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Your search keyword '"Zanghirati, L."' showing total 4 results
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4 results on '"Zanghirati, L."'

1. A necessary condition for $H^\infty$ well-posedness of p-evolution equations

Author

Ascanelli, A., Boiti, C., and Zanghirati, L.

Subjects
Mathematics - Analysis of PDEs
Abstract

We consider p-evolution equations, for $p\geq2$, with complex valued coefficients. We prove that a necessary condition for $H^\infty$ well-posedness of the associated Cauchy problem is that the imaginary part of the coefficient of the subprincipal part (in the sense of Petrowski) satisfies a decay estimate as x goes to infinity.

Published
2014

3. Eigenvalues, eigenfunctions in domains becoming unbounded

Author

Padula, M, Zanghirati, L, Padula, M ( M ), Zanghirati, L ( L ), Chipot, M, Elfanni, A, Rougirel, A, Padula, M, Zanghirati, L, Padula, M ( M ), Zanghirati, L ( L ), Chipot, M, Elfanni, A, and Rougirel, A

Abstract

The aim of this work is to analyze the asymptotic behavior of the eigenmodes of some elliptic eigenvalue problems set on domains becoming unbounded in one or several directions.

Published
2007

4. Global hypoellipticity and global solvability in Gevrey classes on the n-dimensional torus

Author

Angela A. Albanese, Luisa Zanghirati, Albanese, Angela Anna, and Zanghirati, L.

Subjects
Discrete mathematics, Pure mathematics, Class (set theory), N dimensional, Mathematics::Complex Variables, Applied Mathematics, Operator (physics), s-Globally solvable, Mathematics::Analysis of PDEs, s-Globally hypoelliptic, Gevrey spaces of order s, Torus, Partial differential operator, Hypoelliptic operator, Gevrey class, Analysis, Mathematics
Abstract

Let $P$ be a linear partial differential operator with coefficients in the Gevrey class $G^s(T^n)$ where $T^n$ is the $n$-dimensional torus and $s\geq 1$. We prove that if $P$ is $s$-globally hypoelliptic in $T^n$ then its transpose operator $^tP$ is $s$-globally solvable in $T^n$, thus extending to the Gevrey classes the well-known analogous result of HORMANDER in the corresponding $C^\infty$ class.

Published
2004

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