Differential and Integral Equations

A symmetric positive system with nonuniformly characteristic boundary

Paolo Secchi

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


We study linear symmetric positive systems under maximal nonnegative boundary conditions. First we consider the noncharacteristic boundary and nonhomogeneous boundary conditions; in this case we give sufficient conditions on the boundary data in order to have $L^2$ and $H^1$ solutions. The inhomogeneous boundary data are treated directly with the advantage of requiring minimal regularity assumptions. Secondly we consider a boundary value problem with boundary matrix not of constant rank. We assume that the boundary is divided in two parts by an embedded manifold which is the intersection of the reference domain and a noncharacteristic hypersurface. The boundary matrix is negative definite on one side of the boundary with respect to the embedded manifold and is positive semi-definite on the other one. Using also the results of the first part, we discuss the existence of regular solutions.

Article information

Differential Integral Equations, Volume 11, Number 4 (1998), 605-621.

First available in Project Euclid: 30 April 2013

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35J55
Secondary: 35F15: Boundary value problems for linear first-order equations 35L50: Initial-boundary value problems for first-order hyperbolic systems


Secchi, Paolo. A symmetric positive system with nonuniformly characteristic boundary. Differential Integral Equations 11 (1998), no. 4, 605--621. https://projecteuclid.org/euclid.die/1367341036

Export citation