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[PDF] Top 20 Asymptotic profiles of solutions to viscous Hamilton-Jacobi equations

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Asymptotic profiles of solutions to viscous Hamilton-Jacobi equations

Asymptotic profiles of solutions to viscous Hamilton-Jacobi equations

... les solutions int´egrables et n´egatives, la situation est plus ...des solutions est donn´e par une solution de viscosit´e auto-similaire de l’´equation de Hamilton- Jacobi z t + |∇z| q = 0 ... Voir le document complet

34

HÖLDER REGULARITY OF HAMILTON-JACOBI EQUATIONS WITH STOCHASTIC FORCING

HÖLDER REGULARITY OF HAMILTON-JACOBI EQUATIONS WITH STOCHASTIC FORCING

... way to compare solutions of ...independent of x and t. In the new equations, the forcing term is replaced with a random constant that depends on f only through quantities as in ... Voir le document complet

33

Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi Equations in $\mathbb{R}^N$

Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi Equations in $\mathbb{R}^N$

... 2 to control the term containing |Dφ| 2 and dropped the resulting nonnegative expression in |Dφ| m ...convenient to outline our main argument: it follows from (27) and (29) that if φ(x) − R(t) ≤ 0, then v ... Voir le document complet

31

On the Large Time Behavior of Solutions of the Dirichlet problem for Subquadratic Viscous Hamilton-Jacobi Equations

On the Large Time Behavior of Solutions of the Dirichlet problem for Subquadratic Viscous Hamilton-Jacobi Equations

... standard to show that this problem has a unique solution u : Ω × [0, +∞) → R and, as long as one does not need regularity properties, proofs of this fact are easy by using viscosity solutions theory ... Voir le document complet

37

On the        regularizing effect for unbounded solutions of first-order        Hamilton-Jacobi equations

On the regularizing effect for unbounded solutions of first-order Hamilton-Jacobi equations

... statement of (H1), that c ∗ = 0 implies in particular c 1 = 0, which is a rather restrictive assumption in the non-coercive ...This asymptotic result leads us to the comparison with the results ... Voir le document complet

11

On the existence of correctors for the stochastic homogenization of viscous hamilton-jacobi equations

On the existence of correctors for the stochastic homogenization of viscous hamilton-jacobi equations

... how to find correctors is the main reason that the theory of homogenization in random media is rather complicated and required the development of new ...approach to prove homogenization ... Voir le document complet

11

A short proof of the $C^{0,\alpha}$--regularity of viscosity subsolutions for superquadratic viscous Hamilton-Jacobi equations and applications

A short proof of the $C^{0,\alpha}$--regularity of viscosity subsolutions for superquadratic viscous Hamilton-Jacobi equations and applications

... going to describe them in this introduction; we refer the reader to the corresponding ...devoted to the study of the generalized Dirichlet problem for general superquadratic elliptic ... Voir le document complet

24

On the Large Time Behavior of Solutions of Hamilton-Jacobi Equations Associated with Nonlinear Boundary Conditions

On the Large Time Behavior of Solutions of Hamilton-Jacobi Equations Associated with Nonlinear Boundary Conditions

... solution of (CN) (resp., (DBC)), then there exists a solution (v, c) ∈ C(Ω) × R of (E1) ...rest of this paper consists in making these claims more precise by pro- viding the correct assumptions on H ... Voir le document complet

44

Large time behavior of solutions of viscous Hamilton-Jacobi Equations with superquadratic Hamiltonian

Large time behavior of solutions of viscous Hamilton-Jacobi Equations with superquadratic Hamiltonian

... loss of boundary condition when m > 2, due to the presence of the superquadratic growth in ...expression of the solution of (1.1)-(1.2)-(1.3) in terms of a value function ... Voir le document complet

30

Quantitative stochastic homogenization of viscous Hamilton-Jacobi equations

Quantitative stochastic homogenization of viscous Hamilton-Jacobi equations

... To prove Theorem 3, we compare the solutions v δ ( ·, p) of ...(1.19) to the solutions of (1.23) and then apply the result of Theorem ...context of periodic ... Voir le document complet

