most citedLyapunov functions for linear damped wave equations in one-dimensional space with dynamic boundary conditions

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math.AP2023★ 1 cited

Lyapunov functions for linear damped wave equations in one-dimensional space with dynamic boundary conditions

Yacine Chitour, Hoai-Minh Nguyen, Christophe Roman

We establish the exponential decay of the solutions of the damped wave equations in one-dimensional space where the damping coefficient is a nowhere-vanishing function of space. Th…