2 papers
math.AP2016
Non-parabolic diffusion problems in one space dimension
Seonghak Kim, Baisheng Yan
We study some non-parabolic diffusion problems in one-space dimension, where the diffusion flux exhibits forward and backward nature of the Perona-Malik, Höllig or non-Fourier type…
math.AP2016
Rate of convergence for one-dimensional quasilinear parabolic problem and its applications
Seonghak Kim
Based on a comparison principle, we derive an exponential rate of convergence for solutions to the initial-boundary value problem for a class of quasilinear parabolic equations in…