Existence and Boundary Stabilization of a Nonlinear Hyperbolic Equation with Time-dependent Coefficients
| dc.contributor.author | Cavalcanti, Marcelo M. ( ) | |
| dc.contributor.author | Domingos Cavalcanti, V. N. (  0000-0002-1047-3763 ) | |
| dc.contributor.author | Soraino, J. A. ( ) | |
| dc.date.accessioned | 2018-11-15T22:45:54Z | |
| dc.date.available | 2018-11-15T22:45:54Z | |
| dc.date.issued | 1998-03-10 | |
| dc.identifier.citation | Cavalcanti, M. M., Domingos Cavalcanti, V. N., & Soriano, J. A. (1998). Existence and boundary stabilization of a nonlinear hyperbolic equation with time-dependent coefficients. Electronic Journal of Differential Equations, 1998(08), pp. 1-21. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/7796 | |
| dc.description.abstract | In this article, we study the hyperbolic problem K(x, t)u>tt - ∑nj=1 (α(x, t) uxj) + F(x, t, u, ∇u) = 0 u = 0 on Γ1, ∂u / ∂v + β(x)ut = 0 on Γ0 u(0) = u0, ut(0) = u1 in Ω, where Ω is a bounded region in ℝn whose boundary is partitioned into two disjoint sets Γ0, Γ1. We prove existence, uniqueness, and uniform stability of strong and weak solutions when the coefficients and the boundary conditions provide a damping effect. | en_US |
| dc.format | Text | |
| dc.format.extent | 21 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Southwest Texas State University, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 1998, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Boundary stabilization | en_US |
| dc.subject | Asymptotic behaviour | en_US |
| dc.title | Existence and Boundary Stabilization of a Nonlinear Hyperbolic Equation with Time-dependent Coefficients | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.description.department | Mathematics |
