Titlebook: Regularity Theory for Mean-Field Game Systems; Diogo A. Gomes,Edgard A. Pimentel,Vardan Voskanyan Book 2016 Springer International Publish

Seminar

BLUSH

A Priori Bounds for Stationary Models,entity, that .?>?0. Finally, we examine an MFG with a logarithmic nonlinearity. This model presents substantial challenges since the logarithm is not bounded from below. However, a clever integration by parts argument gives the necessary bounds for its study.

EVEN

frozen-shoulder

Eulogy

A Priori Bounds for Stationary Models,es given in Theorem?3.11, to obtain Sobolev estimates for the value function. Next, we consider a congestion problem and show, through a remarkable identity, that .?>?0. Finally, we examine an MFG with a logarithmic nonlinearity. This model presents substantial challenges since the logarithm is not

nitroglycerin

A Priori Bounds for Time-Dependent Models,dratic case; for .?=?2 the quadratic case. In the first instance, the non-linearity?|?.?|?. acts as a perturbation of the heat equation and the main regularity tool is the Gagliardo–Nirenberg inequality. In the second instance, the Hopf–Cole transformation gives an explicit way to study (8.1). Howev

GLOSS

有抱負(fù)者

Local Mean-Field Games: Existence,he previous estimates. Thanks to this technique, we show that solutions of stationary MFGs are bounded a priori in all Sobolev spaces. This is an essential step for the two existence methods developed next. The first method is a regularization procedure in which we perturb the original local MFG int

積云

談判