Almost global existence of small solutions to quadratic nonlinear Schördinger equations in three space dimensions.
Almost periodic solutions of nonlinear hyperbolic equations with time delay.
Almost periodic solutions to systems of parabolic equations.
Almost periodic viscosity solutions of nonlinear parabolic equations.
Almost sure global well-posedness for the radial nonlinear Schrödinger equation on the unit ball II: the 3d case
We extend the convergence method introduced in our works [8–10] for almost sure global well-posedness of Gibbs measure evolutions of the nonlinear Schrödinger (NLS) and nonlinear wave (NLW) equations on the unit ball in to the case of the three dimensional NLS. This is the first probabilistic global well-posedness result for NLS with supercritical data on the unit ball in . The initial data is taken as a Gaussian random process lying in the support of the Gibbs measure associated to the equation,...
Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space
We also prove a long time existence result; more precisely we prove that for fixed there exists a set , such that any data , evolves up to time into a solution with , . In particular we find a nontrivial set of data which gives rise to long time solutions below the critical space , that is in the supercritical scaling regime.
Almost-periodic mild solutions to a class of partial functional-differential equations.
Alternative approaches to the two-scale convergence
Two-scale convergence is a special weak convergence used in homogenization theory. Besides the original definition by Nguetseng and Allaire two alternative definitions are introduced and compared. They enable us to weaken requirements on the admissibility of test functions . Properties and examples are added.
An abstract differential equation and the potential bifurcation theorems by Krasnosel'skij
An abstract differential inequality and eigenvalues of variational inequalities
An adaptive numerical method for the wave equation with a nonlinear boundary condition.
An adiabatic theorem for singularly perturbed hamiltonians
An age-dependent model describing the spread of panleucopenia virus within feline populations
Global existence results and long time behavior are provided for a mathematical model describing the propagation of Feline Panleucopenia Virus (FPLV) within a domestic cat population; two transmission modes are involved: a direct one from infective cats to susceptible ones, and an indirect one from the contaminated environment to susceptible cats. A more severe impact of the virus on young cats requires an age-structured model.
An algorithm for quantum propagation through electron level crossings.
An Ambrosetti-Prodi-type problem for an elliptic system of equations via monotone iteration method and Leray-Schauder degree theory.
An application of category theory to a class of the systems of the superquadratic wave equations.
An approximate layering method for multi-dimensional nonlinear parabolic systems of a certain type
An Asymptotic Finite Element Method for Improvement of Solutions of Boundary Layer Problems.
An asymptotic formula for the Green's function of an elliptic operator
An asymptotically optimal model for isotropic heterogeneous linearly elastic plates
In this paper, we derive and analyze a Reissner-Mindlin-like model for isotropic heterogeneous linearly elastic plates. The modeling procedure is based on a Hellinger-Reissner principle, which we modify to derive consistent models. Due to the material heterogeneity, the classical polynomial profiles for the plate shear stress are replaced by more sophisticated choices, that are asymptotically correct. In the homogeneous case we recover a Reissner-Mindlin model with as shear correction factor....