Arnold’s Diffusion: from the a priori unstable to the a priori stable case

Existence of Diffusion Orbits in a priori Unstable Hamiltonian Systems

Under open and dense conditions we show that Arnold diffusion orbits exist in a priori unstable and time-periodic Hamiltonian systems with two degrees of freedom. 1, Introduction and Results By the KAM (Kolmogorov, Arnold and Moser) theory we know that there are many invariant tori in nearly integrable Hamiltonian systems with arbitrary n degrees of freedom. These tori are of n dimension and oc...

The Standard Metre: Has It Anything to Do With The Contingent A Priori

Arnold diffusion in Hamiltonian Systems 1: a priori Unstable Case

By using variational method and under generic conditions we show that Arnold diffusion exists in a priori unstable and time-periodic Hamiltonian systems with multiple degrees of freedom.

Existence and uniqueness of weak solutions for a class of nonlinear divergence type diffusion equations

‎In this paper‎, ‎we study the Neumann boundary value problem of a class of nonlinear divergence type diffusion equations‎. ‎By a priori estimates‎, ‎difference and variation techniques‎, ‎we establish the existence and uniqueness of weak solutions of this problem.

Kant on the "A priori" Toward an Interpretation