## Journals

- Advances in Mathematics of Communications
- Big Data & Information Analytics
- Communications on Pure & Applied Analysis
- Discrete & Continuous Dynamical Systems - A
- Discrete & Continuous Dynamical Systems - B
- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
- Inverse Problems & Imaging
- Journal of Computational Dynamics
- Journal of Dynamics & Games
- Journal of Geometric Mechanics
- Journal of Industrial & Management Optimization
- Journal of Modern Dynamics
- Kinetic & Related Models
- Mathematical Biosciences & Engineering
- Mathematical Control & Related Fields
- Mathematical Foundations of Computing
- Networks & Heterogeneous Media
- Numerical Algebra, Control & Optimization
- AIMS Mathematics
- Conference Publications
- Electronic Research Announcements
- Mathematics in Engineering

### Open Access Journals

CPAA

We establish local maximum principle for
$L^p$-viscosity solutions of fully nonlinear elliptic partial differential
equations with unbounded ingredients.

CPAA

A comparison principle for viscosity solutions of second-order quasilinear
elliptic partial dierential equations with no zeroth order terms is shown.
A dierent transformation from that of Barles and Busca in [3] is adapted to
enable us to deal with slightly more general equations.

DCDS-B

We study the variational
inequality for a 1-dimensional linear-quadratic control
problem with discretionary stopping.
We establish the existence of a unique
strong solution via stochastic analysis and
the viscosity solution technique.
Finally, the optimal policy is shown to exist from the
optimality conditions.

DCDS

In this paper we study the boundary value problem for the
Hamilton-Jacobi-Isaacs equation of pursuit-evasion
differential games with state constraints.
We prove existence of a continuous viscosity solution and
a comparison theorem that we apply to establish uniqueness
of such a solution and its
uniform approximation by solutions of discretized equations.

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