H-measures and system of Maxwell's

We construct invariant measures for Hamiltonian systems such as the nonlinear Schrrdinger equation or the wave equation in order to prove Poisson's recurrence.. The particular

One of the important components of algebraic analysis is the study of analytic P-modules (i.e., modules over the ring of linear partial differential operators with

Theorem 1.1 has been used by Brezis, Marcus and Ponce [5] to study the existence of solutions of the nonlinear equation − u + g(u) = µ where µ is a measure and g is a

Murat, Nonlinear problems having natural growth in the gradient: an existence result when the source terms are small, Nonlinear Anal. Preiss, A general mountain path principle

[r]

First of all, Bonnet's theorem tells us that for a compact manifold with positive sectional curvature, the fundamental group must be finite and this was later generalized by

In particular we here establish an L 1 Hardy inequality, obtain further regularity results for solutions of certain fractional PDE, demonstrate the existence of minimizers for

This object, the distributional Riesz fractional gradient, will shortly be defined, and we will show that it is the intrinsic object of interest for the study of fractional problems