On the Mountain-pass algorithm for the quasi-linear Schrodinger equation
arXiv:1205.05172 citationsh-index: 43
Originality Synthesis-oriented
AI Analysis
This work provides a numerical method for a class of nonlinear PDEs with nonsmooth energy functionals, which is relevant for researchers in computational PDEs and nonlinear analysis.
The paper adapts the Mountain Pass algorithm to handle nonsmooth functionals arising from the quasi-linear Schrödinger equation, enabling the numerical computation of critical points. The algorithm successfully identifies solutions where classical methods fail.
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 is not directly applicable.