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On a coupled linear system with homogeneous damping. (English) Zbl 1165.35324
Summary: We investigate the global existence of both strong and weak solutions for a linear coupled system with homogeneous feedback boundary conditions in bounded-open domain $$\Omega$$ in $$\mathbb R^n$$ with $$n\in\mathbb N$$. We also prove the exponential decay of total energy associated with weak solutions.

##### MSC:
 35B40 Asymptotic behavior of solutions to PDEs