A kinetic approach to general first order quasilinear equations
نویسندگان
چکیده
منابع مشابه
Math 220: First Order Scalar Quasilinear Equations
(1) a(x, y, u)ux + b(x, y, u)uy = c(x, y, u), with a, b, c at least C, given real valued functions. There is an immediate difference between semilinear and quasilinear equations at this point: since a and b depend on u, we cannot associate a vector field on R to the equation: we need to work on R at least to account for the (x, y, u) dependence. To achieve this, we proceed as follows. We consid...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1985
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1985-0768737-9