Global analytic and Gevrey surjectivity of the Mizohata operator $D_2+ix_2^{2k}D_1$

L. Cattabriga; L. Zanghirati

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Solution of Cauchy problems modulo flat functions

F. Treves (1974-1975)

Séminaire Équations aux dérivées partielles (Polytechnique)

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Analytic and Gevrey Hypoellipticity

Luigi Rodino (1985)

Publications mathématiques et informatique de Rennes

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On a class of unsolvable operators

Massimo Cicognani, Luisa Zanghirati (1993)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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A representation theorem for operators on a space of interval functions.

Chatfield, J.A. (1978)

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Some natural operators on vector fields

Jiří M. Tomáš (1995)

Archivum Mathematicum

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We determine all natural operators transforming vector fields on a manifold $M$ to vector fields on $T^{*} T_{1}^{2} M$ , $dim M \geq 2$ , and all natural operators transforming vector fields on $M$ to functions on $T^{*} T T_{1}^{2} M$ , $dim M \geq 3$ . We describe some relations between these two kinds of natural operators.

Extensions of linear operators from hyperplanes of $l_{\infty}^{(n)}$

Marco Baronti, Vito Fragnelli, Grzegorz Lewicki (1995)

Commentationes Mathematicae Universitatis Carolinae

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Let $Y \subset l_{\infty}^{(n)}$ be a hyperplane and let $A \in ℒ (Y)$ be given. Denote $\begin{matrix} 𝒜 = & {L \in ℒ (l_{\infty}^{(n)}, Y) : L ∣ Y = A} and & λ_{A} = inf {∥ L ∥ : L \in 𝒜} . \end{matrix}$ In this paper the problem of calculating of the constant $λ_{A}$ is studied. We present a complete characterization of those $A \in ℒ (Y)$ for which $λ_{A} = ∥ A ∥$ . Next we consider the case $λ_{A} > ∥ A ∥$ . Finally some computer examples will be presented.

Gevrey hypoellipticity for partial differential equations with characteristics of higher multiplicity.

Rodino, Luigi, De Donno, Giuseppe (2000)

Rendiconti del Seminario Matematico

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Displaying similar documents to “Global analytic and Gevrey surjectivity of the Mizohata operator D 2 + i x 2 2 k D 1 ”

Solution of Cauchy problems modulo flat functions

Analytic and Gevrey Hypoellipticity

On a class of unsolvable operators

A representation theorem for operators on a space of interval functions.

Some natural operators on vector fields

Extensions of linear operators from hyperplanes of l ∞ ( n )

Gevrey hypoellipticity for partial differential equations with characteristics of higher multiplicity.

Displaying similar documents to “Global analytic and Gevrey surjectivity of the Mizohata operator $D_{2} + i x_{2}^{2 k} D_{1}$ ”

Extensions of linear operators from hyperplanes of $l_{\infty}^{(n)}$