On a Mixed Problem for a Linear Coupled System with Variable Coefficients
Date
1998-02-13
Authors
Clark, H. R.
San Gil Jutuca, L. P.
Miranda, Manuel M.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We prove existence, uniqueness and exponential decay of solutions to the mixed problem
u" (x, t) - μ(t)Δu(x, t) + Σni=1 ∂θ/∂xi (x, t) = 0,
θ' (x, t) - Δθ(x, t) + Σni=1 ∂u'/∂xi (x, t) = 0,
with a suitable boundary damping, and a positive real-valued function μ.
Description
Keywords
Mixed problem, Boundary damping, Exponential stability
Citation
Clark, H. R., San Gil Jutuca, L. P., & Miranda, M. M. (1998). On a mixed problem for a linear coupled system with variable coefficients. <i>Electronic Journal of Differential Equations, 1998</i>(04), pp. 1-20.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.