Singular limits and properties of solutions of some degenerate elliptic and parabolic equations
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Publication:5383345
DOI10.1017/PRM.2018.31zbMath1418.35043arXiv1606.03793OpenAlexW2962725175WikidataQ128612505 ScholiaQ128612505MaRDI QIDQ5383345
Publication date: 21 June 2019
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.03793
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Blow-up in context of PDEs (35B44) Singular elliptic equations (35J75) Singular parabolic equations (35K67)
Cites Work
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- Rate of convergence to separable solutions of the fast diffusion equation
- The classification of locally conformally flat Yamabe solitons
- Logarithmically singular parabolic equations as limits of the porous medium equation
- Highly time-oscillating solutions for very fast diffusion equations
- Singular limit and exact decay rate of a nonlinear elliptic equation
- Degenerate diffusions. Initial value problems and local regularity theory
- Nonexistence of solutions for nonlinear heat equations of fast-diffusion type
- Classification of radially symmetric self-similar solutions of \(u_t=\Delta \log u\) in higher dimensions.
- Smooth solution for the porous medium equation in a bounded domain
- Singular limit of solutions of the equation \(u_t= \Delta(\frac{u^m}{m})\) as \(m\to 0\)
- Global existence and convergence of Yamabe flow
- On some Dirichlet and Cauchy problems for a singular diffusion equation
- Theory of extended solutions for fast-diffusion equations in optimal classes of data. Radiation from singularities
- The Ricci flow on complete \(\mathbb{R}^ 2\)
- Existence and asymptotic behaviour of solutions of the very fast diffusion equation
- Rate of convergence to Barenblatt profiles for the fast diffusion equation
- Extinction profile of complete non-compact solutions to the Yamabe flow
- Sharp rate of convergence to Barenblatt profiles for a critical fast diffusion equation
- Asymptotic behaviour of solutions of the fast diffusion equation near its extinction time
- Finite-time blow-down in the evolution of point masses by planar logarithmic diffusion
- Singular limit of solutions of the very fast diffusion equation
- Schrödinger operators with singular potentials
- On the extinction profile for solutions of $u_t=\Delta u^{(N-2)/(N+2)}
- Exact decay rate of a nonlinear elliptic equation related to the Yamabe flow
- The Evolution of Singularities in Fast Diffusion Equations: Infinite-Time Blow-Down
- On the extinction profile of solutions to fast diffusion
- The Cauchy Problem for u t = Δu m When 0 < m < 1
- Slow growth of solutions of superfast diffusion equations with unbounded initial data
- Optimal rates of convergence to the singular Barenblatt profile for the fast diffusion equation
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