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We study the fourth order semilinear suspension bridge problem with restoring force h(u) and linear damping $$\delta u_{t}$$ . Using the multiplier method, we first establish the observability inequality of… Click to show full abstract
We study the fourth order semilinear suspension bridge problem with restoring force h(u) and linear damping $$\delta u_{t}$$ . Using the multiplier method, we first establish the observability inequality of the corresponding system without damping term. Then we show an equivalence between observability and exponential stabilization of this system by using an appropriate decomposition technique and the semigroup method.
Keywords:
bridge problem;
exponential stabilization;
observability;
observability exponential;
suspension bridge
Journal Title: Ricerche Di Matematica
Year Published: 2021
Link to full text (if available)
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Journal Title: Ricerche Di Matematica
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!