Discontinuous gradient differential equations and trajectories in the calculus of variations

DOI10.1070/SM2006v197n12ABEH003820zbMath1168.34302arXivmath-ph/0407073OpenAlexW2041458480MaRDI QIDQ3533493

I. A. Bogaevskii

Publication date: 23 October 2008

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0407073

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Existence theories for optimal control problems involving ordinary differential equations (49J15) Discontinuous ordinary differential equations (34A36) Continuity and differentiation questions (26B05) Convexity of real functions of several variables, generalizations (26B25)

Related Items (9)

Asymptotic solution of the multidimensional Burgers equation near a singularity ⋮ Damping of a system of linear oscillators using the generalized dry friction ⋮ Propagation of singularities along broken characteristics ⋮ Detailed description of the evolution mechanism for singularities in the system of pressureless gas dynamics ⋮ Asymptotic control theory for a closed string ⋮ On dynamics of Lagrangian trajectories for Hamilton-Jacobi equations ⋮ Singularities of solutions of Hamilton-Jacobi equations ⋮ Excess action and broken characteristics for Hamilton-Jacobi equations ⋮ Motion of a system of oscillators under the generalized dry friction control

This page was built for publication: Discontinuous gradient differential equations and trajectories in the calculus of variations