Jost solution and the spectrum of the discrete Dirac systems.
Jump processes, ℒ-harmonic functions, continuity estimates and the Feller property
Given a family of Lévy measures ν={ν(x, ⋅)}x∈ℝd, the present work deals with the regularity of harmonic functions and the Feller property of corresponding jump processes. The main aim is to establish continuity estimates for harmonic functions under weak assumptions on the family ν. Different from previous contributions the method covers cases where lower bounds on the probability of hitting small sets degenerate.
Jumping nonlinearities and mathematical models of suspension bridge
Junction of elastic plates and beams
We consider the linearized elasticity system in a multidomain of . This multidomain is the union of a horizontal plate with fixed cross section and small thickness ε, and of a vertical beam with fixed height and small cross section of radius . The lateral boundary of the plate and the top of the beam are assumed to be clamped. When ε and tend to zero simultaneously, with , we identify the limit problem. This limit problem involves six junction conditions.
Justification de l'optique géométrique non linéaire pour un système de lois de conservation
Justification of a two dimensional evolutionary Ginzburg-Landau superconductivity model
Justification of the method of approximation of solutions to contact problems of filtration theory.
Justification of the steepest descent method for the integral statement of an inverse problem for a hyperbolic equation.