Gradient estimates for a nonlinear parabolic equation and Liouville theorems
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Publication:2420677
DOI10.1007/s00229-018-1073-5zbMath1415.53025arXiv1803.10619OpenAlexW2794968893MaRDI QIDQ2420677
Publication date: 6 June 2019
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.10619
Nonlinear parabolic equations (35K55) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
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Cites Work
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- Gradient estimates and Liouville theorems for linear and nonlinear parabolic equations on Riemannian manifolds
- Elliptic gradient estimates for a nonlinear heat equation and applications
- Gradient estimates and Liouville theorems for nonlinear parabolic equations on noncompact Riemannian manifolds
- Gradient estimates for the equation \(\Delta u + cu ^{-\alpha} = 0\) on Riemannian manifolds
- Differential Harnack inequalities on Riemannian manifolds. I: Linear heat equation
- Gradient estimates for \(u_t = \Delta F(u)\) on manifolds and some Liouville-type theorems
- Yamabe-type equations on complete, noncompact manifolds
- An extension of E. Hopf's maximum principle with an application to Riemannian geometry
- Comparison geometry for the Bakry-Emery Ricci tensor
- A Yamabe-type problem on smooth metric measure spaces
- Gradient estimates for the heat equation under the Ricci flow
- Li-Yau type estimates for a nonlinear parabolic equation on complete manifolds
- Conformal deformation of a Riemannian metric to constant scalar curvature
- On the parabolic kernel of the Schrödinger operator
- Gradient estimates and Harnack inequalities for nonlinear parabolic and nonlinear elliptic equations on Riemannian manifolds
- Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
- A matrix Harnack estimate for the heat equation
- Scalar curvature and conformal deformations of noncompact Riemannian manifolds
- Constrained and linear Harnack inequalities for parabolic equations
- Some geometric properties of the Bakry-Émery-Ricci tensor
- Prescribed scalar curvature on a complete Riemannian manifold in the negative case
- Gradient estimates for some \(f\)-heat equations driven by Lichnerowicz's equation on complete smooth metric measure spaces
- Positive solutions to \(\Delta u-Vu+Wu^ p=0\) and its parabolic counterpart in noncompact manifolds.
- Elliptic gradient estimates for a weighted heat equation and applications
- A Harnack inequality for the parabolic Allen-Cahn equation
- Differential Harnack estimates for Fisher's equation
- Differential Harnack estimates for a nonlinear heat equation
- Hausdorff dimension of ruptures for solutions of a semilinear elliptic equation with singular nonlinearity
- Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
- Harnack estimate for the Endangered Species Equation
- Differential Harnack estimates for parabolic equations
- SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- Diffusive logistic equations with indefinite weights: population models in disrupted environments
- Recent Progress on Ricci Solitons
- The Yamabe problem
- Global and local behavior of positive solutions of nonlinear elliptic equations
- Harmonic functions on complete riemannian manifolds
- Differential equations on riemannian manifolds and their geometric applications
- Prescribing Scalar Curvatures on the Conformal Classes of Complete Metrics with Negative Curvature
- On the elliptic equation Δ𝑢+𝑘𝑢-𝐾𝑢^{𝑝}=0 on complete Riemannian manifolds and their geometric applications
- Remark about scalar curvature and Riemannian submersions
- Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds