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arXiv · 1508.00020

Semilinear p-evolution equations in Sobolev spaces

Alessia Ascanelli·Chiara Boiti
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Abstract

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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Alessia Ascanelli, Chiara Boiti. 2015-07-31. Semilinear p-evolution equations in Sobolev spaces. https://doi.org/10.1016/j.jde.2016.01.035

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