Fabian Hoppe

most citedGlobal-in-time solutions for quasilinear parabolic PDEs with mixed boundary conditions in the Bessel dual scale

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

collaborators

2 papers

math.OC2025

Optimal control of quasilinear parabolic PDEs with gradient terms and pointwise constraints on the gradient of the state

Lucas Bonifacius, Fabian Hoppe, Hannes Meinlschmidt +1

We derive existence results and first order necessary optimality conditions for optimal control problems governed by quasilinear parabolic PDEs with a class of first order nonlinea…

math.AP2023★ 1 cited

Global-in-time solutions for quasilinear parabolic PDEs with mixed boundary conditions in the Bessel dual scale

Fabian Hoppe, Hannes Meinlschmidt, Ira Neitzel

We prove existence and uniqueness of global-in-time solutions in the $W_{D}^{- 1, p}$ - $W_{D}^{1, p}$ -setting for abstract quasilinear parabolic PDEs with nonsmooth data and mixed boundary…