Generalized viscosity solutions of elliptic PDEs and boundary conditions.
Generalized Weierstrass ...-functions and KP flows in affine spaces.
Générateurs infinitésimaux et propriétés géométriques pour certaines équations complètement non linéaires.
Nous nous proposons, dans ce travail, d'étudier certaines propriétés géométriques telles que diverses symétries et diverses concavités radiales, directionnelles, etc., pour des équations completement non linéaires (...).
Generating singularities of solutions of quasilinear elliptic equations using Wolff’s potential
We consider a quasilinear elliptic problem whose left-hand side is a Leray-Lions operator of -Laplacian type. If and the right-hand side is a Radon measure with singularity of order at , then any supersolution in has singularity of order at least at . In the proof we exploit a pointwise estimate of -superharmonic solutions, due to Kilpeläinen and Malý, which involves Wolff’s potential of Radon’s measure.
Generation of analytic semigroups by elliptic operators of second order in Hölder spaces
Generation of analytic semi-groups in L2 for a class of second order degenerate elliptic operators
Generation of Interface for an Allen-Cahn Equation with Nonlinear Diffusion
In this note, we consider a nonlinear diffusion equation with a bistable reaction term arising in population dynamics. Given a rather general initial data, we investigate its behavior for small times as the reaction coefficient tends to infinity: we prove a generation of interface property.
Generations of waves at an inertial surface due to explosions.
Generators of hyperbolic heat equation in nonlinear thermoelasticity
Generic behaviour of one-dimensional blow up patterns
Generic bifurcations of vector fields with a singularity of codimension 3
Generic existence result for an eigenvalue problem with rapidly growing principal operator
We consider the eigenvalue problemin the case where the principal operator has rapid growth. By using a variational approach, we show that under certain conditions, almost all are eigenvalues.
Generic existence result for an eigenvalue problem with rapidly growing principal operator
We consider the eigenvalue problem in the case where the principal operator has rapid growth. By using a variational approach, we show that under certain conditions, almost all λ > 0 are eigenvalues.
Generic implementation of finite element methods in the Distributed and Unified Numerics Environment (DUNE)
In this paper we describe PDELab, an extensible C++ template library for finite element methods based on the Distributed and Unified Numerics Environment (Dune). PDELab considerably simplifies the implementation of discretization schemes for systems of partial differential equations by setting up global functions and operators from a simple element-local description. A general concept for incorporation of constraints eases the implementation of essential boundary conditions, hanging nodes and varying...
Generic one-parameter flows on the torus and bifurcations of periodic orbits
Generic properties of generalized hyperbolic partial differential equations
The existence and uniqueness of solutions and convergence of successive approximations are considered as generic properties for generalized hyperbolic partial differential equations with unbounded right-hand sides.
Generic properties of nonlinear boundary value problems
Generic properties of von Kármán equations
Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operator.
Generic solvability for the 3-D Navier-Stokes equations with nonregular force.