Rate of convergence to separable solutions of the fast diffusion equation
From MaRDI portal
Publication:314383
DOI10.1007/s11856-016-1319-4zbMath1348.35120arXiv1405.4661OpenAlexW2294924798MaRDI QIDQ314383
Publication date: 16 September 2016
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.4661
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15)
Related Items
Asymptotic behaviour of solutions of the fast diffusion equation near its extinction time, Singular extinction profiles of solutions to some fast diffusion equations, Singular limits and properties of solutions of some degenerate elliptic and parabolic equations, Asymptotic behaviour of singular solution of the fast diffusion equation in the punctured Euclidean space, Asymptotic large time behavior of singular solutions of the fast diffusion equation, Asymptotic behavior of solutions of a \(k\)-Hessian evolution equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A continuum of extinction rates for the fast diffusion equation
- Behaviour near extinction for the fast diffusion equation on bounded domains
- Asymptotic behavior of a plasma type equation with finite extinction
- Sharp estimates of the convergence rate for a semilinear parabolic equation with supercritical nonlinearity
- Asymptotic analysis of extinction behaviour in fast nonlinear diffusion
- Special fast diffusion with slow asymptotics: Entropy method and flow on a Riemannian manifold
- Asymptotics of the fast diffusion equation via entropy estimates
- Stability of the separable solution for fast diffusion
- Asymptotic behaviour near finite-time extinction for the fast diffusion equation
- Self-similar solutions of a fast diffusion equation that do not conserve mass
- Rate of convergence to Barenblatt profiles for the fast diffusion equation
- Stability analysis of asymptotic profiles for sign-changing solutions to fast diffusion equations
- Quasilinear Dirichlet problems driven by positive sources
- Convergence rate for a parabolic equation with supercritical nonlinearity
- On the extinction profile for solutions of $u_t=\Delta u^{(N-2)/(N+2)}
- Rate of convergence to Barenblatt profiles for the fast diffusion equation with a critical exponent
- Radial fast diffusion on the hyperbolic space
- On the extinction profile of solutions to fast diffusion
- On the stability and instability of positive steady states of a semilinear heat equation in ℝn
- On the Cauchy Problem for Reaction-Diffusion Equations
- The asymptotic profile of solutions of a class of doubly nonlinear equations
- Self-similar behaviour for the equation of fast nonlinear diffusion
- Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities
