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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...
Infinitely many symmetries and conservation laws for quad-graph equations via the Gardner method
conservation laws quad-graph equations
2010/4/1
The application of the Gardner method for generation of conservation laws to all the ABS equations is considered. It is shown that all the necessary information for the application of the Gardner meth...