Advances in Differential Equations

On systems of first order linear partial differential equations with $L^p$ coefficients

Sorin Mardare

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

Abstract

We establish the existence, the uniqueness, and the stability of the solution to the Cauchy problem associated to a general class of systems of first-order linear partial differential equations under minimal regularity assumptions on their coefficients.

Article information

Source
Adv. Differential Equations Volume 12, Number 3 (2007), 301-360.

Dates
First available in Project Euclid: 18 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355867466

Mathematical Reviews number (MathSciNet)
MR2296569

Zentralblatt MATH identifier
1152.35334

Subjects
Primary: 35F10: Initial value problems for linear first-order equations
Secondary: 35B35: Stability 35D05 58A17: Pfaffian systems

Citation

Mardare, Sorin. On systems of first order linear partial differential equations with $L^p$ coefficients. Adv. Differential Equations 12 (2007), no. 3, 301--360. https://projecteuclid.org/euclid.ade/1355867466.


Export citation