Determining the Acoustic Impedance in the 1-D Wave Equation via an Optimal Control Problem
From MaRDI portal
Publication:4377399
DOI10.1137/S0363012995283698zbMath0906.49009MaRDI QIDQ4377399
Viorel Barbu, Nicolae H. Pavel
Publication date: 9 February 1998
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Optimality conditions for problems involving partial differential equations (49K20) Wave equation (35L05) Existence theories for optimal control problems involving partial differential equations (49J20)
Related Items (19)
Periodic solutions of two-dimensional wave equations with x-dependent coefficients and Sturm–Liouville boundary conditions ⋮ L∞-optimal control of the periodic 1-D wave equation with x-dependent coefficients ⋮ Closed range mild solution operators and nonconvex optimal control via orthogonality and generalized gradients ⋮ Periodic solutions to one-dimensional wave equation with \(x\)-dependent coefficients ⋮ Existence and multiplicity of periodic solutions for Dirichlet-Neumann boundary value problem of a variable coefficient wave equation ⋮ Time periodic solutions of one-dimensional forced Kirchhoff equations with x -dependent coefficients ⋮ Asymptotic bifurcation results for coupled nonlinear wave equations with variable coefficients ⋮ Infinitely many periodic solutions for a semilinear wave equation with x-dependent coefficients ⋮ Periodic solutions for one dimensional wave equation with bounded nonlinearity ⋮ Time periodic solutions to a nonlinear wave equation with \(x\)-dependent coefficients ⋮ Periodic solutions to nonlinear wave equation with \(X\)-dependent coefficients under the general boundary conditions ⋮ Perturbation method for first- and complete second-order differential equations ⋮ Time-periodic solutions to a nonlinear wave equation with periodic or anti-periodic boundary conditions ⋮ Optimal control of nonlinear one-dimensional periodic wave equation with \(x\)-dependent coefficients ⋮ Periodic solutions on the Sturm–Liouville boundary value problem for two-dimensional wave equation ⋮ Time-periodic solutions to the one-dimensional nonlinear wave equation ⋮ Time periodic solutions of one-dimensional forced Kirchhoff equations with \(x\)-dependent coefficients under spatial periodic conditions ⋮ Existence of multiple periodic solutions to a semilinear wave equation with x-dependent coefficients ⋮ Quasi-Periodic Solutions of Nonlinear Wave Equation with x-Dependent Coefficients
This page was built for publication: Determining the Acoustic Impedance in the 1-D Wave Equation via an Optimal Control Problem