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Sul problema di Dirichlet in un cono per l’equazione $Δ^{m} u = f$

Antonio Bove — 1975

Rendiconti del Seminario Matematico della Università di Padova

Alcuni risultati di teoria spettrale per l'operatore di Laplace in regioni non limitate con frontiera non regolare

Antonio Bove — 1977

Rendiconti del Seminario Matematico della Università di Padova

Problème de Cauchy pour des opérateurs fuchsiens

Antonio Bove — 1984

Journées équations aux dérivées partielles

Conditions de Levi pour le problème de Cauchy pour une classe d'équations hyperboliques à caractéristique triples

Enrico Bernardi; Antonio Bove — 1988

Journées équations aux dérivées partielles

On the Gevrey hypo-ellipticity of sums of squares of vector fields

Antonio Bove; François Treves — 2004

Annales de l’institut Fourier

The article studies a second-order linear differential operator of the type $- L =$ $X_{1}^{2} + \dots + X_{r}^{2}$ , i. e., a sum of squares of real, and real-analytic, vector fields $X_{i}$ . The conjectured necessary and sufficient condition for analytic hypo- ellipticity, based on the Poisson stratification of the characteristic variety, is recalled in simple analytic and geometric terms. It is conjectured that the microlocal Gevrey hypo-ellipticity of $L$ depends on the restrictions of the principal symbol $σ (L)$ to $2 D$ or $4 D$ symplectic...

Straightening of a noncylindrical region and evolution equations

Antonio Bove; Bruno Franchi; Enrico Obrecht — 1984

Rendiconti del Seminario Matematico della Università di Padova

Cauchy problem for hyperbolic operators with triple characteristics of variable multiplicity

Enrico Bernardi; Antonio Bove; Vesselin Petkov — 2010

Journées Équations aux dérivées partielles

We study a class of third order hyperbolic operators $P$ in $G = Ω \cap {0 \leq t \leq T}, Ω \subset ℝ^{n + 1}$ with triple characteristics on $t = 0$ . We consider the case when the fundamental matrix of the principal symbol for $t = 0$ has a couple of non vanishing real eigenvalues and $P$ is strictly hyperbolic for $t > 0 .$ We prove that $P$ is strongly hyperbolic, that is the Cauchy problem for $P + Q$ is well posed in $G$ for any lower order terms $Q$ .

Elliptic Equations Containing the Term $r\frac{\partial}{\partial r}$ in a Half Space

Antonio Bove; Bruno Franchi; Enrico Obrecht — 1979

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

In questa Nota si considerano, in opportuni spazi con peso, problemi al contorno in un semispazio per operatori del tipo $A(x,\partial)+x\cdot\nabla+q^{2}$ dove $A(x,\partial)$ è un operatore ellittico e $q$ è un parametro complesso.

An Elliptic Boundary Value Problem with Unbounded Coefficients in a Half Space

Antonio Bove; Bruno Franchi; Enrico Obrecht — 1978

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

In questa nota diamo alcuni risultati su di una classe di problemi al contorno per equazioni ellittiche a coefficienti polinomiali in un semispazio. Si stabilisce 1'esistenza di una parametrice destra e di una parametrice sinistra del problema; si stabiliscono inoltre stime a priori del problema e di quello aggiunto.

On an ODE Relevant for the General Theory of the Hyperbolic Cauchy Problem

Bernardi, Enrico; Bove, Antonio — 2008

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 34E20, 35L80, 35L15. In this paper we study an ODE in the complex plane. This is a key step in the search of new necessary conditions for the well posedness of the Cauchy Problem for hyperbolic operators with double characteristics.

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Currently displaying 1 – 10 of 10

Sul problema di Dirichlet in un cono per l’equazione $Δ^{m} u = f$

Alcuni risultati di teoria spettrale per l'operatore di Laplace in regioni non limitate con frontiera non regolare

Problème de Cauchy pour des opérateurs fuchsiens

Conditions de Levi pour le problème de Cauchy pour une classe d'équations hyperboliques à caractéristique triples

On the Gevrey hypo-ellipticity of sums of squares of vector fields

Straightening of a noncylindrical region and evolution equations

Cauchy problem for hyperbolic operators with triple characteristics of variable multiplicity

Elliptic Equations Containing the Term $r\frac{\partial}{\partial r}$ in a Half Space

An Elliptic Boundary Value Problem with Unbounded Coefficients in a Half Space

On an ODE Relevant for the General Theory of the Hyperbolic Cauchy Problem