Chain recurrence and structure of \(\omega\)-limit sets of multivalued semiflows
DOI10.3934/cpaa.2020096zbMath1446.37017OpenAlexW3001073016MaRDI QIDQ2175709
Pavlo O. Kasyanov, Valero, José, Oleksiy V. Kapustyan
Publication date: 29 April 2020
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2020096
differential inclusionsglobal attractorasymptotic behaviour\(\omega\)-limit setreaction-diffusion equationsstructuremultivalued semiflows
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) PDEs with multivalued right-hand sides (35R70) Stability of topological dynamical systems (37B25) Initial-boundary value problems for second-order parabolic equations (35K20) Set-valued and function-space-valued mappings on manifolds (58C06) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Structure of the pullback attractor for a non-autonomous scalar differential inclusion
- Morse decompositions and Lyapunov functions for dynamically gradient multivalued semiflows
- Multivalued dynamics of solutions of an autonomous differential-operator inclusion with pseudomonotone nonlinearity
- Structure and regularity of the global attractor of a reaction-diffusion equation with non-smooth nonlinear term
- Morse decompositions with infinite components for multivalued semiflows
- On global attractors of multivalued semiflows generated by the 3D Bénard system
- Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
- On solutions of evolution inclusions. II
- On attractors of multivalued semi-flows and differential inclusions
- Asymptotic behavior of optimal solutions to control problems for systems described by differential inclusions corresponding to partial differential equations
- Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations
- Evolution equations and their trajectory attractors
- A comparison between two theories for multi-valued semiflows and their asymptotic behaviour
- Global attractors for damped semilinear wave equations.
- Qualitative and quantitative analysis of nonlinear systems. Theory and applications
- Robustness of dynamically gradient multivalued dynamical systems
- Global attractors of a nonautonomous reaction-diffusion equation
- Chain recurrence, semiflows, and gradients
- Extremal bounded complete trajectories for nonautonomous reaction-diffusion equations with discontinuous forcing term
- Global attractors for multivalued semiflows with weak continuity properties
- On attractors for multivalued semigroups defined by generalized semiflows
- Attractors of weakly asymptotically compact set-valued dynamical systems
- On Global Attractors for Autonomous Damped Wave Equation with Discontinuous Nonlinearity
- Stability of gradient semigroups under perturbations
- Persistence in Infinite-Dimensional Systems
- DYNAMICS OF A REACTION–DIFFUSION EQUATION WITH A DISCONTINUOUS NONLINEARITY
- The gradient structure of a flow: I
- Asymptotically Autonomous Semiflows: Chain Recurrence and Lyapunov Functions
- Morse Decompositions for General Dynamical Systems and Differential Inclusions with Applications to Control Systems
- Asymptotic behaviour of monotone multi-valued dynamical systems
- Persistence in dynamical systems
- Set-valued analysis
- Global attractors for multivalued random dynamical systems
