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Titlebook: Generalized Characteristics of First Order PDEs; Applications in Opti Arik Melikyan Book 1998 Springer Science+Business Media New York 1998

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Grundlagen und Verfahren der Videotechniktives .,, i = 1,…, n, continuously depending upon . in the domain Ω. Formally, to veri fy whether a given continuous function . is a solution or is not, one needs only the existence of the partial derivatives. There are functions for which these derivatives, being discontinuous, exist in one coordin
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https://doi.org/10.1007/978-3-642-56335-5rmulated for the case when pursuer has advantage in speed. Otherwise the game of approach is considered, i.e. the cost function is the minimal distance between the players during infinite time-interval of motion. Despite qualitatively different formulations of the problems their solutions appear to
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Unternehmensführung und Marketingviscosity) solutions of nonlinear first order PDEs having smooth or nonsmooth Hamiltonians. In this chapter we will study the other source of singular characteristics associated with smooth (classical) solutions of a PDE. In such a problem, the singularities described by singular characteristics, ar
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Das Prinzip der Individualschablonen,lution to a second order PDE. These characteristics can be understood either as singular ones, related to some appropriate first order PDE, or as generalized characteristics introduced in Chapter 1 and related directly to the second order PDE, the Euler equation for a variational problem. In the lat
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https://doi.org/10.1007/978-1-4612-1758-9Boundary value problem; Differential Games; First Order PDEs; Manifold; equation; function; partial differ
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Book 1998n appropriate matching principle are used. In Optimal Control and Differential Games this principle is the optimality of the cost function. In physics and mechanics certain laws must be fulfilled for correct matching. A purely mathematical approach also can be used, when the generalized solution is
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