Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Microlocal regularity theorems for nonsmooth pseudodifferential operators and applications to nonlinear problems

Authors: Michael Beals and Michael Reed
Journal: Trans. Amer. Math. Soc. 285 (1984), 159-184
MSC: Primary 35S05; Secondary 35J60, 35L70
MathSciNet review: 748836
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The authors develop a calculus of pseudodifferential operators with nonsmooth coefficients in order to study the regularity of solutions to linear equations $ P\,(x,D)\,u = f$. The regularity theorems are similar to those of Bony, but the calculus and the methods of proof are quite different. We apply the linear results to study the regularity properties of solutions to quasilinear partial differential equations.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 35S05, 35J60, 35L70

Retrieve articles in all journals with MSC: 35S05, 35J60, 35L70

Additional Information

PII: S 0002-9947(1984)0748836-7
Article copyright: © Copyright 1984 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia