On the $$C^1$$ and $$C^2$$-Convergence to Weak K.A.M. Solutions
نویسندگان
چکیده
We introduce a notion of upper Green regular solutions to the Lax-Oleinik semi-group that is defined on set \(C^0\) functions closed manifold via Tonelli Lagrangian. Then we prove some weak \(C^2\) convergence results such solution for large class approximated as (1) discounted (see [DFIZ16]); (2) image function by semi-group; (3) K.A.M. perturbed cohomology class. This kind implies in measure second derivatives. Moreover, provide an example not and which have \(C^1\) but
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2022
ISSN: ['0010-3616', '1432-0916']
DOI: https://doi.org/10.1007/s00220-022-04355-4