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math.AP2015
On one criterion of the uniqueness of generalized solutions for linear transport equations with discontinuous coefficients
Evgeny Yu. Panov
We study generalized solutions of multidimensional transport equation with bounded measurable solenoidal field of coefficients . It is shown that any generalized solution sat…
math.AP2015
On a condition of strong precompactness and the decay of periodic entropy solutions to scalar conservation laws
Evgeny Yu. Panov
We propose a new sufficient non-degeneracy condition for the strong precompactness of bounded sequences satisfying the nonlinear first-order differential constraints. This result i…