Semilinear p-evolution equations in Sobolev spaces
classification
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keywords
equationsorderp-evolutionsobolevspacesassumingcauchycoefficients
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We prove local in time well-posedness in Sobolev spaces of the Cauchy problem for semi-linear p-evolution equations of the first order with real principal part, but complex valued coefficients for the lower order terms, assuming decay conditions on the imaginary parts as |x| goes to infinity.
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