We consider a transmission problem consisting of two semilinear parabolic equations
involving fractional diffusion operators of different orders in a general non-smooth setting …

A full interpolation theory for Sobolev functions with smoothness between 0 and 1 and
vanishing trace on a part of the boundary of an open set is established. Geometric …

We consider linear inhomogeneous non-autonomous parabolic problems associated to
sesquilinear forms, with discontinuous dependence of time. We show that for these …

This thesis provides a unified framework for the error analysis of non-conforming space
discretizations of linear wave equations in time-domain, which can be cast as symmetric …

In this paper, we consider the nonlinear two-phase flow problem with solute transport, in
which an imperfect coupling condition is imposed on the phase interface. The interface …

We consider divergence form operators with complex coefficients on an open subset of
Euclidean space. Boundary conditions in the corresponding parabolic problem are …

In this thesis, a unified error analysis for discretizations of nonlinear first-and second-order
wave-type equations is provided. For this, the wave equations as well as their space …

We consider a transmission problem consisting of a semilinear parabolic equation in a
general non-smooth setting with emphasis on rough interfaces which bear a fractal-like …

In this paper, we carry out a rigorous analysis of four-dimensional variational data
assimilation problems for linear and semilinear parabolic equations with control in the initial …

We prove a global existence, uniqueness and regularity result for a two-species reaction-
diffusion volume-surface system that includes nonlinear bulk diffusion and nonlinear (weak) …