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Conservative Solutions to a Nonlinear Variational Wave Equation

TitleConservative Solutions to a Nonlinear Variational Wave Equation
Publication TypeJournal Article
Year of Publication2006
AuthorsBressan, A, Yuxi, Z
JournalComm. Math. Phys. 266 (2006) 471-497
Abstract

We establish the existence of a conservative weak solution to the Cauchy problem for the nonlinear variational wave equation $u_{tt} - c(u)(c(u)u_x)_x=0$, for initial data of finite energy. Here $c(\\\\cdot)$ is any smooth function with uniformly positive bounded values.

URLhttp://hdl.handle.net/1963/2184
DOI10.1007/s00220-006-0047-8
Alternate JournalGlobal Conservative Solutions to a Nonlinear Variational Wave Equation

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