Normal forms of real symmetric systems with multiplicity

P. Braam; J. Duistermaat

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Displaying similar documents to “Normal forms of real symmetric systems with multiplicity”

Generalizations of Melin's inequality to systems

Raymond Brummelhuis (2001)

Journées équations aux dérivées partielles

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We discuss a recent necessary and sufficient condition for Melin's inequality for a class of systems of pseudodifferential operators.

Sharp $L^{p}$ Carleman estimates and unique continuation

David Dos Santos Ferreira (2003)

Journées équations aux dérivées partielles

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We will present a unique continuation result for solutions of second order differential equations of real principal type $P (x, D) u + V (x) u = 0$ with critical potential $V$ in $L^{n / 2}$ (where $n$ is the number of variables) across non-characteristic pseudo-convex hypersurfaces. To obtain unique continuation we prove $L^{p}$ Carleman estimates, this is achieved by constructing a parametrix for the operator conjugated by the Carleman exponential weight and investigating its $L^{p} - L^{p^{'}}$ boundedness properties.

Contact hamiltonians distinguishing locally certain Goursat systems

Piotr Mormul (2000)

Banach Center Publications

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For the first time in dimension 9, the Goursat distributions are not locally smoothly classified by their small growth vector at a point. As shown in [M1], in dimension 9 of the underlying manifold 93 different local behaviours are possible and four irregular pairs of them have coinciding small growth vectors. In the present paper we distinguish geometrically objects in three of those pairs. Smooth functions in three variables - contact hamiltonians in the terminology of Arnold, [A]...

The Oka-Weil theorem in topological vector spaces

Bui Dac Tac (1991)

Annales Polonici Mathematici

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It is shown that a sequentially complete topological vector space X with a compact Schauder basis has WSPAP (see Definition 2) if and only if X has a pseudo-homogeneous norm bounded on every compact subset of X.

Some families of pseudo-processes

J. Kłapyta (1994)

Annales Polonici Mathematici

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We introduce several types of notions of dis persive, completely unstable, Poisson unstable and Lagrange uns table pseudo-processes. We try to answer the question of how many (in the sense of Baire category) pseudo-processes with each of these properties can be defined on the space $ℝ^{m}$ . The connections are discussed between several types of pseudo-processes and their limit sets, prolongations and prolongational limit sets. We also present examples of applications of the above results to...

Pseudo-monotonicity and degenerate elliptic operators of second order.

Akdim, Youssef, Azroul, Elhoussine (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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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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Analytic hypoellipticity and local solvability for a class of pseudo-differential operators with symplectic characteristics

Tsutomu Sakurai (1996)

Banach Center Publications

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Weak pseudo-complementations on ADL’s

R. Vasu Babu, Ch. Santhi Sundar Raj, B. Venkateswarlu (2014)

Archivum Mathematicum

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The notion of an Almost Distributive Lattice (abbreviated as ADL) was introduced by U. M. Swamy and G. C. Rao [6] as a common abstraction of several lattice theoretic and ring theoretic generalization of Boolean algebras and Boolean rings. In this paper, we introduce the concept of weak pseudo-complementation on ADL’s and discuss several properties of this.