• Aucun résultat trouvé

Errata to : “On pseudosymmetric systems with one space variable”

N/A
N/A
Info
Télécharger
Protected

Academic year: 2022

Partager "Errata to : “On pseudosymmetric systems with one space variable”"

Copied!
1
0
0

Chargement.... (Voir le texte intégral maintenant)

Texte intégral

(1)

Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) Vol. I (2002), pp. 245-245

Errata to:

«

On Pseudosymmetric Systems with One Space Variable

»

TATSUO NISHITANI – SERGIO SPAGNOLO

The Introduction of the paper contains a wrong quotation. An example of non wellposedness is provided by the system

∂tu=1+x 1

−x2 1−x ∂xu,

and not by

∂tu=1+x x

−x 1−x ∂xu

as indicated on page 663. Indeed, the Cauchy Problem for the system

∂tu=C+d(x) a(x) b(x) C−d(x)

∂xu

with ab+d2≡0, is wellposed if and only if the functions a, b, c are constant up to a common factor (and not if and only if a, b, d are equal to zero, as asserted on page 664).

We thank Professor W. Matsumoto who communicated us this mistake.

Références

Télécharger maintenant ( PDF - 1 Page - 52.55 KB )

Documents relatifs

On the one-dimensional parabolic obstacle problem with variable coefficients

This note is devoted to continuity results of the time derivative of the solution to the one- dimensional parabolic obstacle problem with variable coefficients.. It applies to

An approach to state space reduction for systems with dynamic process creation

An approach to state space reduction for systems with dynamic process creation.. Hanna Klaudel, Maciej Koutny, Elisabeth Pelz,

The Cauchy problem for hyperbolic systems with Hölder continuous coefficients with respect to the time variable

S PAGNOLO , Wellposedness in the Gevrey classes of the Cauchy problem for a non strictly hyperbolic equation with coefficients depending on time, Ann.. K AJITANI , Local solution

Polynomial equations with one catalytic variable, algebraic series, and map enumeration

Eulerian planar maps whose finite faces have degree at most m, counted, as above, by the number of edges, the outer-degree, and the degree-distribution of black and white finite

Entropy coding with variable-length rewriting systems

In Example 8, the corresponding FSMs do not have the same number of states (2 for the Hu-Tucker code versus 3 for the proposed VLRS). The EDL is compared in Figure 3 with respect to

Hilbert Space Embeddings of Conditional Distributions with Applications to Dynamical Systems

Condi- tional embeddings largely extend our ability to manipulate distributions in Hilbert spaces, and as an example, we derive a nonpara- metric method for modeling dynamical sys-

On some applications of one wave equation with variable coefficients

The solutions obtained in the work are absent in the known reference manuals on differential equations, and the results obtained for continuously-heterogeneous anisotropic media

Space-Cutoff P (ϕ) 2 Models with Variable Metric

An substantial part of this paper is devoted to the proof of the higher order estimates in the variable metric case.. Let us now describe in more details the content of