Smooth dynamics properties of a non-local evolution equation

DOI10.3934/dcdsb.2023133MaRDI QIDQ6154505

Dennys Silva, Flank D. M. Bezerra, Severino Horácio da Silva

Publication date: 15 February 2024

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

zbMATH Keywords

global attractorupper semicontinuitylower semicontinuitynonlocal equationasymptotic dynamics

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Asymptotics of solutions to integral equations (45M05) Integral operators (45P05)

Cites Work

• Unnamed Item
• Unnamed Item
• Exponential trichotomies and continuity of invariant manifolds
• A nonlocal \(p\)-Laplacian evolution equation with Neumann boundary conditions
• Geometric theory of semilinear parabolic equations
• Existence or global attractors and gradient property for a class of non local evolution equations
• Global attractor and nonhomogeneous equilibria for a nonlocal evolution equation in an unbounded domain
• Glauber evolution with Kac potentials. I. Mesoscopic and macroscopic limits, interface dynamics
• Stability of the interface in a model of phase separation
• Glauber evolution with Kac potentials: II. Fluctuations
• Glauber evolution with Kac potentials: III. Spinodal decomposition
• Upper semicontinuity for a class of nonlocal evolution equations with Neumann condition
• Neurons with graded response have collective computational properties like those of two-state neurons.
• Asymptotic behavior for a class of nonlocal nonautonomous problems

This page was built for publication: Smooth dynamics properties of a non-local evolution equation