most citedIntegrability of the derivative of solutions to a singular one-dimensional parabolic problem

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2017

Convexity preserving properties for Hamilton-Jacobi equations in geodesic spaces

Qing Liu, Atsushi Nakayasu

We study the convexity preserving property for a class of time-dependent Hamilton-Jacobi equations in a complete geodesic space. Assuming that the Hamiltonian is nondecreasing, we…

math.AP2017★ 1 cited

Integrability of the derivative of solutions to a singular one-dimensional parabolic problem

Atsushi Nakayasu, Piotr Rybka

We study integrability of the derivative of solutions to a singular one-dimensional parabolic equation with initial data in . In order to avoid additional difficulties we…

math.AP2016

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…