Concept

Tietze extension theorem

Related publications (5)

Linear Lipschitz and C-1 extension operators through random projection

We construct a regular random projection of a metric space onto a closed doubling subset and use it to linearly extend Lipschitz and C-1 functions. This way we prove more directly a result by Lee and Naor [5] and we generalize the C-l extension theorem by ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2021

MATHICSE Technical Report : Automatic reduction of PDEs defined on domains with variable shape

Andrea Manzoni, Federico Negri

In this work we propose a new, general and computationally cheap way to tackle parametrized PDEs defined on domains with variable shape when relying on the reduced basis method. We easily describe a domain by boundary parametrizations, and obtain domain de ...

MATHICSE2016

Existence and Uniqueness of Maximal Regular Flows for Non-smooth Vector Fields

Maria Colombo

In this paper we provide a complete analogy between the Cauchy-Lipschitz and the DiPerna-Lions theories for ODE's, by developing a local version of the DiPerna-Lions theory. More precisely, we prove the existence and uniqueness of a maximal regular flow fo ...

2015

Input Filter Design for Feasibility in Constraint-Adaptation Schemes

Dominique Bonvin, Grégory François, Gene Bunin

The subject of real-time, steady-state optimization under significant uncertainty is addressed in this paper. Specifically, the use of constraint-adaptation schemes is reviewed, and it is shown that, in general, such schemes cannot guarantee process feasib ...

2011

A statistical physics perspective of complex networks

Thomas Petermann

A statistical physics perspective of complex networks: from the architecture of the Internet and the brain to the spreading of an epidemic Statistical physics has revealed itself as the ideal framework to describe large networks appearing in a variety of d ...

EPFL2005

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