Bellman Systems with Mean Field Dependent Dynamics
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10384153" target="_blank" >RIV/00216208:11320/18:10384153 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s11401-018-0078-4" target="_blank" >https://doi.org/10.1007/s11401-018-0078-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11401-018-0078-4" target="_blank" >10.1007/s11401-018-0078-4</a>
Alternative languages
Result language
angličtina
Original language name
Bellman Systems with Mean Field Dependent Dynamics
Original language description
The authors deal with nonlinear elliptic and parabolic systems that are the Basilan like systems associated to stochastic differential games with mean field dependent dynamics. The key novelty of the paper is that they allow., heavily mean field dependent dynamics. This in particular leads to a system of PDE's with critical growth, for which it is rare to have an existence and/or regularity result. In the paper, they introduce a structural assumptions that, cover many cases in stochastic differential games with mean field dependent dynamics for which they are able to establisli the existence of a weak solution. In addition, the authors present here a completely new method for obtaining the maximum/minimum principles for systems with critical growths, which is a starting point for further existence and also qualitative analysis.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA16-03230S" target="_blank" >GA16-03230S: Thermodynamically consistent models for fluid flows: mathematical theory and numerical solution</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Chinese Annals of Mathematics. Series B
ISSN
0252-9599
e-ISSN
—
Volume of the periodical
39
Issue of the periodical within the volume
3
Country of publishing house
CN - CHINA
Number of pages
26
Pages from-to
461-486
UT code for WoS article
000433025400004
EID of the result in the Scopus database
2-s2.0-85048127930