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)


Unique continuation for $ \Delta+v$ and the C. Fefferman-Phong class

Authors: Sagun Chanillo and Eric Sawyer
Journal: Trans. Amer. Math. Soc. 318 (1990), 275-300
MSC: Primary 35J10; Secondary 35B99
MathSciNet review: 958886
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We show that the strong unique continuation property holds for the inequality $ \left\vert {\Delta u} \right\vert \leq \left\vert \upsilon \right\vert\left\vert u \right\vert$, where the potential $ \upsilon (x)$ satisfies the C. Fefferman-Phong condition in a certain range of $ p$ values. We also deal with the situation of $ u(x)$ vanishing at infinity. These are all consequences of appropriate Carleman inequalities.

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

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 35J10, 35B99

Retrieve articles in all journals with MSC: 35J10, 35B99

Additional Information

PII: S 0002-9947(1990)0958886-6
Article copyright: © Copyright 1990 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