Differential and Integral Equations

Wave equation in domains with non-locally reacting boundary

C.L. Frota, L.A. Medeiros, and A. Vicente

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A generalized model for acoustic boundary conditions to non-locally reacting boundaries is studied. We prove the existence, uniqueness, and asymptotic stability of global solutions to the mixed problem for the wave equation of Carrier type with acoustic boundary conditions for non-locally reacting boundaries. Additionally a nonlinear impenetrability condition is considered.

Article information

Differential Integral Equations, Volume 24, Number 11/12 (2011), 1001-1020.

First available in Project Euclid: 20 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35L70: Nonlinear second-order hyperbolic equations 35R01: Partial differential equations on manifolds [See also 32Wxx, 53Cxx, 58Jxx] 35Q35: PDEs in connection with fluid mechanics


Frota, C.L.; Medeiros, L.A.; Vicente, A. Wave equation in domains with non-locally reacting boundary. Differential Integral Equations 24 (2011), no. 11/12, 1001--1020. https://projecteuclid.org/euclid.die/1356012872

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