Sufficient dissipative conditions on boundary coupling ensure global exponential stability in L1 and L∞ norms for 1D scalar conservation law systems, together with well-posedness in L∞ entropy solutions.
Boundary stability of 1-D nonlinear inhomogeneous hyperbolic systems for theC1 norm.SIAM J
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Global boundary stabilization of 1d systems of scalar conservation laws
Sufficient dissipative conditions on boundary coupling ensure global exponential stability in L1 and L∞ norms for 1D scalar conservation law systems, together with well-posedness in L∞ entropy solutions.