Semilinear p-evolution equations in Sobolev spaces
Analysis of PDEs
2016-10-26 v2
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.
Cite
@article{arxiv.1508.00020,
title = {Semilinear p-evolution equations in Sobolev spaces},
author = {Alessia Ascanelli and Chiara Boiti},
journal= {arXiv preprint arXiv:1508.00020},
year = {2016}
}