Conservative solutions to a one-dimensional nonlinear variational wave equation
نویسندگان
چکیده
منابع مشابه
Conservative Solutions to a Nonlinear Variational Wave Equation
We establish the existence of a conservative weak solution to the Cauchy problem for the nonlinear variational wave equation utt − c(u)(c(u)ux)x = 0, for initial data of finite energy. Here c(·) is any smooth function with uniformly positive bounded values. Mathematics Subject Classification (2000): 35Q35
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We establish the existence of a conservative weak solution to the Cauchy problem for the nonlinear variational wave equation utt − c(u)(c(u)ux)x = 0, for initial data of finite energy. Here c(·) is any smooth function with uniformly positive bounded values. Mathematics Subject Classification (2000): 35Q35
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2015
ISSN: 0022-0396
DOI: 10.1016/j.jde.2015.02.006