PARABOLIC SINGULAR LIMIT OF A WAVE EQUATION WITH LOCALIZED INTERIOR DAMPING

DOI10.1142/S0219199701000330zbMath0993.35008OpenAlexW2146915551MaRDI QIDQ2732615

Enrique Zuazua, Aníbal Rodgriguez-Bernal

Publication date: 19 September 2002

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199701000330

zbMATH Keywords

energy estimatedamped wave equationparabolic-elliptic equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Singular perturbations in context of PDEs (35B25)

Related Items (2)

PDE problems with concentrating terms near the boundary ⋮ A nonlinear damped transmission problem as limit of wave equations with concentrating nonlinear terms away from the boundary

Cites Work

• ESTIMATES AND EXISTENCE THEOREMS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary

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