On bounded radial solutions of parabolic equations on $\mathbb{R}^N $: quasiconvergence for initial data with a stable limit at infinity

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic equations (35K15) Axially symmetric solutions to PDEs (35B07)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Distribution of energy and convergence to equilibria in extended dissipative systems
Threshold behavior and non-quasiconvergent solutions with localized initial data for bistable reaction-diffusion equations
Convergence to a steady state for asymptotically autonomous semilinear heat equations on $\mathbb R^N$
On the long time behaviour of solutions to nonlinear diffusion equations on $\mathbb{R}^ n$
A Liouville property and quasiconvergence for a semilinear heat equation
Sharp thresholds between finite spread and uniform convergence for a reaction-diffusion equation with oscillating initial data
Long time behavior of solutions of a reaction-diffusion equation on unbounded intervals with Robin boundary conditions
Convergence and sharp thresholds for propagation in nonlinear diffusion problems
Convergence of anisotropically decaying solutions of a supercritical semilinear heat equation
Geometric theory of semilinear parabolic equations
Convergence of solutions of one-dimensional semilinear parabolic equations
A strong unique continuation theorem for parabolic equations
Coarsening by Ginzburg-Landau dynamics
Convergence to a ground state as a threshold phenomenon in nonlinear parabolic equations
Convergence for radially symmetric solutions of quasilinear elliptic equations is generic
Convergence in time-periodic quasilinear parabolic equations in one space dimension
Quasiconvergence in parabolic equations in one space dimension
Large-time behavior of solutions of parabolic equations on the real line with convergent initial data. II: Equal limits at infinity
Localized and expanding entire solutions of reaction-diffusion equations
Large-time behavior of solutions of parabolic equations on the real line with convergent initial data. III: Unstable limit at infinity
Examples of bounded solutions with nonstationary limit profiles for semilinear heat equations on ${\mathbb{R}}$
Threshold phenomena for symmetric decreasing solutions of reaction-diffusion equations
Convergence to steady states of solutions of non-autonomous heat equations in $\mathbb R^N$
Locally uniform convergence to an equilibrium for nonlinear parabolic equations on $R^N$
Nonconvergent radial solutions of semilinear elliptic equations
Dynamics of nonnegative solutions of one-dimensional reaction–diffusion equations with localized initial data. Part I: A general quasiconvergence theorem and its consequences
On the Uniqueness of the Limit for an Asymptotically Autonomous Semilinear Equation on ℝ^N
On the Infinitely Many Solutions of a Semilinear Elliptic Equation
The zero set of a solution of a parabolic equation.
The long-time behaviour of solutions to parabolic problems on unbounded intervals: the influence of boundary conditions
Radially symmetric patterns of reaction-diffusion systems
Large-time behavior of solutions of parabolic equations on the real line with convergent initial data
The problem of uniqueness of the limit in a semilinear heat equation
CONVERGENCE TO EQUILIBRIUM FOR SEMILINEAR PARABOLIC PROBLEMS IN
Asymptotic periodicity of positive solutions of reaction diffusion equations on a ball.
Propagating Terraces and the Dynamics of Front-Like Solutions of Reaction-Diffusion Equations on ℝ
Localized Solutions of a Semilinear Parabolic Equation with a Recurrent Nonstationary Asymptotics
Sharp transition between extinction and propagation of reaction
Analytic semigroups and optimal regularity in parabolic problems
Energy flow in formally gradient partial differential equations on unbounded domains
Structure of periodic solutions and asymptotic behavior for time-periodic reaction-diffusion equations on $\mathbb{R}$
Nonexistence of radial time-periodic solutions of reaction-diffusion equations with generic nonlinearities

On bounded radial solutions of parabolic equations on \(\mathbb{R}^N \): quasiconvergence for initial data with a stable limit at infinity