Propagation des Singularités des opérateurs hyperboliques, elliptiques et holomorphes

We prove the existence of global weak solutions by a compactness method and, under stronger assumptions, the uniqueness.. of those solutions, thereby

In section 1, we recall briefly the theory of the local Cauchy problem, including smoothness properties and the relevant conservation laws, for the NLS equation in

We describe an explicit procedure for constructing P based on the prolongation theory of the first part of this paper which involves finitely many steps. These results imply

One of the main reasons to study regularized semigroups is their flexibility in applications to evolution equations (see e.g.. We will demonstrate this in Section

ZEMAN, Uniqueness of solutions of the Cauchy problem for linear partial differential equations with characteristics of constant multiplicity, J. ZEMAN, Uniqueness of

The complexity of the solution of the function estimation problem using the SV representation depends on the com- plexity of the desired solution (i.e. on the required number of SVs

In [5] the main results of the present paper are used to characterize the homogeneous differential operators P(D) that admit a continuous linear right inverse on C7°°(^), fl,

or the Beam equation, the condition for the k-summability or the Borel summability was obtained by Miyake [Miy] and the integral representation of the Borel sum was