# Haut PDF Viscosity solutions of Hamilton-Jacobi equations and iterated minmax

### Viscosity solutions of Hamilton-Jacobi equations and iterated minmax

**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 ...

95

### On viscosity solutions of certain Hamilton-Jacobi equations: Regularity results and generalized Sard's Theorems

**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

**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, ...

25

### Signed distance functions and viscosity solutions of discontinuous Hamilton-Jacobi Equations

68

### Variational and viscosity operators for the evolutionary Hamilton–Jacobi equation

**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 ...

67

### Hölder regularity for viscosity solutions of fully nonlinear, local or nonlocal, Hamilton-Jacobi equations with super-quadratic growth in the gradient

**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 ...

19

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

**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 ...

30

### Hölder estimates in space-time for viscosity solutions of Hamilton-Jacobi equations

**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 ...

37

### Homogenization of Hamilton-Jacobi equations and applications to traffic flow modelling

**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 ...

98

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

**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 ...

37

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

**solutions**. The main improvement in the assumptions is easy to describe in the coercive case since we just require ...

11

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

**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 ...

31

### 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**...

33

### Quantitative stochastic homogenization of viscous Hamilton-Jacobi equations

**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 ...

55

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

**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 ...

24

### Convergence to Time-Periodic Solutions in Time-Periodic Hamilton–Jacobi Equations on the Circle

**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 ...

13

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

**of**

**solutions**

**of**con- vex

**Hamilton**-

**Jacobi**Equation with boundary ...case

**of**the state constraint boundary condition

**and**then the Dirichlet boundary conditions [28, ...

44

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

**and**Grigory L. Litvinov.

**Hamilton**-

**Jacobi**equa- tions: approximations, numerical analysis

**and**applications, volume 2074

**of**Lecture Notes in ...Loreti

**and**Nicoletta Anna ...

24

### Asymptotic profiles of solutions to viscous Hamilton-Jacobi equations

**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 ...

34

### Discontinuous solutions of Hamilton-Jacobi equations on networks *

**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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