Weak KAM Theorem for a Class of Infinite-Dimensional Lagrangian systems
classification
🧮 math.DS
keywords
infinite-dimensionallagrangiansystemscalibratedclasscurveeveryexists
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In this paper, we study infinite-dimensional Lagrangian systems where the potential functions are periodic, rearrangement invariant and weakly upper semicontinuous. And we prove that there exists a calibrated curve for every $M\in L^{2}(I)$.
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