The solvability and controllability of semilinear coupled wave equation

DOI10.1007/s40819-019-0615-1zbMath1415.35202OpenAlexW2917442380MaRDI QIDQ1738713

Surendra Kumar, Shard Rastogi

Publication date: 18 April 2019

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-019-0615-1

zbMATH Keywords

exact controllabilityfixed point theoryDirichlet boundary conditionsmild solutionBanach contraction mapping principlesemilinear thermoelastic system

Mathematics Subject Classification ID

Controllability (93B05) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Cites Work

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• Exact controllability for a one-dimensional wave equation with the fixed endpoint control
• The reachability problem for thermoelastic plates
• Exact controllability for semilinear wave equations in one space dimension
• Polynomial stability of semigroups generated by operator matrices
• Characterization of polynomial decay rate for the solution of linear evolution equation
• Exact Controllability of a Semilinear Thermoelastic System
• Exact Controllability of the One-Dimensional Wave Equation with Locally Distributed Control
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Exact Controllability of a Semilinear Thermoelastic System with Control Solely in Thermal Equation

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