Spectral validation of the Whitham equations for periodic waves of lattice dynamical systems

This work is based on the concept of differen- tial flatness for finite dimensional systems intro- duced in (Fliess et al., 1995), which has already been extended to

Persson, Singular holomorphic solutions of linear partial differential equations with holomorphic coef- ficients and nonanalytic solutions of equations with analytic

Hypothesis H3 about existence of the gradient flow and its regularity and comparison properties for the case at hand fits into the classical theory of parabolic equations explained

In the last few years methods of finding almost everywhere solutions of partial differential equations of implicit type have been developed; the theory can be applied also to

PARDOUX, Backward stochastic differential equations and viscosity solutions of systems of semilinear parabolic and elliptic PDEs of second order, Proc. PENG, Adapted

In this paper we determine the function /3 in the case of one- dimensional singularities X, taking non-singular arcs, in terms of the Milnor number associated to Xreci- See [La]

The principal local result, The Local Ex- tension Theorem (Appendix 6), is also the main step in all the appli- cations of the Convex Integration technique to solving open and

Such a procedure, which leads relatively easily to Kruzhkov's existence theorem, is to approximate the given initial data by functions of locally bounded variation (in the sense