Exponential Decay Rates for the Damped Korteweg-de Vries Type Equation
classification
🧮 math.AP
keywords
decayequationkorteweg-devriesdampingexponentialnormwhole
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The exponential decay rate of $L^2-$norm related to the Korteweg-de Vries equation with localized damping posed on whole real line will be established. In addition, by using classical arguments we determine the $H^1-$norm of the solution associated to Korteweg-de Vries equation with damping in whole domain, can not have a decay property for an arbitrary initial data.
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