping eigenvalues
• Inverse problems for partial differential equations
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