An analytic approach to the normalized Ricci flow-like equation
From MaRDI portal
Publication:844965
DOI10.1016/j.na.2009.10.031zbMath1184.35058OpenAlexW2074905293MaRDI QIDQ844965
Takashi Suzuki, Nikos I. Kavallaris
Publication date: 5 February 2010
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2009.10.031
Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Integro-partial differential equations (35R09) Quasilinear parabolic equations (35K59)
Related Items
Gradient inequality and convergence to steady-states of the normalized Ricci flow on surfaces ⋮ An analytic approach to the normalized Ricci flow-like equation: revisited
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Free energy and self-interacting particles
- The Ricci flow on the 2-sphere
- Uniqueness of solutions for a mean field equation on torus
- Geometric theory of semilinear parabolic equations
- On a sharp Sobolev-type inequality on two-dimensional compact manifolds
- On the Cauchy problem for \(u_t= \Delta\log u\) in higher dimensions
- Sharp borderline Sobolev inequalities on compact Riemannian manifolds
- Rotational symmetry of solutions of some nonlinear problems in statistical mechanics and in geometry
- Global existence and convergence of Yamabe flow
- On the asymptotic behavior of solutions of the conformal Gaussian curvature equations in \(\mathbb R^ 2\)
- Diffusive limit for finite velocity Boltzmann kinetic models
- Palais-Smale sequence relative to the Trudinger-Moser inequality
- The maximal solution of the logarithmic fast diffusion equation in two space dimensions
- Uniqueness of solutions to the mean field equations for the spherical Onsager vortex
- A nonlinear parabolic problem on a Riemannian manifold without boundary arising in climatology
- Semi-linear second-order elliptic equations in \(L^1\)
- Asymptotic behaviour of solutions of \(u_t=\Delta\log u\) in a bounded domain
- Global existence and uniqueness of solutions of the Ricci flow equation
- On some Dirichlet and Cauchy problems for a singular diffusion equation
- Non-uniqueness of solutions of nonlinear heat equations of fast diffusion type
- The fast diffusion equation with logarithmic nonlinearity and the evolution of conformal metrics in the plane
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II
- On a singular diffusion equation
- Nonlinear stability of evaporating/condensing liquid films
- Local Existence And Uniqueness of Solutions of Degenerate Parabolic Equations
- Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)euin two dimensions
- A Nonlinear heat equation with singular diffusivity
- Existence of solutions of the equation ut=Δlogu
- Some a Priori Estimates for a Singular Evolution Equation Arising in Thin-Film Dynamics
- Convergence of Sequences of Semigroups of Nonlinear Operators with an Application to Gas Kinetics
- Analytic semigroups and optimal regularity in parabolic problems
- Large time behaviour of solutions of the Ricci flow equation on \({\mathbb{R}}^ 2\).