The Fundamental Solution for the Kohn-Laplacian ....b on the Sphere in Cn.
The reverse Hölder inequality for the solution to -harmonic type system.
The surjectivity of a constant coefficient homogeneous differential operator in the real analytic functions and the geometry of its symbol
Hörmander has characterized the surjective constant coefficient partial differential operators on the space of all real analytic functions on by a Phragmén-Lindelöf condition. Geometric implications of this condition and, for homogeneous operators, of the corresponding condition for Gevrey classes are given.
Theoretical aspects and numerical computation of the time-harmonic Green's function for an isotropic elastic half-plane with an impedance boundary condition
This work presents an effective and accurate method for determining, from a theoretical and computational point of view, the time-harmonic Green's function of an isotropic elastic half-plane where an impedance boundary condition is considered. This method, based on the previous work done by Durán et al. (cf. [Numer. Math.107 (2007) 295–314; IMA J. Appl. Math.71 (2006) 853–876]) for the Helmholtz equation in a half-plane, combines appropriately analytical and numerical techniques, which has an important...
Théorie de la diffusion à courte portée pour des opérateurs à caractéristiques simples
Two-dimensional steady-state oscillation problems of anisotropic elasticity.
Un résultat de -cohomologie ; applications aux systèmes différentiels à coefficients constants
Une construction de fonctions plurisousharmoniques nous permet, en utilisant les techniques de Hörmander, d’obtenir un résultat de -cohomologie à croissance. Les méthodes de B. Malgrange nous fournissent alors deux applications aux systèmes différentiels à coefficients constants.
Un teorema sui polinomi differenziali omogenei in
Un’applicazione del teorema del grafico chiuso alla risolubilità di sistemi differenziali del tipo :
Un'estensione del teorema sulle suriezioni fra spazi di Fréchet. Qualche sua applicazione
Uniform analytic-Gevrey regularity of solutions to a semilinear heat equation
We study the Gevrey regularity down to t = 0 of solutions to the initial value problem for a semilinear heat equation . The approach is based on suitable iterative fixed point methods in based Banach spaces with anisotropic Gevrey norms with respect to the time and the space variables. We also construct explicit solutions uniformly analytic in t ≥ 0 and x ∈ ℝⁿ for some conservative nonlinear terms with symmetries.
Un'osservazione sulla risolubilità formale delle equazioni alle derivate parziali lineari a coefficienti costanti
L'autore dà una condizione necessaria e sufficiente per la risolubilità formale degli operatori differenziali a coefficienti costanti, lineari, , in termini di prolungamento, come distribuzioni, delle , tali che .
Zur Integration der partiellen Differentialgleichung ... .
Γ-convergence of functionals on divergence-free fields
We study the stability of a sequence of integral functionals on divergence-free matrix valued fields following the direct methods of Γ-convergence. We prove that the Γ-limit is an integral functional on divergence-free matrix valued fields. Moreover, we show that the Γ-limit is also stable under volume constraint and various type of boundary conditions.
Аналитическое продолжение по параметру функций Грина внешних краевых задач для двумерного уравнения Гельмгольца. II
Аналог задачи Гурса в классе обобщенных функций бесконечного порядка.
Асимптотика фундаментального решения задачи Коши для гиперболического уравнения второго порядка, содержащего большой параметр
Асимптотические оценки при смешанных задач для одного уравнения математической физики.
Асимптотическое разложение решения эллиптического уравнения второго порядка с периодическими быстро осциллирующими коэффициентами
Задача Коши для слабо гиперболических систем линейных дифференциальных уравнений с постоянными коэффициентами