For autonomous Tonelli systems on ℝn, we develop an intrinsic proof of the existence of generalized characteristics using sup-convolutions. This approach, together with convexity estimates for the fundamental solution, leads to new results such as the global propagation of singularities along generalized characteristics.
Cannarsa, P., Cheng, W. (2017). Generalized characteristics and Lax–Oleinik operators: global theory. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 56(5) [10.1007/s00526-017-1219-4].
Generalized characteristics and Lax–Oleinik operators: global theory
Cannarsa P.
;Cheng W.
2017-01-01
Abstract
For autonomous Tonelli systems on ℝn, we develop an intrinsic proof of the existence of generalized characteristics using sup-convolutions. This approach, together with convexity estimates for the fundamental solution, leads to new results such as the global propagation of singularities along generalized characteristics.File in questo prodotto:
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