On the relation of delay equations to first-order hyperbolic partial differential equations

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

We investigate the propagation of singularities for this Ansatz and prove microlocal convergence: the wavefront set of the approximated solution is shown to converge to that of

L’accès aux archives de la revue « Annales de la faculté des sciences de Toulouse » ( http://picard.ups-tlse.fr/~annales/ ) implique l’accord avec les conditions

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

SPRUCK, The Dirichlet problem for nonlinear second order elliptic equations, I: Monge-Ampère equations, Comm. Lincei,

TREVES, Solvability of a linear first order partial differential equation, Comm. TREVES, On local solvability of linear partial

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