Existence results for bellman equations and maximum principles in unbounded domains
作者:
Jérôme Busca,
期刊:
Communications in Partial Differential Equations
(Taylor Available online 1999)
卷期:
Volume 24,
issue 11-12
页码: 2023-2042
ISSN:0360-5302
年代: 1999
DOI:10.1080/03605309908821493
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
The purpose of this paper is to extend known existence results for Hamilton-Jacobi-Bellman equations. The classical results give existence, uniqueness and Holder regularity when all elliptic operators involved have nonpositive zero-order term. We want to handle here the more general case where they have principal eigenvalues bounded below by a positive constant. As a motivation for this work, we give an application to the study of the Maximum Principle in infinite cylinders, following a work by Berestycki, Caffarelli and Nirenberg [2]. This is used to extend the cylindrical symmetry result in [2] to a more general class of operators.
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