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math.AP2016★ 1 cited
Energy solutions to one-dimensional singular parabolic problems with data are viscosity solutions
Atsushi Nakayasu, Piotr Rybka
We study one-dimensional very singular parabolic equations with periodic boundary conditions and initial data in , which is the energy space. We show existence of solutions in…
math.AP2016★ 1 cited
Stability properties and large time behavior of viscosity solutions of Hamilton-Jacobi equations on metric spaces
Atsushi Nakayasu, Tokinaga Namba
We investigate asymptotic behaviors of a metric viscosity solution of a Hamilton-Jacobi equation defined on a general metric space in Gangbo-Świȩch sense. Our results include gener…