Search
Search Results
-
Hamiltonian Paradifferential Birkhoff Normal Form for Water Waves
We present the almost global in time existence result in [
13 ] of small amplitude space periodic solutions of the 1D gravity-capillary water waves... -
Birkhoff Normal Form for the Derivative Nonlinear Schrödinger Equation
This paper is concerned with the derivative nonlinear Schrödinger equation with periodic boundary conditions. We obtain complete Birkhoff normal form...
-
Optimal Birkhoff Interpolation and Birkhoff Numbers in Some Function Spaces
This paper investigates the optimal Birkhoff interpolation and Birkhoff numbers of some function spaces in space L ∞ [−1, 1] and weighted spaces L p,ω [−1...
-
A Birkhoff–Kellogg Type Theorem for Discontinuous Operators with Applications
By means of fixed point index theory for multivalued maps, we provide an analogue of the classical Birkhoff–Kellogg Theorem in the context of...
-
Existence of Birkhoff sections for Kupka–Smale Reeb flows of closed contact 3-manifolds
A Reeb vector field satisfies the Kupka–Smale condition when all its closed orbits are non-degenerate, and the stable and unstable manifolds of its...
-
Nonlocal Problem with Multipoint Perturbations of the Birkhoff Strongly Regular Boundary Conditions for an Even-Order Differential Operator
We study spectral properties of a nonself-adjoint problem for a (2 n ) th order operator of differentiation with nonlocal conditions representing...
-
-
A generalized Poincaré–Birkhoff theorem
We prove a generalization of the classical Poincar´e–Birkhoff theorem for Liouville domains, in arbitrary even dimensions.
-
Birkhoff Normal form for Gravity Water Waves
We consider the gravity water waves system with a one-dimensional periodic interface in infinite depth, and present the proof of the rigorous...
-
A generalized Poincaré–Birkhoff theorem
We prove a generalization of the classical Poincaré–Birkhoff theorem for Liouville domains, in arbitrary even dimensions. This is inspired by the...
-
Birkhoff Program for Geodesic Flows of Surfaces and Applications: Homoclinics
We show that a Kupka–Smale riemannian metric on a closed surface contains a finite primary set of closed geodesics, i.e. they intersect any other...
-
Birkhoff–James Orthogonality: Characterizations, Preservers, and Orthogonality Graphs
We present Birkhoff–James orthogonality from historical perspectives to the current development. We compare it with some other orthogonalities,...
-
Approximate Birkhoff-James Orthogonality in Normed Linear Spaces and Related Topics
The classical Birkhoff-James orthogonality (BJ-orthogonality) in a real normed linear space is one of many possible, but arguably the most adequate,...
-
Birkhoff–James Orthogonality and Applications: A Survey
In the last few decades, the concept of Birkhoff–James orthogonality has been used in several applications. In this survey article, the results known...
-
Almost Global Existence for d-dimensional Beam Equation with Derivative Nonlinear Perturbation
This paper is devoted to the proof of almost global existence results for the d -dimensional beam equation with derivative nonlinear perturbation by...
-
Normal Forms of Hamiltonian Systems
Given an analytic Hamiltonian system with an equilibrium at the origin.