23 citations · 55 across the 18 of their papers we have counts for
5 papers · 1 filter
Complexity Blowup for Solutions of the Laplace and the Diffusion Equation
Aras Bacho, Holger Boche, Gitta Kutyniok
In this paper, we investigate the computational complexity of solutions to the Laplace and the diffusion equation. We show that for a certain class of initial-boundary value proble…
Symbolic Recovery of Differential Equations: The Identifiability Problem
Philipp Scholl, Aras Bacho, Holger Boche +1
Symbolic recovery of differential equations is the ambitious attempt at automating the derivation of governing equations with the use of machine learning techniques. In contrast to…
Well-posedness of a fully nonlinear evolution inclusion of second order
Aras Bacho
The well-posedness of the abstract \textsc{Cauchy} problem for the doubly nonlinear evolution inclusion equation of second order \begin{align*} \begin{cases} u''(t)+\partial Ψ(u'(t…
Abstract nonlinear evolution inclusions of second order with applications in visco-elasto-plasticity
Aras Bacho
Existence of strong solutions of an abstract Cauchy problem for a class of doubly nonlinear evolution inclusion of second order is established via a semi-implicit time discretizati…
A generalization of the Moreau-Yosida regularization
Aras Bacho
In many applications, one deals with nonsmooth functions, e.g., in nonsmooth dynamical systems, nonsmooth mechanics, or nonsmooth optimization. In order to establish theoretical re…