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EnglishWe discuss the application of the Mountain Pass Algorithm to the so-called quasi-linear Schrodinger equation, which is naturally associated with a class of nonsmooth functionals so that the classical algorithm cannot directly be used. A change of variable allows us to deal with the lack of regularity. We establish the convergence of a mountain pass algorithm in this setting. Some numerical experiments are also performed and lead to some conjectures.
| Autori: | |
| Titolo: | On the mountain pass algorithm for the quasi-linear Schrodinger equation |
| Data di pubblicazione: | 2013 |
| Abstract: | We discuss the application of the Mountain Pass Algorithm to the so-called quasi-linear Schrodinger equation, which is naturally associated with a class of nonsmooth functionals so that the classical algorithm cannot directly be used. A change of variable allows us to deal with the lack of regularity. We establish the convergence of a mountain pass algorithm in this setting. Some numerical experiments are also performed and lead to some conjectures. |
| Lingua: | Inglese |
| Rivista: | |
| Citazione: | Grumiau, C., Squassina, M., Troestler, C., On the mountain pass algorithm for the quasi-linear Schrodinger equation, <<DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B>>, 2013; 18 (5): 1345-1360 [http://hdl.handle.net/10807/88876] |
| Appare nelle tipologie: | Articolo in rivista, Nota a sentenza |
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