The spread of the potential on a weighted graph.
The stack of microlocal perverse sheaves
In this paper we construct the abelian stack of microlocal perverse sheaves on the projective cotangent bundle of a complex manifold. Following ideas of Andronikof we first consider microlocal perverse sheaves at a point using classical tools from microlocal sheaf theory. Then we will use Kashiwara-Schapira’s theory of analytic ind-sheaves to globalize our construction. This presentation allows us to formulate explicitly a global microlocal Riemann-Hilbert correspondence.
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.
The two-dimensional eikonal equation.
The Tzitzeica surface as solution of PDE systems.
The use of Cerami sequences in critical point theory.
The well-posedness of the Dirichlet problem in the cylindric domain for the multidimensional wave equation.
Théorème de Cauchy-Kovalevsky et théorème d'unicité d'Holmgren pour des fonctions analytiques d'une infinité de variables
Théorème du point fixe et théorème de Cauchy-Kowalewsky-Lednev pour les systèmes semi-linéaires
Theorems on -dimensional Laplace transforms and their applications.
Théorie de la diffusion à courte portée pour des opérateurs à caractéristiques simples
Three solutions of a quasilinear elliptic problem near resonance
Three-level discrete time Galerkin approximations for the non-stationary Navier-Stokes equation
Time deformations of powers of the wave operator.
Time discretization of nonlinear Cauchy problems applying to mixed hyperbolic-parabolic equations.
Topological sectors for Ginzburg-Landau energies.
Topological solutions in the self-dual Chern-Simons theory : existence and approximation
T-Periodic Solutions of Time Dependent Hamiltonian Systems with a Potential Vanishing at Infinity.
Trace theorem on the Heisenberg group
We prove in this work the trace and trace lifting theorem for Sobolev spaces on the Heisenberg groups for hypersurfaces with characteristics submanifolds.
Transformation de Fourier géométrique