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On decay of almost periodic viscosity solutions to Hamilton-Jacobi equations
Evgeny Yu. Panov
We establish that a viscosity solution to a multidimensional Hamilton-Jacobi equation with a convex non-degenerate hamiltonian and Bohr almost periodic initial data decays to its i…
On almost periodic viscosity solutions to Hamilton-Jacobi equations
Evgeny Yu. Panov
We establish that a viscosity solution to a multidimensional Hamilton-Jacobi equation with Bohr almost periodic initial data remains to be spatially almost periodic and the additiv…
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…
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…