On a Mixed Problem for a Linear Coupled System with Variable Coefficients
Date
1998-02-13Metadata
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We prove existence, uniqueness and exponential decay of solutions to the mixed problem
u" (x,t) - μ(t)Δu(x,t) + Σn i=1 ∂θ/∂xi (x,t) = 0,
θ' (x,t) - Δθ(x,t) + Σn i=1 ∂u'/∂xi (x,t) = 0,
with a suitable boundary damping, and a positive real-valued function μ.