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A chain rule formula in BV and applications to conservation laws
chain rule formula BV conservation laws
2010/11/9
In this paper we prove a new chain rule formula for the distributional derivative of the composite function $v(x)=B(x,u(x))$, where $u:]a,b[\to\R^d$ has bounded variation, $B(x,\cdot)$ is continuousl...
A GENERALIZED CHAIN RULE FOR FORMAL POWER SERIES
Formal power series composition chain rule right distributive law
2008/11/25
Given a formal power series g(x) = P1n=0 bn xn and a nonunit f(x) = P1 n=1 an xn,
it is well-known that the derivative of the composition of formal power series satisfies the
Chain Rule, that is, (g...