8 papers
The wave equation with specular derivatives
Kiyuob Jung, Jehan Oh
In this paper, we construct the transport equation and the wave equation with specular derivatives and solve these equations in one-dimension. To solve these equations, we introduc…
Gradient estimates for parabolic problems with Orlicz growth and discontinuous coefficients
Jehan Oh, Jihoon Ok
We obtain Calderón-Zygmund type estimates for parabolic equations with Orlicz growth, where nonlinearities involved in the equations may be discontinuous for the space and time var…
On -estimates for solutions of obstacle problems for fully nonlinear elliptic equations with oblique boundary conditions
Sun-Sig Byun, Jeongmin Han, Jehan Oh
This paper concerns fully nonlinear elliptic obstacle problems with oblique boundary conditions. We investigate the existence, uniqueness and -regularity results by findin…
On global estimates for systems with -growth in rough domains
M. Bulíček, S. Byun, P. Kaplický +2
We study regularity results for nonlinear parabolic systems of -Laplacian type with inhomogeneous boundary and initial data, with . We show bounds o…
Regularity for multi-phase variational problems
Cristiana De Filippis, Jehan Oh
We prove regularity for local minimizers of the \oh{multi-phase} energy: \begin{flalign*} w \mapsto \int_Ω\snr{Dw}^{p}+a(x)\snr{Dw}^{q}+b(x)\snr{Dw}^{s} \ dx, \end{flalig…
Interior and boundary higher integrability of very weak solutions for quasilinear parabolic equations with variable exponents
Karthik Adimurthi, Sun-Sig Byun, Jehan Oh
We prove boundary higher integrability for the (spatial) gradient of \emph{very weak} solutions of quasilinear parabolic equations of the form $$ \left\{ \begin{array}{ll} u_t - di…