Microlocalisation simultanée et problème de Cauchy ramifié
Microlocalisation tempérée. Application aux distributions holonomes sur une variété complexe
Multidimensional two-particles problem with non-central potential
New singular solutions of Protter's problem for the 3D wave equation.
Non holonomie dans un problème de diffraction
Nonanalyticity of solutions to
It is proved that the solution to the initial value problem , u(0,x) = 1/(1+x²), does not belong to the Gevrey class in time for 0 ≤ s < 1. The proof is based on an estimation of a double sum of products of binomial coefficients.
Nonlinear Evolution Equations and Analyticity. I
Numerical calculation of singularities for Ginzburg-Landau functionals.
Numerical studies of groundwater flow problems with a singularity
The paper studies mesh dependent numerical solution of groundwater problems with singularities, caused by boreholes represented as points, instead of a real radius. We show on examples, that the numerical solution of the borehole pumping problem with point source (singularity) can be related to the exact solution of a regular problem with adapted geometry of a finite borehole radius. The radius providing the fit is roughly proportional to the mesh step. Next we define a problem of fracture-rock...
On a coupled problem between the plate equation and the membrane equation on polygons
On a holomorphic solution of a singular partial differential equation with many simple poles
On functions, whose lines of steepest descent bend proportionally to level lines
On splitting up singularities of fundamental solutions to elliptic equations in ℂ2
It is known that the fundamental solution to an elliptic differential equation with analytic coefficients exists, is determined up to the kernel of the differential operator, and has singularities on characteristics of the equation in ℂ2. In this paper we construct a representation of fundamental solution as a sum of functions, each of those has singularity on a single characteristic.
On the Gevrey hypo-ellipticity of sums of squares of vector fields
The article studies a second-order linear differential operator of the type
On the global solvability of linear partial differential equations with constant coefficients in the space of real analytic functions
This article surveys results on the global surjectivity of linear partial differential operators with constant coefficients on the space of real analytic functions. Some new results are also included.
On the Influence of Lower Order Terms for Propagation of Analytic Singularities for Operators with Constant Coefficients.
On the singularities of 3-D Protter's problem for the wave equation.
On the singularities of solutions of partial differential equations with constant coefficients
One-dimensional adhesion model for large scale structures.
Opérateurs intégraux de Fourier sans phases