A Priori Bounds for Models with Singularities

Diogo A. Gomes; Edgard A. Pimentel; Vardan K. Voskanyan

doi:10.1007/978-3-319-38934-9_9

A Priori Bounds for Models with Singularities

Diogo A. Gomes, Edgard A. Pimentel, Vardan K. Voskanyan

Research output: Chapter in Book/Report/Conference proceeding › Chapter

4 Scopus citations

Abstract

Here, we discuss two problems—an MFG with a logarithmic nonlinearity and an MFG with congestion effects. Stationary versions of these two problems were considered in Chap. 7 However, the techniques for time-dependent problems are substantially different from the ones used in the stationary case.

Original language	English (US)
Title of host publication	Regularity Theory for Mean-Field Game Systems
Publisher	Springer Nature
Pages	111-123
Number of pages	13
ISBN (Print)	9783319389325
DOIs	https://doi.org/10.1007/978-3-319-38934-9_9
State	Published - Sep 15 2016

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KAUST Repository Item: Exported on 2020-10-01

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10.1007/978-3-319-38934-9_9

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title = "A Priori Bounds for Models with Singularities",

abstract = "Here, we discuss two problems—an MFG with a logarithmic nonlinearity and an MFG with congestion effects. Stationary versions of these two problems were considered in Chap. 7 However, the techniques for time-dependent problems are substantially different from the ones used in the stationary case.",

author = "Gomes, {Diogo A.} and Pimentel, {Edgard A.} and Voskanyan, {Vardan K.}",

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AU - Pimentel, Edgard A.

AU - Voskanyan, Vardan K.

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2016/9/15

Y1 - 2016/9/15

N2 - Here, we discuss two problems—an MFG with a logarithmic nonlinearity and an MFG with congestion effects. Stationary versions of these two problems were considered in Chap. 7 However, the techniques for time-dependent problems are substantially different from the ones used in the stationary case.

AB - Here, we discuss two problems—an MFG with a logarithmic nonlinearity and an MFG with congestion effects. Stationary versions of these two problems were considered in Chap. 7 However, the techniques for time-dependent problems are substantially different from the ones used in the stationary case.

UR - http://hdl.handle.net/10754/623152

UR - http://link.springer.com/chapter/10.1007%2F978-3-319-38934-9_9

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DO - 10.1007/978-3-319-38934-9_9

M3 - Chapter

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SP - 111

EP - 123

BT - Regularity Theory for Mean-Field Game Systems

PB - Springer Nature

ER -

A Priori Bounds for Models with Singularities

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