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

J. Andersson; H. Mikayelyan

doi:10.1090/S0002-9947-2012-05593-0

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

J. Andersson, H. Mikayelyan

Research output: Journal Publication › Article › peer-review

8 Citations (Scopus)

Abstract

We will prove a partial regularity result for the zero level set of weak solutions to where B = B(μ) = I + (A - I)χ_{μ<0}, where I is the identity matrix and the eigenvalues of A are strictly positive and bounded. We will apply this to describe the regularity of solutions to the Bellman equations.

Original language	English
Pages (from-to)	2297-2316
Number of pages	20
Journal	Transactions of the American Mathematical Society
Volume	365
Issue number	5
DOIs	https://doi.org/10.1090/S0002-9947-2012-05593-0
Publication status	Published - 2013
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9947-2012-05593-0

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title = "The zero level set for a certain weak solution, with applications to the bellman equations",

abstract = "We will prove a partial regularity result for the zero level set of weak solutions to where B = B(μ) = I + (A - I)χ{μ<0}, where I is the identity matrix and the eigenvalues of A are strictly positive and bounded. We will apply this to describe the regularity of solutions to the Bellman equations.",

author = "J. Andersson and H. Mikayelyan",

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AU - Andersson, J.

AU - Mikayelyan, H.

PY - 2013

Y1 - 2013

N2 - We will prove a partial regularity result for the zero level set of weak solutions to where B = B(μ) = I + (A - I)χ{μ<0}, where I is the identity matrix and the eigenvalues of A are strictly positive and bounded. We will apply this to describe the regularity of solutions to the Bellman equations.

AB - We will prove a partial regularity result for the zero level set of weak solutions to where B = B(μ) = I + (A - I)χ{μ<0}, where I is the identity matrix and the eigenvalues of A are strictly positive and bounded. We will apply this to describe the regularity of solutions to the Bellman equations.

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U2 - 10.1090/S0002-9947-2012-05593-0

DO - 10.1090/S0002-9947-2012-05593-0

M3 - Article

AN - SCOPUS:84874207514

SN - 0002-9947

VL - 365

SP - 2297

EP - 2316

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 5

ER -

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

Abstract

ASJC Scopus subject areas

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