1 Structure de contact et équations aux dérivées partielles d'après V. V. Lychagin
A Direct Approach to the Mellin Transform.
A general theory of integral transforms and its applications
A new version of the fast Gauss transform.
A note to the Fourier method of solving partial second-order differential equations
A note to the Laplace transformation
A pseudoconformal compactification of the nonlinear Schrödinger equation and applications.
A system of nonlinear degenerate parabolic equations.
A use of the Laplace method in differential equations
Active optimal control of the KdV equation using the variational iteration method.
Analytic Singularities and Microhyperbolic Boundary Value Problems.
Analytical solution for the time-fractional telegraph equation.
Analytical solution of the hyperbolic heat conduction equation for moving semi-infinite medium under the effect of time-dependent laser heat source.
Borel resummation of formal solutions to nonlinear Laplace equations in 2 variables
We consider a nonlinear Laplace equation Δu = f(x,u) in two variables. Following the methods of B. Braaksma [Br] and J. Ecalle used for some nonlinear ordinary differential equations we construct first a formal power series solution and then we prove the convergence of the series in the same class as the function f in x.
Compacité par compensation : condition nécessaire et suffisante de continuité faible sous une hypothèse de rang constant
Comportement asymptotique de la fonction spectrale de l'opérateur de Laplace-Beltrami sur une variété ayant des singularités coniques
Computing exact solutions to a generalized Lax-Sawada-Kotera-Itô seventh-order KdV equation.
Conditions ensuring T-1(Y) ⊂ Y.
The following theorem is the main result of the paper: Let X be a complex Banach space and T belong to L(X). Suppose that 0 lies at the unbounded component of the set of those l such that lI - T is a Fredholm operator. Let Y be a dense subspace of the dual space X' and S be a closed operator from Y to X such that T'(Y) is contained in Y and TSy = ST'y for every y belonging to Y. Then for every vector x belonging to X', T'x belongs to Y if and only if x belongs to Y.
Correspondance de -modules et transformation de Penrose
Eigenfunctions and fundamental solutions of the fractional two-parameter Laplacian.