The Cauchy Problem for Differential Equations with Piecewise Smooth Characteristics
نویسندگان
چکیده
We study the Cauchy problem for an equation with first order partial derivatives and two independent variables. One of coefficients is discontinuous. Hence characteristics are piecewise smooth curves solution to (understood in some generalized sense) has specific properties. In particular, solutions not defined domain discontinuous unextendable other domain.
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ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2021
ISSN: ['1072-3374', '1573-8795']
DOI: https://doi.org/10.1007/s10958-021-05232-6