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math.AP2020
On decay of entropy solutions to multidimensional conservation laws in the case of perturbed periodic initial data
Evgeny Yu. Panov
Under a precise genuine nonlinearity assumption we establish the decay of entropy solutions of a multidimensional scalar conservation law with merely continuous flux and with initi…
math.AP2020
On some properties of entropy solutions of degenerate non-linear anisotropic parabolic equations
Evgeny Yu. Panov
We prove existence of the largest and the smallest entropy solutions to the Cauchy problem for a nonlinear degenerate anisotropic parabolic equation. Applying this result, we estab…