Let $P \in \C [\tau, \zeta_1, \ldots, \zeta_n]$ be a quadratic polynomial for which the $\tau$-variable is non-characteristic. We characterize when the zero-variety $V(P)$ of $P$ satisfies the Phragm\'en-Lindel\"of condition $\PL (\omega)$ or equivalently when the pair $(\R_x^n, \R_\tau \times \R_x^n)$ is of evolution in the class ${\mathcal E}_\omega$ for the partial differential operator $P(D)$ with symbol $P$.
The Phragmen-Lindeloef condition for evolution for quadratic forms
BOITI, Chiara;
2011
Abstract
Let $P \in \C [\tau, \zeta_1, \ldots, \zeta_n]$ be a quadratic polynomial for which the $\tau$-variable is non-characteristic. We characterize when the zero-variety $V(P)$ of $P$ satisfies the Phragm\'en-Lindel\"of condition $\PL (\omega)$ or equivalently when the pair $(\R_x^n, \R_\tau \times \R_x^n)$ is of evolution in the class ${\mathcal E}_\omega$ for the partial differential operator $P(D)$ with symbol $P$.File in questo prodotto:
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