Results 11 to 20 of about 114 (72)
Infinite powers and Cohen reals
We give a consistent example of a zero-dimensional separable metrizable space $Z$ such that every homeomorphism of $Z^\omega$ acts like a permutation of the coordinates almost everywhere. Furthermore, this permutation varies continuously. This shows that
Medini, Andrea +2 more
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We study, in a unified way, the following questions related to the properties of Pontryagin extremals for optimal control problems with unrestricted controls: i) How the transformations, which define the equivalence of two problems, transform the ...
Torres, Delfim F. M.
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Unstabilized hybrid high-order method for a class of degenerate convex minimization problems [PDF]
The relaxation procedure in the calculus of variations leads to minimization problems with a quasi-convex energy density. In some problems of nonlinear elasticity, topology optimization, and multiphase models, the energy density is convex with some ...
Tran, Ngoc Tien
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Lipschitzian Regularity of the Minimizing Trajectories for Nonlinear Optimal Control Problems
We consider the Lagrange problem of optimal control with unrestricted controls and address the question: under what conditions we can assure optimal controls are bounded?
Torres, Delfim F. M.
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Stochastic homogenization of nonconvex unbounded integral functionals with convex growth
We consider the well-travelled problem of homogenization of random integral functionals. When the integrand has standard growth conditions, the qualitative theory is well-understood. When it comes to unbounded functionals, that is, when the domain of the
Duerinckx, Mitia, Gloria, Antoine
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Contingent Cones to Reachable Sets of Control Systems [PDF]
The author studies high order necessary conditions for optimality for an optimal control problem via properties of contingent cones to reachable sets along the optimal trajectory.
Frankowska, H.
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Rate-independent elastoplasticity at finite strains and its numerical approximation [PDF]
Gradient plasticity at large strains with kinematic hardening is analyzed as quasistatic rate-independent evolution. The energy functional with a frame-indifferent polyconvex energy density and the dissipation are approximated numerically by finite ...
Mielke, Alexander, Roubíček, Tomáš
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On asymptotic behavior of Heine-Stieltjes and Van Vleck polynomials [PDF]
We investigate the strong asymptotics of Heine-Stieltjes polynomials - polynomial solutions of a second order differential equations with complex polynomial coefficients.
Martinez-Finkelshtein, A. +1 more
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Sistemi ellittici con soluzioni limitate e funzionali doppia fase [PDF]
We study boundedness of weak solutions to elliptic systems of partial differential equations in divergence form, under the so-called p,q growth conditions.
Leonetti, Francesco
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In optimal control theory, infimum gap means that there is a gap between the infimum values of a given minimum problem and an extended problem, obtained by enlarging the set of original solutions and controls. The gap phenomenon is somewhat "dual" to the
Fusco, Giovanni, Motta, Monica
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