55

Transmission conditions on interfaces for Hamilton-Jacobi-Bellman equations

Transmission conditions on interfaces for Hamilton-Jacobi-Bellman equations

... like to mention Bressan–Hong [10], which has been, as far as we know, the first paper on the subject and where the relevance of HJB tangential equations, namely equations posed on the ... Voir le document complet

36

Large time behavior of unbounded solutions of first-order Hamilton-Jacobi equations in $\mathbb{R}^N$

Large time behavior of unbounded solutions of first-order Hamilton-Jacobi equations in $\mathbb{R}^N$

... respect to the periodic setting where there is a unique ergodic constant (or critical value) for which ...results of Barles-Roquejoffre [4] and Fathi-Maderna [16], see Remark ...case of unbounded ... Voir le document complet

24

Stochastic homogenization of quasilinear Hamilton-Jacobi equations and geometric motions

Stochastic homogenization of quasilinear Hamilton-Jacobi equations and geometric motions

... lack of a subadditive struc- ture can be overcome by a quantitative ...range of dependence condition) and attempt to prove more: homogenization with an explicit error ...theory of stochastic ... Voir le document complet

65

Regularization by noise for stochastic Hamilton–Jacobi equations

Regularization by noise for stochastic Hamilton–Jacobi equations

... terms of shocks of the derivative, that is, Dw will become discontinuous for large times, even if w 0 is ...help to illustrate the regularizing effect of noise observed in this work (note that ... Voir le document complet

34

On the numerical approximation of first order Hamilton Jacobi equations

On the numerical approximation of first order Hamilton Jacobi equations

... Unité de recherche INRIA Futurs Parc Club Orsay Université - ZAC des Vignes 4, rue Jacques Monod - 91893 ORSAY Cedex France Unité de recherche INRIA Lorraine : LORIA, Technopôle de Nancy[r] ... Voir le document complet

21

Stochastic Homogenization of Nonconvex Hamilton-Jacobi Equations : A Counterexample

Stochastic Homogenization of Nonconvex Hamilton-Jacobi Equations : A Counterexample

... law of H is polynomially mixing of order ...segment of length greater than r/4 that crosses either U or V ”. Conditional to A(r, U, V ), the events E and F are ... Voir le document complet

11

Hamilton–Jacobi equations for optimal control on junctions and networks

Hamilton–Jacobi equations for optimal control on junctions and networks

... aim of the present paper is to focus on optimal control problems with independent dynamics and running costs in the edges, and to show that the arguments in [3] can be adapted to yield a ... Voir le document complet

26

Value iteration convergence of "-monotone schemes for stationary Hamilton-Jacobi equations

Value iteration convergence of "-monotone schemes for stationary Hamilton-Jacobi equations

... point solutions (and that value iterations converge to some neighborhood of any such fixed point) ensures that a solution of the scheme, at least up to some uncertainty, might be ... Voir le document complet

35

Regularizing effects for a class of first-order Hamilton-Jacobi equations

Regularizing effects for a class of first-order Hamilton-Jacobi equations

... the distance between two points $(x, y)$ and $(\hat{x},\hat{y})$ by $|(x, y)-(\hat{x},\hat{y})|$ . For a positive number $R>0$ , we write $B_{R}(0)$ , $B_{R}(0,0)$ for the sets $\{x\in R^{N} | |x|<R\},$ $\{(x, ... Voir le document complet

15

Nonlocal Hamilton-Jacobi equations related to dislocation dynamics and a FitzHugh-Nagumo system

Nonlocal Hamilton-Jacobi equations related to dislocation dynamics and a FitzHugh-Nagumo system

... lows to build visocsity solutions by Perron’s method. We need to use other ...case of dislocations, existence is proved in [8, Theorem ...orem to the perturbated equation and extract a ... Voir le document complet

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