Existence and uniqueness of the generalized solution of a non-homogeneous hyperbolic differential equation modeling the vibrations of a dissipating elastic rod

DOI10.22199/issn.0717-6279-4478OpenAlexW4376627053MaRDI QIDQ6138738

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Publication date: 16 January 2024

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22199/issn.0717-6279-4478

zbMATH Keywords

existence and uniqueness of the generalized solutiondissipative evolution equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Vibrations in dynamical problems in solid mechanics (74H45) Weak solutions to PDEs (35D30)

Cites Work

• A direct method for the boundary stabilization of the wave equation
• On the decay of solutions of some nonlinear dissipative wave equations in higher dimensions
• Nonlinear functional equations in Banach spaces and elliptic super- regularization
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