Stabilization results for delayed fifth order KdV-type equation in a bounded domain

Capistrano–Filho, Roberto de A.; Martinez, Victor H. Gonzalez

doi:10.48550/arxiv.2112.14854

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2022

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“…Remark 2. After our work has been submitted, we noticed that similar results are obtained in 41 but under a smallness condition of the length 𝓁.…”

Section: |(U(t) Z(t))||supporting

confidence: 76%

Well‐posedness and exponential stability of the Kawahara equation with a time‐delayed localized damping

Chentouf

2022

Math Methods in App Sciences

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The aim of this article is to investigate the well‐posedness and stability problems of the so‐called Kawahara equation under the presence of an interior localized delayed damping. The system is shown to be well‐posed. Furthermore, we prove that the trivial solution is exponentially stable in spite of the delay effect. Specifically, local and semi‐global stability results are established according to the properties of the spatial distribution of the delay term.

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“…Remark 2. After our work has been submitted, we noticed that similar results are obtained in 41 but under a smallness condition of the length 𝓁.…”

Section: |(U(t) Z(t))||supporting

confidence: 76%

Well‐posedness and exponential stability of the Kawahara equation with a time‐delayed localized damping

Chentouf

2022

Math Methods in App Sciences

View full text Add to dashboard Cite

show abstract

Stabilization results for delayed fifth order KdV-type equation in a bounded domain

Cited by 1 publication

References 0 publications

Well‐posedness and exponential stability of the Kawahara equation with a time‐delayed localized damping

Well‐posedness and exponential stability of the Kawahara equation with a time‐delayed localized damping

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