The jump problem for mixed-type equations with defects on the type change line.
The Laplace method of the linear partial differential equations of the -th order
The level crossing problem in semi-classical analysis I. The symmetric case
We describe a microlocal normal form for a symmetric system of pseudo-differential equations whose principal symbol is a real symmetric matrix with a generic crossing of eigenvalues. We use it in order to give a precise description of the microlocal solutions.
The level crossing problem in semi-classical analysis. II. The Hermitian case
This paper is the second part of the paper ``The level crossing problem in semi-classical analysis I. The symmetric case''(Annales de l'Institut Fourier in honor of Frédéric Pham). We consider here the case where the dispersion matrix is complex Hermitian.
The logarithmic delay of KPP fronts in a periodic medium
We extend, to parabolic equations of the KPP type in periodic media, a result of Bramson which asserts that, in the case of a spatially homogeneous reaction rate, the time lag between the position of an initially compactly supported solution and that of a traveling wave grows logarithmically in time.
The mathematical theory of low Mach number flows
The mathematical theory of the passage from compressible to incompressible fluid flow is reviewed.
The mathematical theory of low Mach number flows
The mathematical theory of the passage from compressible to incompressible fluid flow is reviewed.
The modulational regime of three-dimensional water waves and the Davey-Stewartson system
The regularity of weak and very weak solutions of the Poisson equation on polygonal domains with mixed boundary conditions (part I)
We examine the regularity of weak and very weak solutions of the Poisson equation on polygonal domains with data in L². We consider mixed Dirichlet, Neumann and Robin boundary conditions. We also describe the singular part of weak and very weak solutions.
The regularity of weak and very weak solutions of the Poisson equation on polygonal domains with mixed boundary conditions (part II)
We examine the regularity of weak and very weak solutions of the Poisson equation on polygonal domains with data in L². We consider mixed Dirichlet, Neumann and Robin boundary conditions. We also describe the singular part of weak and very weak solutions.
The Riccati differential equation and a diffusion-type equation.
The Riemann method for equations with leading partial derivative in .
The shape and smoothness of stable plasma configurations
The solution of an axially symmetric boundary value problem of the generalized heat equation and its application in the technology of microschemes
The spread of the potential on a weighted graph.
The topological derivative of the Dirichlet integral under formation of a thin ligament.
The total divergence equation.
Three-dimensional mathematical problems of thermoelasticity of anisotropic bodies. I.
Time estimates for the Cauchy problem for a third-order hyperbolic equation.
Transformation semigroups and L1-approximation for size structured population models.