Allgemeine Darstellungssätze bei einer Klasse partieller Differentialgleichungen gerader Ordnung.
Almansi decompositions for polyharmonic, polyheat, and polywave functions
We construct Almansi decompositions for a class of differential operators, which include powers of the classical Laplace operator, heat operator, and wave operator. The decomposition is given in a constructive way.
Almost automorphic solution for some stochastic evolution equation driven by Lévy noise with coefficients S2−almost automorphic
In this work we first introduce the concept of Poisson Stepanov-like almost automorphic (Poisson S2−almost automorphic) processes in distribution. We establish some interesting results on the functional space of such processes like an composition theorems. Next, under some suitable assumptions, we establish the existence, the uniqueness and the stability of the square-mean almost automorphic solutions in distribution to a class of abstract stochastic evolution equations driven by Lévy noise in case...
Almost automorphy of semilinear parabolic evolution equations.
Almost classical solutions of Hamilton-Jacobi equations.
Almost continuous solutions of geometric Hamilton–Jacobi equations
Almost everywhere summability of eigenfunction expansions associated to elliptic operators
Almost global existence of small solutions to quadratic nonlinear Schördinger equations in three space dimensions.
Almost global solutions for non hamiltonian semi-linear Klein-Gordon equations on compact revolution hypersurfaces
This paper is devoted to the proof of almost global existence results for Klein-Gordon equations on compact revolution hypersurfaces with non-Hamiltonian nonlinearities, when the data are smooth, small and radial. The method combines normal forms with the fact that the eigenvalues associated to radial eigenfunctions of the Laplacian on such manifolds are simple and satisfy convenient asymptotic expansions.
Almost global solutions of the free boundary problem for the equations of a magnetohydrodynamic incompressible fluid
Almost global in time existence of solutions for equations describing the motion of a magnetohydrodynamic incompressible fluid in a domain bounded by a free surfaced is proved. In the exterior domain we have an electromagnetic field which is generated by some currents which are located on a fixed boundary. We prove that a solution exists for t ∈ (0,T), where T > 0 is large if the data are small.
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 product structures and Monge-Ampère 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 sure Weyl asymptotics for non-self-adjoint elliptic operators on compact manifolds
In this paper, we consider elliptic differential operators on compact manifolds with a random perturbation in the 0th order term and show under fairly weak additional assumptions that the large eigenvalues almost surely distribute according to the Weyl law, well-known in the self-adjoint case.
Almost-Everywhere Regularity Results for Solutions of Non Linear Elliptic Systems.
Almost-periodic mild solutions to a class of partial functional-differential equations.
Alpha Well-Posedness, Alpha Stability, and the Matrix Theorems of H.-O. Kreiss.