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A unique continuation result for a system of nonlinear differential equations

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Using an appropriate Carleman-type estimate, we establish a result of unique continuation for a special class of one-dimensional systems that model the evolution of long water waves with small amplitude… Click to show full abstract

Using an appropriate Carleman-type estimate, we establish a result of unique continuation for a special class of one-dimensional systems that model the evolution of long water waves with small amplitude in the presence of surface tension.

Keywords: continuation result; result system; system nonlinear; result; unique continuation

Journal Title: Tamkang Journal of Mathematics
Year Published: 2023

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