Interaction des singularités pour les équations aux dérivées partielles non linéaires
Interaction des singularités pour les équations de Klein-Gordon non linéaires
Interaction d'ondes simples pour des équations complètement non-linéaires
Interactions de singularités pour une classe d'équations à caractéristiques doubles
Nous précisons, dans le contexte microlocal Sobolev, les résultats de propagations de singularités obtenus par N. Hanges dans le contexte microlocal pour les opérateurs pseudo-differentiels à symbole principal réel et dont la variété caractéristique est la réunion de deux hypersurfaces lisses d’intersection non involutive. Nous obtenons également un résultat de propagation dans un cas non linéaire. Nos démonstrations consistent essentiellement à étudier l’action des paramétrices constantes par...
Interfering solutions of a nonhomogeneous Hamiltonian system.
Interior estimates in the theory of partial differential equations and their application to initial value problems.
Interpolation of Banach spaces, differential geometry and differential equations.
In recent years the study of interpolation of Banach spaces has seen some unexpected interactions with other fields. (...) In this paper I shall discuss some more interactions of interpolation theory with the rest of mathematics, beginning with some joint work with Coifman [CS]. Our basic idea was to look for the methods of interpolation that had interesting PDE's arising as examples.
Interpolation problems in cones. Nota I
In questa nota, si studiano problemi di interpolazione per varietà discrete in spazi di funzioni olomorfe in coni. In particolare si mostra come sia possibile estendere il Principio Fondamentale di Ehrenpreis ad equazioni di convoluzione nella spazio , introdotto in [4] in connessione con problemi di fisica quantistica.
Interpolation problems in cones. Nota II
Si estendono qui i risultati della nota precedente al caso di varietà non discrete. Ciò viene utilizzato per ottenere un teorema di rappresentazione per soluzioni di sistemi di equazioni di convoluzione in spazi di funzioni olomorfe in coni.
Introduction
Invariant Hilbert spaces of holomorphic functions.
Invariant tensors and partial differential equations.
Invariants of characteristics of some systems of partial differential equations.
Inverse eigenvalue problems for semilinear elliptic equations.
Inverse problems and microlocal analysis
Inverses d'opérateurs faiblement hyperboliques à caractéristiques de multiplicité variable dans la classe des opérateurs de Volterra
Inversion de la transformation de Pompeiu locale
Involutive distributions, invariant manifolds, and defining equations.
Involutivité des variétés microcaractéristiques
Involutivity of truncated microsupports
Using a result of J.-M. Bony, we prove the weak involutivity of truncated microsupports. More precisely, given a sheaf on a real manifold and , if two functions vanish on , then so does their Poisson bracket.