Semilinear Geometric Optics for Generalized Solutions
نویسندگان
چکیده
This paper is devoted to the study of nonlinear geometric optics in Colombeau algebras of generalized functions in the case of Cauchy problems for semilinear hyperbolic systems in one space variable. Extending classical results, we establish a generalized variant of nonlinear geometric optics. As an application, a nonlinear superposition principle is obtained when distributional initial data are perturbed by rapid oscillations. AMS Subject Classification: 35L45, 35B05, 35D05, 46F30
منابع مشابه
Institute for Mathematical Physics Semilinear Geometric Optics for Generalized Solutions Semilinear Geometric Optics for Generalized Solutions
This paper is devoted to the study of nonlinear geometric optics in Colombeau algebras of generalized functions in the case of Cauchy problems for semilinear hyperbolic systems in one space variable. Extending classical results, we establish a generalized variant of nonlinear geometric optics. As an application, a nonlinear superposition principle is obtained when distributional initial data ar...
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تاریخ انتشار 2000