A quantitative KAM theorem

Previously, some stability estimates for inverse problems involving the stationary transport equation have been obtained by Romanov in [4].. He used different

of the perturbing function); a closer analysis of the proofs of the KAM stability theorems shows that in fact the estimates met in the proofs are.. not really bad

G., Novikov, Approximate solution of the inverse problem of quantum scattering theory with fixed energy in dimension 2, (Russian) Tr. Novikov, Formulae and equations for

For the case when τ = 1 in (1.9), (1.11) or when s = 0 in (1.14) the history of such estimates in dimension d = 3 goes back to [29], [31], where such energy and regularity

This problem can be considered as the Gel’fand inverse boundary value problem for the Schr¨ odinger equation at zero energy (see [9], [16])... A variation of this result is presented

If the linearizations at unstable equilibria have at least one eigenvalue with positive real part, then almost global asymptotic stability turns out to be robust with respect

Moreover, in the zero range model, there are energy crossings between universal and efimovian states as a function of R t /a ho (see solid lines in Fig.2a); as we shall see, for

We consider the problem of existence and stability of solitary traveling waves for the one dimen- sional discrete non linear Schrödinger equation (DNLS) with cubic nonlinearity,