Generalizations of the Greenberg-Rascle construction of periodic solutions to quasilinear equations of $1$-D elasticity
Robert Peszek · Quarterly of Applied Mathematics · 1999
The Lax paper deals with genuinely nonlinear versions of (WEI) in which the condition cr"(u) > 0 is required for all u and, thus, a cannot be an odd function.MacCamy and Mizel, however, deal with 1-D elasticity equations that are not genuinely nonlinear and have an inflection point.Their analysis admits odd functions a.