Showing papers in "Journal de Mathématiques Pures et Appliquées in 2014"

TL;DR: In this article, the Pohozaev identity up to the boundary of the Dirichlet problem for the fractional Laplacian was shown to hold for the case of ( − Δ ) s u = g in Ω, u ≡ 0 in R n \ Ω, for some s ∈ ( 0, 1 ) and g ∈ L ∞ ( Ω ), then u is C s ( R n ) and u / δ s | Ω is C α up to boundary ∂Ω for some α ∈( 0

TL;DR: In this article, it was shown that the convergence of the level sets of the minimizers of the energy minimizer to a non-local minimal surface and a classical minimal surface is uniform.

TL;DR: In this article, the authors proved the existence of type II blow up solutions with scaling parameter λ ( t ) = t − 1 − ν for all ν > 0.

TL;DR: In this paper, the authors studied the problem of rapid exponential stabilization for a controlled Korteweg-de Vries equation on a bounded interval with homogeneous Dirichlet boundary conditions and Neumann boundary control.

TL;DR: In this article, the authors considered the Cauchy problem of the barotropic compressible Navier-Stokes equations on the whole two-dimensional space with vacuum as far field density.

TL;DR: In this article, the Lame system of linear elasticity and the fluid obeys the incompressible Navier-Stokes equations in a time-dependent domain is studied.

TL;DR: In this paper, symbolic criteria for operators to be nuclear and r-nuclear on L p (G ) -spaces, with applications to distribution of eigenvalues and trace formulae, are given in terms of the concept of matrix symbols defined on the noncommutative analogue of the phase space G × G ˆ, where G is the unitary dual of G.

TL;DR: In this article, a theory of relative homological projective duality and the Morita invariance of the even Clifford algebra under quadric reduction by hyperbolic splitting was developed to study semiorthogonal decompositions of the bounded derived category D b (X ).

TL;DR: In this paper, the self-adjointness of the coupling H + V λ is studied in terms of surface measures on the boundary of bounded regular domains in the plane.

TL;DR: In this paper, the null controllability of the wave equation with both viscous Kelvin-Voigt and frictional damping was shown for a model of viscoelasticity in which an internal control with a moving support was considered.

TL;DR: In this paper, the authors provide a mathematical analysis and a numerical framework for simulating the imaging of arbitrarily shaped small-volume conductive inclusions from electromagnetic induction data, and derive, with proof, a small volume expansion of the eddy current data measured away from the conductive inclusion.

TL;DR: In this paper, the authors revisited the possibility of finite-time, dispersive blow-up for nonlinear equations of Schrodinger type in spatial dimensions larger than one and for more general power-law nonlinearities.

TL;DR: This article obtained sharp existence results in the Lorentz-Morrey space for Riccati type equations with a gradient source term having growths below the natural exponent of the operator involved.

TL;DR: In this paper, the authors extend the Lotka-Volterra model to a multi-resources chemostat model, where the competition between individuals results from the sharing of several resources which have their own dynamics.

TL;DR: In this paper, the authors studied the orbital stability of the peaked solitons to the Novikov equation, which is an integrable Camassa-Holm type equation with cubic nonlinearity.

TL;DR: In this paper, the existence, uniqueness, and nonlinear stability of stationary solutions to the Cauchy problem of the full compressible Navier-Stokes-Korteweg system effected by the given mass source, the external force of general form, and the energy source in R 3.

TL;DR: In this article, the authors proposed a near-cloak construction by incorporating a much more general conducting layer between the cloaked and cloaking regions, which allows the cloaked contents to be both passive and active with an applied current inside.

TL;DR: In this paper, the authors obtained a result on global existence of classical and strong solutions of the Navier-Stokes equations in three space dimensions with spherically or cylindrically symmetric initial data.

TL;DR: In this article, the authors established symmetrization results for the solutions of the linear fractional diffusion equation ∂ t u + ( − Δ ) σ / 2 u = f and its elliptic counterpart h v +( − Δ) σ/2 v = f, h > 0, using the concept of comparison of concentrations.

TL;DR: In this paper, the connections between some traffic models, involving in their formulation different tools such as the Lagrangian point of view, the variational minimization and some degenerate elliptic equations, are described.

TL;DR: In this paper, the authors introduce the concept of Nash-Stampacchia equilibrium points via variational inequalities on Riemannian manifolds, where the strategy sets are compact/non-compact geodesic convex subsets of Hadamard manifolds.

TL;DR: In this paper, it was shown that the mirror symmetry of Berglund, Hubsch, Chiodo and Ruan, applied to K3 surfaces with a non-symplectic involution, coincides with the lattice mirror symmetry.

TL;DR: In this paper, the homogenization of the Dirichlet problem for fully nonlinear uniformly elliptic operators with periodic oscillation in the operator and in the boundary condition for a general class of smooth bounded domains was shown.

TL;DR: In this paper, it was shown that isomonodromicity is equivalent to conjugacy with respect to each parameter separately under a filtered-linearly closed assumption on the field of functions of parameters.

TL;DR: In this paper, a codimension analysis of a two-fold singularity of piecewise smooth vector fields is presented, where the non-degenerate center of a vector field behaves itself like a center of the smooth vector field (also called nondegenerate Σ-center).

TL;DR: In this article, the gonality of the normalizations of curves in the linear system | H | of a general primitively polarized complex K3 surface (S, H ) of genus p was studied.

TL;DR: In this paper, small-time global null controllability for the viscous Burgers' equation was shown to still hold by taking advantage of both hyperbolic and parabolic behaviors of the system.

TL;DR: In this article, it was shown that if λ>2m, then the operator gλ is bounded from L1×⋯×L1 to L1m,∞.

TL;DR: In this paper, the authors investigate averaging properties of fully nonlinear PDEs in bounded domains with oscillatory Neumann boundary data and show that the homogenized Neumann data is continuous with respect to the normal direction of the boundary.

TL;DR: In this article, the authors investigated the large-time behavior of the value functions of the optimal control problems on the n -dimensional torus which appear in the dynamic programming for the system whose states are governed by random changes.