The aim of the paper is to consider a Cauchy problem related to the class of hyperbolic operators with double characteristics in the half-space $Omega = R^2 x] 0, + infinity[$. A priori estimates in Sobolev spaces $W^{-r,2}$, with r negative, are shown. Moreover, an existence and uniqueness result is presented.
New results on the Cauchy problem for a class of hyperbolic equations in the half-space / Barbagallo, Annamaria; Esposito, Vincenzo. - 1648:(2015). (Intervento presentato al convegno 12th International Conference of Numerical Analysis and Applied Mathematics) [10.1063/1.4913185].
New results on the Cauchy problem for a class of hyperbolic equations in the half-space
BARBAGALLO, ANNAMARIA;ESPOSITO, VINCENZO
2015
Abstract
The aim of the paper is to consider a Cauchy problem related to the class of hyperbolic operators with double characteristics in the half-space $Omega = R^2 x] 0, + infinity[$. A priori estimates in Sobolev spaces $W^{-r,2}$, with r negative, are shown. Moreover, an existence and uniqueness result is presented.File in questo prodotto:
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