## 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
- Electronic Research Announcements
- Conference Publications
- AIMS Mathematics

DCDS

Parabolic equations given on domains with corners are considered.
Under very weak assumption on the coefficients, it will be shown
that continuous nonnegative supersolutions are strictly positive.

DCDS-B

The global existence of classical solutions to strongly coupled parabolic systems is shown to be equivalent to the availability of an iterative scheme producing a sequence of solutions with uniform continuity in the BMO norms. Amann's results on global existence of classical solutions still hold under much weaker condition that their BMO norms do not blow up in finite time. The proof makes use of some new global and local weighted Gagliardo-Nirenberg inequalities involving BMO norms.

DCDS-B

This paper studies Holder continuity of weak solutions to strongly coupled elliptic systems. We do not assume that the solutions are bounded but BMO and the ellipticity constants can be unbounded.

PROC

It is proven that there exist exponential attractors for dynamical systems
defined by a general chemotaxis system defined on a domain of arbitrary dimension
$n$.

PROC

Using the method of heat approximation, we will establish partial
regularity results for bounded weak solutions to certain strongly
coupled degenerate parabolic systems.

DCDS

Using the method of heat approximation, we will establish higher
integrability for the gradients of bounded weak solutions to certain
strongly coupled degenerate parabolic systems.

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