Seminar
发表于 2025-3-23 11:10:38
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BLUSH
发表于 2025-3-23 17:30:14
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
发表于 2025-3-23 19:15:15
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frozen-shoulder
发表于 2025-3-24 00:19:48
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Eulogy
发表于 2025-3-24 04:33:22
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
发表于 2025-3-24 07:02:37
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
发表于 2025-3-24 12:38:13
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有抱负者
发表于 2025-3-24 14:53:46
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
积云
发表于 2025-3-24 22:40:23
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谈判
发表于 2025-3-25 03:13:58
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