14 citations · 43 across the 14 of their papers we have counts for
15 papers
Cauchy Problem for Incompressible Neo-Hookean materials
Lars Andersson, Lev Kapitanski
In this paper we consider the Cauchy problem for neo-Hookean incompressible elasticity in spatial dimension . We are here interested primarily in the low regularity case,…
Measurable process selection theorem and non-autonomous inclusions
Jorge E. Cardona, Lev Kapitanski
A semi-process is an analog of the semi-flow for non-autonomous differential equations or inclusions. We prove an abstract result on the existence of measurable semi-processes in t…
Semiflow selection and Markov selection theorems
Jorge E. Cardona, Lev Kapitanski
The deterministic analog of the Markov property of a time-homogeneous Markov process is the semigroup property of solutions of an autonomous differential equation. The semigroup pr…
The Pontrjagin-Hopf invariants for Sobolev maps
Dave Auckly, Lev Kapitanski
Subtle issues arise when extending homotopy invariants to spaces of functions having little regularity, e.g., Sobolev spaces containing discontinuous functions. Sometimes it is not…
Dynamics with choice
Lev Kapitanski, Sanja Živanović
Dynamics with choice is a generalization of discrete-time dynamics where instead of the same evolution operator at every time step there is a choice of operators to transform the c…
Geometry and analysis in non-linear sigma models
D. Auckly, L. Kapitanski, M. Speight
The configuration space of a non-linear sigma model is the space of maps from one manifold to another. This paper reviews the authors' work on non-linear sigma models with target a…