EuDML | Browse

Page 1

Displaying 1 – 12 of 12

Generalized Cauchy problems for hyperbolic functional differential systems

Elżbieta Puźniakowska-Gałuch (2014)

Annales Polonici Mathematici

A generalized Cauchy problem for hyperbolic functional differential systems is considered. The initial problem is transformed into a system of functional integral equations. The existence of solutions of this system is proved by using the method of successive approximations. Differentiability of solutions with respect to initial functions is proved. It is important that functional differential systems considered in this paper do not satisfy the Volterra condition.

Generalized Dirac Operators on Nonsmooth Manifolds and Maxwell's Equations.

Marius Mitrea (2001)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

Generalized gradient flow and singularities of the Riemannian distance function

Piermarco Cannarsa (2012/2013)

Séminaire Laurent Schwartz — EDP et applications

Significant information about the topology of a bounded domain $Ω$ of a Riemannian manifold $M$ is encoded into the properties of the distance, $d_{\partial Ω}$ , from the boundary of $Ω$ . We discuss recent results showing the invariance of the singular set of the distance function with respect to the generalized gradient flow of $d_{\partial Ω}$ , as well as applications to homotopy equivalence.

Generalized solutions by Cauchy's method of characteristics

Ştefan Mirică (1987)

Rendiconti del Seminario Matematico della Università di Padova

Generalized Solutions to Nonlinear First-Order Systems.

H.A. Biagioni (1994)

Monatshefte für Mathematik

Geometric restrictions for the existence of viscosity solutions

P. Cardaliaguet, B. Dacorogna, W. Gangbo, N. Georgy (1999)

Annales de l'I.H.P. Analyse non linéaire

Germes de configurations legendriennes stables et fonctions d'Airy-Weber généralisées

Nguyen Hu'u Du'c, Frédéric Pham (1991)

Annales de l'institut Fourier

On sait depuis Maslov, Arnold, etc... associer à presque tout germe de variété lagrangienne ou legendrienne lisse une classe de fonctions oscillantes qui sous des hypothèses génériques à la Thom fournissent des modèles universels pour le comportement d’une onde lumineuse au voisinage de la caustique.Le présent article étend cette construction à une classe de situations où la variété caractéristique est un germe singulier (union de composantes lisses), qui peut néanmoins être stable en ce sens que...

Global analytic and Gevrey surjectivity of the Mizohata operator $D_{2} + i x_{2}^{2 k} D_{1}$

L. Cattabriga, L. Zanghirati (1989)

Journées équations aux dérivées partielles

Global analytic and Gevrey surjectivity of the Mizohata operator $D_{2} + i x_{2}^{2 k} D_{1}$

Lamberto Cattabriga, Luisa Zanghirati (1990)

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

The surjectivity of the operator $D_{2} + i x_{2}^{2 k} D_{1}$ from the Gevrey space $E^{\{s\}} (R^{2})$ , $s \geq 1$ , onto itself and its non-surjectivity from $E^{\{s\}} (R^{3})$ to $E^{\{s\}} (R^{3})$ is proved.

Displaying 1 – 12 of 12

Generalized Cauchy problems for hyperbolic functional differential systems

Generalized Dirac Operators on Nonsmooth Manifolds and Maxwell's Equations.

Generalized gradient flow and singularities of the Riemannian distance function

Generalized solutions by Cauchy's method of characteristics

Generalized Solutions to Nonlinear First-Order Systems.

Geometric restrictions for the existence of viscosity solutions

Germes de configurations legendriennes stables et fonctions d'Airy-Weber généralisées

Global analytic and Gevrey surjectivity of the Mizohata operator $D_{2} + i x_{2}^{2 k} D_{1}$

Global analytic and Gevrey surjectivity of the Mizohata operator $D_{2} + i x_{2}^{2 k} D_{1}$

Global existence for non-linear partial differential equations of the first order

Global smooth solutions of some quasi-linear hyperbolic systems with large data

Global subanalytic solutions of Hamilton–Jacobi type equations

Currently displaying 1 – 12 of 12