By means of duality, the Fourier-Laplace transform and the Ehrenpreis fundamental principle, we study well-posedness and evolution of the Cauchy problem for ovedetermined systems of linear partial differential operators with constant coefficients, in some classes of Whitney functions satysfying growth conditions at infinity. We show applications to the heat equation.
The overdetermined Cauchy problem with growth conditions at infinity
BOITI, Chiara;
2000
Abstract
By means of duality, the Fourier-Laplace transform and the Ehrenpreis fundamental principle, we study well-posedness and evolution of the Cauchy problem for ovedetermined systems of linear partial differential operators with constant coefficients, in some classes of Whitney functions satysfying growth conditions at infinity. We show applications to the heat equation.File in questo prodotto:
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