Results 101 to 110 of about 9,739 (169)
Dispersionless Hirota Equations of Two-Component BKP Hierarchy
The BKP hierarchy has a two-component analogue (the 2-BKP hierarchy). Dispersionless limit of this multi-component hierarchy is considered on the level of the τ-function.
Kanehisa Takasaki
doaj
Equilibrium Points for Optimal Investment with Vintage Capital [PDF]
The paper concerns the study of equilibrium points, namely the stationary solutions to the closed loop equation, of an infinite dimensional and infinite horizon boundary control problem for linear partial differential equations. Sufficient conditions for
Silvia Faggian
core
This study is concerned with a system of two nonlinear first order partial differential equations. The right-hand sides of the system contain the squares of the gradients of the unknown functions.
A.A. Kosov +2 more
doaj +1 more source
On the Hamilton-Jacobi-Bellman Equation by the Homotopy Perturbation Method
Our concern in this paper is to use the homotopy decomposition method to solve the Hamilton-Jacobi-Bellman equation (HJB). The approach is obviously extremely well organized and is an influential procedure in obtaining the solutions of the equations.
Abdon Atangana +2 more
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Relaxation in the Cauchy problem for Hamilton-Jacobi equations
In this note we study a little further the relaxation of Hamilton- Jacobi equations
LORETI, Paola, Ishii H.
core
Regularity theory for Hamilton–Jacobi equations
The author studies the regularity and stability under small perturbations of viscosity solutions of Hamilton-Jacobi equations \(H(P+D_x u, x)=\overline{H}(P),\) where \(H(p,x):\mathbb{R}^{2n}\rightarrow \mathbb{R}\) is a strictly convex smooth Hamiltonian (\(D^{2}_{vv} L(x,v)>\gamma >0\) uniformly and coercive in \(p, \lim_{|p|\rightarrow\infty} \frac ...
openaire +2 more sources
Classification of nonlinear boundary conditions for 1D nonconvex Hamilton-Jacobi equations
We study Hamilton-Jacobi equations in [0, +∞) of evolution type with nonlinear boundary conditions of Neumann type in the case where the Hamiltonian is non necessarily convex with respect to the gradient variable. In this paper, we give two main results.
Guerand, Jessica
core
Using the maximum principle for semicontinuous functions [3,4], we prove a general ``continuous dependence on the nonlinearities'' estimate for bounded Holder continuous viscosity solutions of fully nonlinear degenerate elliptic equations.
Espen R. Jakobsen, Kenneth H. Karlsen
doaj
Homogenization of Hamilton-Jacobi equations: Numerical Methods
We study approximation strategies for the limit problem arising in the homogenization of Hamilton-Jacobi equations. They involve first an approximation of the effective Hamiltonian then a discretization of the Hamilton-Jacobi equation with the ...
CAPUZZO DOLCETTA, Italo +2 more
core +1 more source
Uniqueness Results of Semilinear Parabolic Equations in Infinite-Dimensional Hilbert Spaces
This paper is devoted to the uniqueness of solutions for a class of nonhomogeneous stationary partial differential equations related to Hamilton–Jacobi-type equations in infinite-dimensional Hilbert spaces.
Carlo Bianca, Christian Dogbe
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