Advances in Differential Equations

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

Sorin Mardare

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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


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