Results 321 to 330 of about 6,326,277 (372)
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2001
We present here the most significant results which are customarily grouped under the name of Maximum Principle. It supplies a set of necessary conditions of optimality for a wide class of optimal control problems. Firstly, we give a formal, yet synthetic, description of these problems is given.
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We present here the most significant results which are customarily grouped under the name of Maximum Principle. It supplies a set of necessary conditions of optimality for a wide class of optimal control problems. Firstly, we give a formal, yet synthetic, description of these problems is given.
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Maximum and Comparison Principles [PDF]
, 1977 The purpose of this chapter is to provide various maximum and comparison principles for quasilinear equations which extend corresponding results in Chapter 3. We consider second order, quasilinear operators Q of the form (10.1) Qu = aij(x, u, Du)Diju + b(x, u, Du), aij = aji, where x = (x1..., xn) is contained in a domain Ω of ℝn, n ≥ 2, and, unless ...
David Gilbarg, Neil S. Trudinger
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2007
We consider classical linear and quasilinear elliptic inequalities as well as divergence structure and variational operators, with emphasis on the important topics of comparison results and tangency theorems. This work ultimately applies also to weak solutions in appropriate Sobolev spaces. In order that the book may serve the purposes of reference and
PUCCI, Patrizia, J. SERRIN
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We consider classical linear and quasilinear elliptic inequalities as well as divergence structure and variational operators, with emphasis on the important topics of comparison results and tangency theorems. This work ultimately applies also to weak solutions in appropriate Sobolev spaces. In order that the book may serve the purposes of reference and
PUCCI, Patrizia, J. SERRIN
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On the strong maximum principle
Complex Variables and Elliptic Equations, 2019In this paper we study the strong maximum principle for equations of the form F[u]=H(u,|Du|) where F is either a fully nonlinear elliptic operator or is the p-Laplace operator.
Ahmed Mohammed, Antonio Vitolo
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, 2015
The strong maximum principle is a remarkable property of parabolic equations, which is expected to be partly inherited by fractional diffusion equations.
Yikan Liu, W. Rundell, Masahiro Yamamoto
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The strong maximum principle is a remarkable property of parabolic equations, which is expected to be partly inherited by fractional diffusion equations.
Yikan Liu, W. Rundell, Masahiro Yamamoto
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The Pontryagin Maximum Principle for Nonlinear Optimal Control Problems with Infinite Horizon
Journal of Optimization Theory and Applications, 2015The famous proof of the Pontryagin maximum principle for control problems on a finite horizon bases on the needle variation technique, as well as the separability concept of cones created by disturbances of the trajectories.
Nico Tauchnitz
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On the Stochastic Maximum Principle
SIAM Journal on Control and Optimization, 1978A representation of the adjoint process, which appears in a general version of the maximum principle for control systems described by Girsanov solutions of stochastic differential equations, is given in terms of the linearization of the state equation.
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A Stochastic Maximum Principle
SIAM Journal on Control and Optimization, 1976The major theorem of this paper is very closely parallel to the classical Pontryagin maximum principle. The classical case, very roughly stated, says that if $u(t)$ is a control function which has an associated trajectory $x(t)$, then there is a function $H(v,x,t)$ such that $u(t)$ is optimal only if for each t and for all v in the control set, \[H(u(t)
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2010
This chapter focuses on a set of optimality conditions known as the Maximum Principle. Many competing sets of optimality conditions are now available, but the Maximum Principle retains a special significance. An early version of the Maximum Principle due to Pontryagin er al.
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This chapter focuses on a set of optimality conditions known as the Maximum Principle. Many competing sets of optimality conditions are now available, but the Maximum Principle retains a special significance. An early version of the Maximum Principle due to Pontryagin er al.
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