We prove local in time well-posedness of the Cauchy problem in Sobolev spaces for semi-linear 3-evolution equations of the first order. We require real principal part, but complex valued coefficients for the lower order terms. Therefore decay conditions on the imaginary parts are needed, as x → ∞.
Well-posedness in Sobolev spaces for semi-linear 3-evolution equations
BOITI, Chiara;ASCANELLI, Alessia;ZANGHIRATI, Luisa
2014
Abstract
We prove local in time well-posedness of the Cauchy problem in Sobolev spaces for semi-linear 3-evolution equations of the first order. We require real principal part, but complex valued coefficients for the lower order terms. Therefore decay conditions on the imaginary parts are needed, as x → ∞.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
