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Local Well-Posedness to the Cauchy Problem for an Equation of the Nagumo Type

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In this paper, we show the local well-posedness for the Cauchy problem for the equation of the Nagumo type in this equation (1) in the Sobolev spaces Hs(ℝ). If D… Click to show full abstract

In this paper, we show the local well-posedness for the Cauchy problem for the equation of the Nagumo type in this equation (1) in the Sobolev spaces Hs(ℝ). If D > 0, the local well-posedness is given for s > 1/2 and for s > 3/2 if D=0.

Keywords: local well; cauchy problem; posedness cauchy; problem equation; well posedness

Journal Title: The Scientific World Journal
Year Published: 2022

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