Work

On homotopy properties of solutions of some differential inclusions in the W1,P-topology

Year: 2024

Type: article

Abstract: We consider a differential inclusion on a manifold, defined by a field of open half-spaces whose boundary in each tangent space is the kernel of a one-form ω. We make the assumption that the corank one distribution associated to the kernel of ω is completely nonholonomic of step 2. We identify a subset of solutions of the differential inclusion, satisfying two endpoints and periodic boundary conditions, which are homotopy equivalent in the W1,p-topology, for any p ∈ [1,+∞), to the based loop space and the free loop space respectively.

Source: ESAIM Control Optimisation and Calculus of Variations

DOI: 10.1051/cocv/2024094

Authors: Erasmo Caponio, Antonio Masiello, Stefan Suhr

Institutions: Polytechnic University of Bari, Ruhr University Bochum

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: