Haut PDF Viscosity solutions of Hamilton-Jacobi equations and iterated minmax
Viscosity solutions of Hamilton-Jacobi equations and iterated minmax
... les solutions des équations ...de solutions de l’équation perturbée par un petit terme de diffusion, et la solution minmax, définie géométriquement à partir d’une fonction génératrice quadratique à ...
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On viscosity solutions of certain Hamilton-Jacobi equations: Regularity results and generalized Sard's Theorems
... regularity of ϕ comes from the fact that Theorem 10 is a corollary of the classical Sard Theorem applied to a mapping from a man- ifold of dimension 2n + N (n + 1) into R (see ...proof of ...
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REGULARITY PROPERTIES OF THE DISTANCE FUNCTIONS TO CONJUGATE AND CUT LOCI FOR VISCOSITY SOLUTIONS OF HAMILTON-JACOBI EQUATIONS AND APPLICATIONS IN RIEMANNIAN GEOMETRY
... constant of τ is bounded from above by M/(ρ), where M denotes the Lipschitz constant of ...sense of (PL)) on the set S ρ := {x ∈ S | diam (∂u(exp(t cut (x), x))) ≥ ρ} ...loss of generality, ...
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Signed distance functions and viscosity solutions of discontinuous Hamilton-Jacobi Equations
... Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles - BP 93 - 06902 Sophia Antipolis Cedex France Unité de recherche INRIA Lorraine : LORIA, Technopôle de Nancy-Brabois - [r] ...
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Variational and viscosity operators for the evolutionary Hamilton–Jacobi equation
... C, and we refer to [Wei13b] for a survey of minmax related subtleties, including an example due to ...the minmax is not uniquely ...S and ˜ S are two generating functions quadratic at ...
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Hölder regularity for viscosity solutions of fully nonlinear, local or nonlocal, Hamilton-Jacobi equations with super-quadratic growth in the gradient
... affine and p > 1) and locally uniformly bounded (thanks to (33)), it is has a modulus of continuity which is locally uniform with respect to s and ...y and a, this implies that the ...
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Large time behavior of solutions of viscous Hamilton-Jacobi Equations with superquadratic Hamiltonian
... study of the long time behavior of the solution u of ...study of a stationary ergodic problem. More precisely, like in the work of lasry & Lions [37], we are interested in findind ...
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Hölder estimates in space-time for viscosity solutions of Hamilton-Jacobi equations
... order equations. In this case, when H(x, t, z) is convex in z, the viscosity solutions of (3) can be represented as value functions of problems in the calculus of ...regularity ...
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Homogenization of Hamilton-Jacobi equations and applications to traffic flow modelling
... system of delay differential equations ...position of every driver are called microscopic models. The effect of drivers’ reaction times on the stability of the corresponding systems ...
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On the Large Time Behavior of Solutions of the Dirichlet problem for Subquadratic Viscous Hamilton-Jacobi Equations
... R and, as long as one does not need regularity properties, proofs of this fact are easy by using viscosity solutions theory (see Barles and Da Lio [4] and references ...study ...
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On the regularizing effect for unbounded solutions of first-order Hamilton-Jacobi equations
... where A may be degenerate. In both cases, we provide regularizing effects for bounded from below solutions. The main improvement in the assumptions is easy to describe in the coercive case since we just require ...
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Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi Equations in $\mathbb{R}^N$
... problem of large-time behavior of unbounded so- lutions of (1)-(2) mainly with probabilistic techniques with x-dependent Hamil- ...solution of (1)-(2) which comes from the underlying ...
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HÖLDER REGULARITY OF HAMILTON-JACOBI EQUATIONS WITH STOCHASTIC FORCING
... ), and B is an m-dimensional Brownian motion defined over a fixed probability space (Ω, F, ...bounded solutions of ...bound and exponent that are independent of the regularity of ...
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Quantitative stochastic homogenization of viscous Hamilton-Jacobi equations
... the solutions v δ ( ·, p) of (1.19) to the solutions of ...(1.23) and then apply the result of Theorem ...context of periodic homogenization of first-order ...
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A short proof of the $C^{0,\alpha}$--regularity of viscosity subsolutions for superquadratic viscous Hamilton-Jacobi equations and applications
... study of the generalized Dirichlet problem for general superquadratic elliptic equations : assuming or not that the equation is uni- formly elliptic, one cannot solve in general the classical Dirichlet ...
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Convergence to Time-Periodic Solutions in Time-Periodic Hamilton–Jacobi Equations on the Circle
... unique viscosity solution u(t, x) : [s, +∞[×T −→ IR, such that u(s, ...- and this is not specific to the one-dimensional setting - that there exists a real number λ such that u(t, x) + λt is bounded for all ...
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On the Large Time Behavior of Solutions of Hamilton-Jacobi Equations Associated with Nonlinear Boundary Conditions
... behavior of solutions of con- vex Hamilton-Jacobi Equation with boundary ...case of the state constraint boundary condition and then the Dirichlet boundary conditions [28, ...
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Large time behavior of unbounded solutions of first-order Hamilton-Jacobi equations in $\mathbb{R}^N$
... Ishii, and Grigory L. Litvinov. Hamilton-Jacobi equa- tions: approximations, numerical analysis and applications, volume 2074 of Lecture Notes in ...Loreti and Nicoletta Anna ...
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Asymptotic profiles of solutions to viscous Hamilton-Jacobi equations
... non-positive and integrable solutions, the large time behavior of solutions is more ...conditions and for 1 < q < 2, the large time behavior of solutions is given by ...
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Discontinuous solutions of Hamilton-Jacobi equations on networks *
... existence and uniqueness results for Hamilton-Jacobi equations on one dimensional networks or junctions [ 29 , 1 , 2 , 21 , 19 ...use of strictly PDE methods in order to prove existence ...
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