On a class of degenerate parabolic equations with dynamic boundary conditions
DOI10.1016/j.jde.2012.02.010zbMath1270.35281arXiv1109.0469OpenAlexW2962779989MaRDI QIDQ423595
Publication date: 4 June 2012
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1109.0469
global attractordegenerate parabolic equationfractal dimensiondynamical boundary conditiontrajectory attractorsupercritical nonlinearities
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Degenerate parabolic equations (35K65) Continuation and prolongation of solutions to PDEs (35B60) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Quasilinear parabolic equations (35K59)
Related Items (36)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of bounded solutions for a class of quasilinear elliptic systems on manifolds with boundary
- Sharp estimates for the global attractor of scalar reaction-diffusion equations with a Wentzell boundary condition
- Long-time behavior of reaction-diffusion equations with dynamical boundary condition
- Infinite-dimensional attractors for evolution equations with \(p\)-Laplacian and their Kolmogorov entropy.
- Well posedness and the global attractor of some quasi-linear parabolic equations with nonlinear dynamic boundary conditions.
- Degenerate parabolic equations
- Attractors of the non-autonomous reaction-diffusion equation with nonlinear boundary condition
- A semilinear equation with generalized Wentzell boundary condition
- Phase-field systems with nonlinear coupling and dynamic boundary conditions
- Convergence and decay rate to equilibrium of bounded solutions of quasilinear parabolic equations
- Global attractors for \(p\)-Laplacian equation
- The heat equation with nonlinear general Wentzell boundary condition
- The non-isothermal Allen-Cahn equation with dynamic boundary conditions
- Blow up for some quasilinear equations with dynamical boundary conditions of parabolic type
- On the asymptotic behavior of the Caginalp system with dynamic boundary conditions
- Uniform attractors for the closed process and applications to the reaction-diffusion equation with dynamical boundary condition
- Exponential attractors for a quasilinear parabolic equation
- Existence and non-existence of global solutions for a semilinear heat equation
- Nonmonotone perturbations for nonlinear parabolic equations associated with subdifferential operators, Cauchy problems
- Asymptotic stability and blowing up of solutions of some nonlinear equations
- On quasilinear fully parabolic boundary value problems
- Infinite-dimensional dynamical systems in mechanics and physics.
- The heat equation with generalized Wentzell boundary condition.
- Evolution inclusions governed by the difference of two subdifferentials in reflexive Banach spaces
- Quasilinear abstract parabolic evolution equations and exponential attractors
- Nonlinear elliptic boundary value problems at resonance with nonlinear Wentzell boundary conditions
- Asymptotic behaviour of nonlinear parabolic equations with monotone principal part.
- Asymptotic regularity of solutions of singularly perturbed damped wave equations with supercritical nonlinearities
- Quasilinear parabolic equations with nonlinear Wentzell-Robin type boundary conditions
- Global existence for fully parabolic boundary value problems
- Derivation and physical interpretation of general boundary conditions
- Qualitative behavior of a class of stochastic parabolic PDEs with dynamical boundary conditions
- Attractors for parabolic equations with dynamic boundary conditions
- Quasilinear parabolic systems with dynamical boundary conditions
- Blow Up for Reaction Diffusion Equations Under Dynamical Boundary Conditions†
- Convergence to equilibrium for the semilinear parabolic equation with dynamical boundary condition
- Nonlinear balance for reaction-diffusion equations under nonlinear boundary conditions: Dissipativity and blow-up
This page was built for publication: On a class of degenerate parabolic equations with dynamic boundary conditions