Results 41 to 50 of about 7,090,364 (356)
Viscosity solutions to Hamilton–Jacobi–Bellman equations associated with sublinear Lévy(-type) processes [PDF]
Latin American Journal of Probability and Mathematical Statistics, 2018 Using probabilistic methods we study the existence of viscosity solutions to nonlinear integro-differential equations ∂tu(t, x) − sup α∈I (bα(x) ⋅ ∇xu(t, x) + 1 2 tr (Qα(x) ⋅ ∇xu(t, x)) + ∫ y≠0 (u(t, x + y) − u(t, x) −∇xu(t, x) ⋅ h(y)) να(x, dy)) = 0 ...
Franziska Kuhn
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Viscosity solutions and hyperbolic motions: a new PDE method for the N-body problem [PDF]
, 2019 We prove for the $N$-body problem the existence of hyperbolic motions for any prescribed limit shape and any given initial configuration of the bodies. The energy level $h>0$ of the motion can also be chosen arbitrarily.
E. Maderna, A. Venturelli
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Vanishing contact structure problem and convergence of the viscosity solutions [PDF]
Communications in Partial Differential Equations, 2018 This article is devoted to studying the vanishing contact structure problem which is a generalization of the vanishing discount problem. Let be a family of Hamiltonians of contact type with parameter and converge to G(x, p). For the contact type Hamilton-
Qinbo Chen, W. Cheng, H. Ishii, K. Zhao
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Viscosity Solutions of Path-Dependent PDEs with Randomized Time [PDF]
SIAM Journal on Mathematical Analysis, 2018 We introduce a new definition of viscosity solution to path-dependent partial differential equations, which is a slight modification of the definition introduced in [8].
Zhenjie Ren, M. Rosestolato
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Coupling Lévy measures and comparison principles for viscosity solutions [PDF]
Transactions of the American Mathematical Society, 2018 We prove new comparison principles for viscosity solutions of nonlinear integro-differential equations. The operators to which the method applies include but are not limited to those of Lévy–Itô type.
Nestor Guillen +2 more
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Factors influencing rheological properties of plugging agent particle solutions
Youqi dizhi yu caishoulu, 2023 The effect of the thermal composite fluid remaining in the reservoirs on the rheological properties of the plugging agent particle solution is still unclear at the late thermal composite development stage of the heavy oil reservoirs. Therefore， it limits
WANG Wuchao +5 more
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Viscosity Solutions of Stochastic Hamilton-Jacobi-Bellman Equations [PDF]
SIAM Journal of Control and Optimization, 2017 In this paper we study the fully nonlinear stochastic Hamilton-Jacobi-Bellman (HJB) equation for the optimal stochastic control problem of stochastic differential equations with random coefficients.
Jinniao Qiu
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Optimal Exploitation of a General Renewable Natural Resource under State and Delay Constraints
Mathematics, 2020 In this work, we study an optimization problem arising in the management of a natural resource over an infinite time horizon. The resource is assumed to evolve according to a logistic stochastic differential equation.
M’hamed Gaïgi +2 more
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The Viscosity of Colloidal Solutions [PDF]
Proceedings of the Physical Society of London, 1915 The author, in reply to some remarks made by Mr W. B. Hardy in the course of his Guthrie lecture, points out (a) that no viscosity formula can cover the stage of gel formation, since the change from a liquid with only slight anomalies to a system having many properties of an elastic solid necessarily precludes this, and (b) that the formula given by ...
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