Search Results - Calculus of variations AND optimal control; optimization Variational principles of physics~

Harmonic maps and differential geometry : a harmonic map fest in honour of John C. Wood's 60th birthday, September 7-10, 2009, Cagliari, Italy by Loubeau, E. (Eric), Montaldo, S. (Stefano), Wood, John C.

“…This volume contains the proceedings of a conference held in Cagliari, Italy, from September 7-10, 2009, to celebrate John C. Wood's 60th birthday. These…”
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A positive quasilocal mass for causal variational principles: A positive quasilocal mass for causal variational principles by Finster, Felix, Kamran, Niky

“…A new inequality for a nonlinear surface layer integral is proved for minimizers of causal variational principles…”
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Vectorial Variational Principles in L∞ and Their Characterisation Through PDE Systems by Ayanbayev, Birzhan, Katzourakis, Nikos

“…We discuss two distinct minimality principles for general supremal first order functionals for maps and characterise them through solvability of associated second order PDE systems…”
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A Hamiltonian formulation of causal variational principles by Finster, Felix, Kleiner, Johannes

“…Causal variational principles, which are the analytic core of the physical theory of causal fermion systems, are found to have an underlying Hamiltonian structure, giving a formulation of the dynamics…”
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Stochastic Maximum Principle for Optimal Control Problem with Varying Terminal Time and Non-convex Control Domain by Shi, Jin, Yang, Shuzhen

“…In this paper, we consider a varying terminal time structure for the stochastic optimal control problem under state constraints, in which the terminal time varies with the mean value of the state…”
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Deterministic Control of SDEs with Stochastic Drift and Multiplicative Noise: A Variational Approach by Ascione, Giacomo, D’Onofrio, Giuseppe

“… To do this, we use a combination of deterministic Pontryagin’s maximum principle approach and direct methods of calculus of variations…”
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Elliptic methods for solving the linearized field equations of causal variational principles by Finster, Felix, Lottner, Magdalena

“…The existence theory is developed for solutions of the inhomogeneous linearized field equations for causal variational principles…”
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The Dual Approach to Optimal Control in the Coefficients of Nonlocal Nonlinear Diffusion by Schytt, Marcus, Evgrafov, Anton

“…) characterizing the nonlocality of the problem. We then focus on the nonlocal analogue of the classical optimal control in the coefficient problem associated with the dual variational principle, which may be interpreted as that of…”
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Optimal sampled-data controls with running inequality state constraints: Pontryagin maximum principle and bouncing trajectory phenomenon by Bourdin, Loïc, Dhar, Gaurav

“…In the present paper we derive a Pontryagin maximum principle for general nonlinear optimal sampled-data control problems in the presence of running inequality state constraints…”
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A class of conserved surface layer integrals for causal variational principles by Finster, Felix, Kleiner, Johannes

“…–Lagrange equations of a causal variational principle. Studying families of critical measures of causal variational principles, a class of conserved surface layer…”
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New extremal principles with applications to stochastic and semi-infinite programming by Mordukhovich, Boris S., Pérez-Aros, Pedro

“…This paper develops new extremal principles of variational analysis that are motivated by applications to constrained problems of stochastic programming and semi-infinite programming without…”
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The extremal solution for the fractional Laplacian by Ros-Oton, Xavier, Serra, Joaquim

“… s . We also show that, for exponential and power-like nonlinearities, the extremal solution is bounded whenever n < 10 s . In the limit s ↑ 1 , n < 10 is optimal…”
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Noether-like theorems for causal variational principles by Finster, Felix, Kleiner, Johannes

“…The connection between symmetries and conservation laws as made by Noether’s theorem is extended to the context of causal variational principles and causal fermion systems…”
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Relative Pareto minimizers for multiobjective problems: existence and optimality conditions by Bao, Truong Q., Mordukhovich, Boris S.

“… Using advanced tools of variational analysis and generalized differentiation, we establish the existence of relative Pareto minimizers for general multiobjective problems under a refined version…”
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A Stochastic Maximum Principle for General Mean-Field Systems by Buckdahn, Rainer, Li, Juan, Ma, Jin

“…In this paper we study the optimal control problem for a class of general mean-field stochastic differential equations, in which the coefficients depend, nonlinearly, on both the state process as well as of its…”
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Viscosity Solutions of a Class of Second Order Hamilton–Jacobi–Bellman Equations in the Wasserstein Space by Cheung, Hang, Tai, Ho Man, Qiu, Jinniao

“… Our approach adopts the smooth metric developed by Bayraktar et al. (Proc Am Math Soc 151(09):4089–4098, 2023) as our gauge function for the purpose of smooth variational principle used in the proof of comparison theorem…”
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Stochastic Maximum Principle for Optimal Liquidation with Control-Dependent Terminal Time by Cesari, Riccardo, Zheng, Harry

“…In this paper we study a general optimal liquidation problem with a control-dependent stopping time which is the first time the stock holding becomes zero or a fixed terminal time, whichever comes first…”
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Existence of minimizers for causal variational principles on compact subsets of momentum space in the homogeneous setting by Langer, Christoph

“…We prove the existence of minimizers for the causal action in the class of negative definite measures on compact subsets of momentum space in the homogeneous…”
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Towards the theory of strong minimum in calculus of variations and optimal control: a view from variational analysis by Ioffe, A. D.

“…The paper offers a self-contained account of the theory of first and second order necessary conditions for optimal control problems…”
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Singular support of minimizers of the causal variational principle on the sphere by Bäuml, Lucia, Finster, Felix, Schiefeneder, Daniela, von der Mosel, Heiko

“…The support of minimizing measures of the causal variational principle on the sphere is analyzed…”
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