Showing papers in "Journal of Functional Analysis in 2018"

TL;DR: A new class of distances between arbitrary nonnegative Radon measures inspired by optimal transport is presented, and of particular interest is the Wasserstein–Fisher–Rao metric, which belongs to this class of metrics and hence automatically benefits from a static Kantorovich formulation.

TL;DR: In this paper, the authors considered a two species Lotka-Volterra competition-diffusion-advection system, where the diffusion and advection rates of two competitors are supposed to be proportional.

TL;DR: In this paper, the combination of linearization ideas in free probability theory with the powerful realization machinery has been used to solve the problem of determining the eigenvalue distribution (or even the Brown measure, in the non-selfadjoint case) of noncommutative rational functions of random matrices when their size tends to infinity.

TL;DR: In this article, the density of smooth functions in the modular topology in Musielak-Orlicz-Sobolev spaces was shown to be in the range q/p ≤ 1 + α/N.

TL;DR: In this paper, the existence of a single wave solution of the delayed Camassa-Holm equation was established without delay by using the geometric singular perturbation theory and invariant manifold theory.

TL;DR: In this paper, it was shown that a convex body can be dilated to a commuting family of self-adjoints, each of norm at most d, if and only if the body is a simplex.

TL;DR: In this article, the authors study the nonasymptotic behavior of Coulomb gases in dimension two and more and obtain concentration of measure inequalities for the empirical distribution of such gases around their equilibrium measure, with respect to bounded Lipschitz and Wasserstein distances.

TL;DR: In this paper, the existence and multiplicity of solutions for a class of nonlinear nonlocal problems involving the fractional p-Laplacian and a combined Sobolev and Hardy nonlinearity at subcritical and critical growth were established.

TL;DR: In this paper, the notions of super-Ricci flows and Ricci flows were introduced for time-dependent families of metric measure spaces and their properties were proven to be stable under suitable space-time versions of mGH-convergence.

TL;DR: The reproducing kernel Hilbert spaces on the unit ball with the complete Nevanlinna-Pick property were studied in this article, where the authors gave a complete description of the representations in terms of the reproducing kernels.

TL;DR: In this article, the authors considered the nonlinear Schrodinger equation i u t + Δ u = λ | u | 2 N u in all dimensions N ≥ 1, where λ ∈ C and ℑ λ ≤ 0.

TL;DR: In this paper, the authors studied a function space J N p based on a condition introduced by John and Nirenberg as a variant of BMO and showed that the two spaces are not the same.

TL;DR: In this paper, the authors use a Feynman-Kac formula to relate the solution of the growth-fragmentation equation to the semigroup of a Markov process and characterise the rate of decay or growth in terms of this process.

TL;DR: In this paper, the structure of Sobolev spaces on the cartesian/warped products of a given metric measure space and an interval is studied, and it is shown that the warped products possess the Soboleve-to-Lipschitz property.

TL;DR: In this paper, the authors studied nonparametric surfaces over strictly convex bounded domains in R n, which are evolving by the mean curvature flow with Neumann boundary value, and proved that solutions converge to the ones moving only by translation.

TL;DR: By developing the method of multipliers, this paper established sufficient conditions on the electric potential and magnetic field which guarantee that the corresponding Schrodinger operator possesses no point spectrum, and the settings of complex-valued electric potentials and singular magnetic potentials of Aharonov-Bohm field are also covered.

TL;DR: In this article, the authors studied functional inequalities for Markov chains on discrete spaces with entropic Ricci curvature bounded from below, and showed that the spectral gap, the Cheeger isoperimetric constant and the modified logarithmic Sobolev constant of the chain can be bounded by a constant that only depends on the diameter of the space, with respect to a suitable metric.

TL;DR: In this article, it was shown that the Ricci curvature lower bound of RCD ⁎ (K, N ) -spaces admits isomorphic compact group actions and is stable for metric foliations and submersions.

TL;DR: In this paper, the Nakano property and density character of non-degenerate intervals on the free Banach lattice over a Banach space are studied. But the density character is not characterized.

TL;DR: In this paper, a fractional notion of gradient and divergence operator was proposed for harmonic maps into spheres. But the authors only considered the nonlocal case and did not consider the non-local version of Wente's lemma.

TL;DR: In this article, the authors studied continuous-time (variable speed) random walks in random environments on Z d, d ≥ 2, where, at time t, the walk at x jumps across edge ( x, y ) at time-dependent rate a t ( x, y ).

TL;DR: In this article, the authors discuss the multiple summability of a multilinear map T : X 1 × · · · × Xm → Y when they have informations on the sumability of the maps it induces on each coordinate.

TL;DR: In this article, the existence of traces of functions of bounded variation on the boundary of a certain class of domains in metric measure spaces equipped with a doubling measure supporting a 1-Poincare inequality was shown.

TL;DR: In this article, a strong form of dynamical exponential clustering for eigenstates in the droplet spectrum was shown for the disordered XZ spin chain in the Ising phase, where disorder is introduced via a random magnetic field in the z-direction.

TL;DR: In this article, the authors define I I 1 -factor stability for groups and prove matricial stability for the discrete Heisenberg group H 3 and for all virtually abelian groups.

TL;DR: In this paper, the authors investigated the optimal regularity of solutions of heat equations in anisotropic Besselpotential spaces and showed that the interior regularity can be lifted when the Bessel potential space is smooth bounded.

TL;DR: In this paper, the existence of type II blow-up solutions for the Joseph-Lundgren critical case has been proved, and it has been shown that type II Blow-up cannot occur under mild assumptions on initial data as far as nonnegative radially symmetric solutions are concerned.

TL;DR: In this paper, topological solitons in a minimal variational model for a chiral magnet, so-called chiral skyrmions, were examined and linear stability of axisymmetric chiral SKRMs under arbitrary perturbations in the energy space was shown.

TL;DR: In this paper, the Hartree equation is derived from the N-body Schrodinger equation in the mean-field limit, with convergence rate estimates that are uniform in the Planck constant.