Localization and wave fronts

K. G. Andersson

Displaying similar documents to “Localization and wave fronts”

Hyperbolic equations and irregularity

H. Komatsu (1980-1981)

Séminaire Équations aux dérivées partielles (Polytechnique)

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A sufficient condition for the well posedness of a Goursat problem

Carvalho e Silva, Jaime (1988)

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Localizations of partial differential operators and surjectivity on real analytic functions

Michael Langenbruch (2000)

Studia Mathematica

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Let P(D) be a partial differential operator with constant coefficients which is surjective on the space A(Ω) of real analytic functions on an open set $Ω \subset ℝ^{n}$ . Then P(D) admits shifted (generalized) elementary solutions which are real analytic on an arbitrary relatively compact open set ω ⊂ ⊂ Ω. This implies that any localization $P_{m, Θ}$ of the principal part $P_{m}$ is hyperbolic w.r.t. any normal vector N of ∂Ω which is noncharacteristic for $P_{m, Θ}$ . Under additional assumptions $P_{m}$ must be locally hyperbolic. ...

Classical conormal, semilinear waves

J. Rauch, M. Reed (1985-1986)

Séminaire Équations aux dérivées partielles (Polytechnique)

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A sufficient condition for existence of real analytic solutions of P.D.E. with constant coefficients, in open sets of $ℝ^{2}$

Giuseppe Zampieri (1980)

Rendiconti del Seminario Matematico della Università di Padova

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Nonlinear effectively hyperbolic equations

N. Iwasaki (1985-1986)

Séminaire Équations aux dérivées partielles (Polytechnique)

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A result on the well posedness of the Cauchy problem for a class of hyperbolic operators with double characteristics

Milena Petrini (1995)

Rendiconti del Seminario Matematico della Università di Padova

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Hyperbolic Fourth-R Quadratic Equation and Holomorphic Fourth-R Polynomials

Apostolova, Lilia N. (2012)

Mathematica Balkanica New Series

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MSC 2010: 30C10, 32A30, 30G35 The algebra R(1; j; j2; j3), j4 = ¡1 of the fourth-R numbers, or in other words the algebra of the double-complex numbers C(1; j) and the corresponding functions, were studied in the papers of S. Dimiev and al. (see [1], [2], [3], [4]). The hyperbolic fourth-R numbers form other similar to C(1; j) algebra with zero divisors. In this note the square roots of hyperbolic fourth-R numbers and hyperbolic complex numbers are found. The quadratic equation...

Propagation of singularities for interior mixed hyperbolic problem

G. Eskin (1976-1977)

Séminaire Équations aux dérivées partielles (Polytechnique)

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Levi-flat filling of real two-spheres in symplectic manifolds (II)

Hervé Gaussier, Alexandre Sukhov (2012)

Annales de la faculté des sciences de Toulouse Mathématiques

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We consider a compact almost complex manifold $(M, J, ω)$ with smooth Levi convex boundary $\partial M$ and a symplectic tame form $ω$ . Suppose that $S^{2}$ is a real two-sphere, containing complex elliptic and hyperbolic points and generically embedded into $\partial M$ . We prove a result on filling $S^{2}$ by holomorphic discs.