Un’applicazione del teorema del grafico chiuso alla risolubilità di sistemi differenziali del tipo :
Unbeschränkte Randwerte bei parabolischen Differentialgleichungen.
Unconditional uniqueness of higher order nonlinear Schrödinger equations
We show the existence of weak solutions in the extended sense of the Cauchy problem for the cubic fourth order nonlinear Schrödinger equation with the initial data , where and , , or , or . Moreover, if , or if , or if and we show that the Cauchy problem is unconditionally wellposed in . Similar results hold true for all higher order nonlinear Schrödinger equations and mixed order NLS due to a factorization property of the corresponding phase factors. For the proof we employ the normal...
Une justification de modèles de plaques viscoplastiques
Une méthode intégrale de frontière. Application au Laplacien et à l'élasticité.
The aim of the paper is to give a method to solve boundary value problems associated to the Helmholtz equation and to the operator of elasticity. We transform these problems in problems on the boundary Gamma of an open set of R3. After introducing a symplectic form on H1,2(G) x H-1,2(G) we obtain the adjoint of the boundary operator employed. Then the boundary problem has a solution if and only if the boundary conditions are orthogonal, for this bilinear form, to the elements of the kernel, in a...
Une remarque sur le théorème de Cauchy-Kowalewski
Unicité du problème de Cauchy pour des opérateurs elliptiques
Unicité forte pour des opérateurs elliptiques: Inégalités et contre-exemples
Unicité pour les équations non linéaires du premier ordre
Uniform convergence of a Galerkin-type method for a non-linear boundary value problem
Uniform in time description for weak solutions of the Hopf equation with nonconvex nonlinearity.
Unique continuation theorems for solutions of partial differential equations and inequalities
Unique local existence of solution in low regularity space of the Cauchy problem for the mKdV equation with periodic boundary condition
Uniqueness and approximation of Solutions of first order non linear equations.
Uniqueness and regularity properties of linear operators and their applications
Uniqueness for first-order hyperbolic systems - with applications to secnd-order elliptic third-order and Maxwell's equations.
Uniqueness for positive solutions of -Laplacian problem in an annulus
Uniqueness in a one-dimensional problem of finding a time-dependent potential.
Uniqueness in Rough Almost Complex Structures, and Differential Inequalities
The study of -holomorphic maps leads to the consideration of the inequations , and . The first inequation is fairly easy to use. The second one, that is relevant to the case of rough structures, is more delicate. The case of vector valued is strikingly different from the scalar valued case. Unique continuation and isolated zeroes are the main topics under study. One of the results is that, in almost complex structures of Hölder class , any -holomorphic curve that is constant on a non-empty...
Uniqueness of the Cauchy problem for convolution equations.