2 papers
math.AP2016
A time splitting approach to quasilinear Degenerate Parabolic Partial Differential Equations
Kazuo Kobayasi, Dai Noboriguchi
In this paper, we discuss the Cauchy problem for a degenerate parabolic hyperbolic equation with a multiplicative noise. We focus on the existence of a solution. Using nondegenerat…
math-ph2015
A stochastic conservation law with nonhomogeneous Dirichlet boundary conditions
Kazuo Kobayasi, Dai Noboriguchi
This paper discusses the initial-boundary value problem (with a nonhomogeneous boundary condition) for a multi-dimensional scalar first-order conservation law with a multiplicative…