The paper constructs generalized cosine and sine families on Banach spaces for the abstract damped wave equation with unbounded damping, establishing existence, uniqueness, regularity, and trigonometric identities for solutions.
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The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces
The paper constructs generalized cosine and sine families on Banach spaces for the abstract damped wave equation with unbounded damping, establishing existence, uniqueness, regularity, and trigonometric identities for solutions.