EXISTENCE AND COMPACTNESS FOR WEAK SOLUTIONS TO BELLMAN SYSTEMS WITH CRITICAL GROWTH

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10124065" target="_blank" >RIV/00216208:11320/12:10124065 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.3934/dcdsb.2012.17.1729" target="_blank" >http://dx.doi.org/10.3934/dcdsb.2012.17.1729</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3934/dcdsb.2012.17.1729" target="_blank" >10.3934/dcdsb.2012.17.1729</a>

Result language

angličtina

Original language name

EXISTENCE AND COMPACTNESS FOR WEAK SOLUTIONS TO BELLMAN SYSTEMS WITH CRITICAL GROWTH

Original language description

We deal with nonlinear elliptic and parabolic systems that are the Bellman systems associated to stochastic differential games as a main motivation. We establish the existence of weak solutions in any dimension for an arbitrary number of equations ("players"). The method is based on using a renormalized sub- and super-solution technique. The main novelty consists in the new structure conditions on the critical growth terms with allow us to show weak solvability for Bellman systems to certain classes ofstochastic differential games.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2012

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

ISSN

1531-3492

e-ISSN

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Volume of the periodical

17

Issue of the periodical within the volume

6

Country of publishing house

US - UNITED STATES

Number of pages

21

Pages from-to

1729-1750

UT code for WoS article

000307125400009

EID of the result in the Scopus database

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