Local Solvability of First Order Linear Operators with Lipschitz Coefficients in Two Variables

✍ Scribed by J. Hounie; M. Eulalia; M. Melo

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 376 KB
• Volume: 121
• Category: Article
• ISSN: 0022-0396
• DOI: 10.1006/jdeq.1995.1134

✦ Synopsis

We prove that a first order partial differential operator of principal type with Lipschitz coefficients in the principal part and measurable locally bounded zero order term is locally solvable in (\mathbb{R}^{2}) if it verifies condition (. (\mathscr{P}) ). 1995 Academic Press. Inc.