The zero level set for a certain weak solution, with applications to the Bellman equations

Authors:
J. Andersson and H. Mikayelyan

Journal:
Trans. Amer. Math. Soc. **365** (2013), 2297-2316

MSC (2010):
Primary 35R35, 35J60, 35B65

DOI:
https://doi.org/10.1090/S0002-9947-2012-05593-0

Published electronically:
November 7, 2012

MathSciNet review:
3020099

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We will prove a partial regularity result for the zero level set of weak solutions to

We will apply this to describe the regularity of solutions to the Bellman equations.

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Additional Information

**J. Andersson**

Affiliation:
Mathematics Institute, University of Warwick, Coventry, CV4 7AL, United Kingdom

**H. Mikayelyan**

Affiliation:
Department of Mathematical Sciences, Xi’an Jiaotong-Liverpool University, 111 Ren’ai Road, 215123 Suzhou (SIP), Jiangsu Province, People’s Republic of China

DOI:
https://doi.org/10.1090/S0002-9947-2012-05593-0

Received by editor(s):
June 28, 2010

Received by editor(s) in revised form:
February 24, 2011

Published electronically:
November 7, 2012

Article copyright:
© Copyright 2012
American Mathematical Society