Regularity theory of hyperbolic equations with non-homogeneous Neumann boundary conditions. II: General boundary data

From MaRDI portal
Publication:1181698

DOI10.1016/0022-0396(91)90106-JzbMath0776.35030MaRDI QIDQ1181698

Roberto Triggiani, Irena Lasiecka

Publication date: 27 June 1992

Published in: Journal of Differential Equations (Search for Journal in Brave)




Related Items (max. 100)

Optimal control of the linear wave equation by time-depending BV-controls: a semi-smooth Newton approachLinearized boundary control method for an acoustic inverse boundary value problemGlobal existence and nonexistence for nonlinear wave equations with damping and source termsOptimal feedback arising in a third-order dynamics with boundary controls and infinite horizonThe SMGT equation from the boundary: regularity and stabilizationSharp regularity theory of second order hyperbolic equations with Neumann boundary control non-smooth in spaceOn the infinitesimal generator of an optimal state semigroupA linear quadratic control problem for the stochastic heat equation driven by Q-Wiener processesBilinear optimal control of the velocity term in a Kirchhoff plate equationHyperbolic equations with mixed boundary conditions: shape differentiability analysisOn the Cauchy problem for hyperbolic functional-differential equationsRecover all coefficients in second-order hyperbolic equations from finite sets of boundary measurements *Analysis of the Barzilai-Borwein step-sizes for problems in Hilbert spacesOn the wave equation with semilinear porous acoustic boundary conditionsSolvability results for the transient acoustic scattering by an elastic obstacleOn the regularity of solutions to the Moore-Gibson-Thompson equation: a perspective via wave equations with memoryLocal and global wellposedness of weak solutions for the wave equation with nonlinear boundary and interior sources of supercritical exponents and dampingInverse problem for structural acoustic interactionSharp Interior and Boundary Regularity of the SMGTJ-Equation with Dirichlet or Neumann Boundary ControlInverse Problem for a Linearized Jordan–Moore–Gibson–Thompson EquationWave equations with super-critical interior and boundary nonlinearitiesInfluence of the hidden regularity on the stability of partially damped systems of wave equationsBoundary stabilization of structural acoustic interactions with interface on a Reissner-Mindlin plateThe Cauchy problem for an abstract second order ordinary differential equationA pseudo-extractor approach to hidden boundary regularity for the wave equation with mixed boundary conditionsConstruction of Artificial Point Sources for a Linear Wave Equation in Unknown MediumGlobal uniqueness and stability in determining the damping and potential coefficients of an inverse hyperbolic problemStrong stability and uniform decay of solutions to a wave equation with semilinear porous acoustic boundary conditionsSensitivity analysis of hyperbolic optimal control problemsAnalysis and computation of the elastic wave equation with random coefficientsWell-posedness of a structural acoustics control model with point observation of the pressureLocal Hadamard well-posedness for nonlinear wave equations with supercritical sources and dampingBoundary controllability of a coupled wave/Kirchhoff systemWave PhenomenaExistence and uniqueness of solutions of hyperbolic equations in divergence form with various boundary conditions on various parts of the boundaryLinear Hyperbolic and Petrowski Type PDEs with Continuous Boundary Control → Boundary Observation Open Loop Map: Implication on Nonlinear Boundary Stabilization with Optimal Decay RatesAlgebraic Riccati equations arising from systems with unbounded input-solution operator: applications to boundary control problems for wave and plate equationsRecovering of damping coefficients for a system of coupled wave equations with Neumann boundary conditions: uniqueness and stabilityGlobal solutions to a structure acoustic interaction model with nonlinear sourcesOn a wave equation with supercritical interior and boundary sources and damping termsHadamard well-posedness for a structure acoustic model with a supercritical source and damping termsA stable non-iterative reconstruction algorithm for the acoustic inverse boundary value problemApproximate boundary synchronization by groups for a coupled system of wave equations with coupled Robin boundary conditionsExact boundary controllability and exact boundary synchronization for a coupled system of wave equations with coupled Robin boundary controlsAn analysis of nonhomogeneous Kuznetsov's equation: Local and global well-posedness; exponential decayRelation between data of dynamic and spectral inverse problemsFrom low to high-and lower-optimal regularity of the SMGTJ equation with Dirichlet and Neumann boundary control, and with point control, via explicit representation formulaeBoundary stabilization of quasilinear Maxwell equationsInverse Obstacle Problem for the Non-Stationary Wave Equation with an Unknown BackgroundBoundary stabilization of a 3-dimensional structural acoustic modelAn Exact Redatuming Procedure for the Inverse Boundary Value Problem for the Wave EquationExact Boundary Synchronization by Groups for a Coupled System of Wave Equations with Coupled Robin Boundary Controls on a General Bounded DomainNonlinear wave equations on the two-dimensional sphere



Cites Work


This page was built for publication: Regularity theory of hyperbolic equations with non-homogeneous Neumann boundary conditions. II: General boundary data