Existence of global solutions and energy decay for the Carrier equation with dissipative term

zbMath1014.35060MaRDI QIDQ1854083

Alfredo T. Cousin, Nickolai A. Larkin, Cicero Lopes Frota

Publication date: 26 January 2003

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

dissipationDirichlet boundary conditionmixed problemexponential decay of energynonlinear dampinglarge dataexistence and uniqueness result

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)

Related Items (6)

Well‐posedness and exponential stability for a nonlinear wave equation with acoustic boundary conditions ⋮ On nonlinear wave equations of Carrier type ⋮ Exact controllability for nonlocal and nonlinear hyperbolic PDEs ⋮ Global solution and exponential decay for a nonlinear hyperbolic equation in Banach spaces ⋮ On a mixed problem with a nonlinear acoustic boundary condition for a non-locally reacting boundaries ⋮ On an evolution equation with acoustic boundary conditions

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