Luke Dyer

collaborators

2 papers

math.AP2018

Parabolic $L^{p}$ Dirichlet Boundary Value Problem and VMO-type time-varying domains

Martin Dindoš, Luke Dyer, Sukjung Hwang

We prove the solvability of the parabolic $L^{p}$ Dirichlet boundary value problem for $1 < p \leq \infty$ for a PDE of the form $u_t = \mbox{div} (A \nabla u) + B \cdot \nabla u$ on…

math.AP2017

Parabolic Regularity and Dirichlet boundary value problems

Martin Dindoš, Luke Dyer

We study the relationship between the Regularity and Dirichlet boundary value problems for parabolic equations of the form $Lu = div (A \nabla u) - u_{t} = 0$ in Lip $(1, 1/2)$ time-va…

Parabolic Lp Dirichlet Boundary Value Problem and VMO-type time-varying domains

Parabolic Regularity and Dirichlet boundary value problems

Parabolic $L^{p}$ Dirichlet Boundary Value Problem and VMO-type time-varying domains