Linear Transport Equations with μ-Monotone Coefficients

✍ Scribed by Guergana Petrova; Bojan Popov

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 133 KB
• Volume: 260
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.2000.7427

✦ Synopsis

We introduce the concept of a µ-monotone function. It allows us to extend the existing theory for Filippov solutions to ODE, linear transport equations, and conservation laws for a wider range of transport velocities A 1 A d and fluxes f 1 f d .