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damped wave equations 1eigenvalue asymptotics 1inverse stability theorems 1logarithmic decay 1resolvent estimates 1spectral theory 1

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math.AP2026

From rough local mass to logarithmic spectral ladders for damped waves

Henry Shin

The paper establishes precise conditions on spatially varying damping that guarantee exponential stability of damped wave equations on a torus product, and it links these condition…