Stability and instability of stationary solutions for sublinear parabolic equations
From MaRDI portal
Publication:1680450
DOI10.1016/j.jde.2017.09.023zbMath1374.35199OpenAlexW2757969346MaRDI QIDQ1680450
Publication date: 16 November 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2017.09.023
stabilityinstabilitysemilinear parabolic equationLyapunov functionalstationary solutionssublinear parabolic equation
Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58)
Related Items (3)
Linearized stability for degenerate and singular semilinear and quasilinear parabolic problems: the linearized singular equation ⋮ Large time behavior of ODE type solutions to nonlinear diffusion equations ⋮ Two sequences of solutions for the semilinear elliptic equations with logarithmic nonlinearities
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the uniqueness of solutions with prescribed numbers of zeros for a two-point boundary value problem
- On the heat equation with concave-convex nonlinearity and initial data in weak-\(L^p\) spaces
- Well-posedness of one-phase Stefan problems for sublinear heat equations
- The heat equation with singular nonlinearity and singular initial data
- A singular parabolic equation with logarithmic nonlinearity and \(L^p\)-initial data
- Superlinear elliptic equations with singular coefficients on the boundary
- Semigroups of linear operators and applications to partial differential equations
- Geometric theory of semilinear parabolic equations
- A semilinear parabolic system in a bounded domain
- On the existence of multiple solutions of the boundary value problem for nonlinear second-order differential equations.
- Perturbation theory for linear operators.
- Stability analysis of asymptotic profiles for sign-changing solutions to fast diffusion equations
- A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations
- Hardy Inequalities
- Stability of stationary solutions for semilinear heat equations with concave nonlinearity
- Remarks on sublinear elliptic equations
- A Cauchy problem for $u_t - \Delta u = u^p \ \hbox{with}\ 0 < p < 1$. Asymptotic behaviour of solutions
- Hardy inequalities in Orlicz spaces
- Hardy’s inequality and the boundary size
- On the uniqueness and non‐uniqueness of solutions of initial value problems for some quasi‐linear parabolic equations
- Necessary and sufficient condition for existence and uniqueness of nodal solutions to sublinear elliptic equations
This page was built for publication: Stability and instability of stationary solutions for sublinear parabolic equations