Some gradient estimates for nonlinear heat-type equations on smooth metric measure spaces with compact boundary
DOI10.1007/S44198-024-00220-1zbMATH Open1544.58007MaRDI QIDQ6598064
Publication date: 4 September 2024
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
mean curvatureweighted manifoldsgradient estimatesdrifting LaplacianHarnack-type inequalitiesBakry-Émery Ricci tensorLiouville-type theorems
Partial differential inequalities and systems of partial differential inequalities (35R45) A priori estimates in context of PDEs (35B45) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
Cites Work
- Title not available (Why is that?)
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- Eigenvalue estimate and compactness for closed \(f\)-minimal surfaces
- The \(W\)-entropy formula for the Witten Laplacian on manifolds with time dependent metrics and potentials
- Ancient solutions of semilinear heat equations on Riemannian manifolds
- Rigidity of quasi-Einstein metrics
- Extension of Reilly formula with applications to eigenvalue estimates for drifting Laplacians
- Differential Harnack and logarithmic Sobolev inequalities along Ricci-harmonic map flow
- An extension of E. Hopf's maximum principle with an application to Riemannian geometry
- Gradient estimates for a weighted nonlinear elliptic equation and Liouville type theorems
- Séminaire de probabilités XIX (Université de Strasbourg), 1983/84. Proceedings
- Differential Harnack estimates for a nonlinear evolution equation of Allen-Cahn type
- Comparison geometry for the Bakry-Emery Ricci tensor
- Gradient estimates for a simple elliptic equation on complete non-compact Riemannian manifolds
- A Yamabe-type problem on smooth metric measure spaces
- Gradient estimates for the heat equation under the Ricci flow
- On the parabolic kernel of the Schrödinger operator
- Gradient estimates and Harnack inequalities for nonlinear parabolic and nonlinear elliptic equations on Riemannian manifolds
- Generation and propagation of interfaces for reaction-diffusion equations
- A matrix Harnack estimate for the heat equation
- Global heat kernel estimates
- Some geometric properties of the Bakry-Émery-Ricci tensor
- Gradient estimates for the Fisher-KPP equation on Riemannian manifolds
- On Harnack inequalities for Witten Laplacian on Riemannian manifolds with super Ricci flows
- Gradient estimates for some \(f\)-heat equations driven by Lichnerowicz's equation on complete smooth metric measure spaces
- Comparison theorems on smooth metric measure spaces with boundary
- Elliptic gradient estimates and Liouville theorems for a weighted nonlinear parabolic equation
- Li-Yau type and Souplet-Zhang type gradient estimates of a parabolic equation for the \(V\)-Laplacian
- Hamilton-Souplet-Zhang's gradient estimates and Liouville theorems for a nonlinear parabolic equation
- Global solution to the Allen-Cahn equation with singular potentials and dynamic boundary conditions
- A Liouville-type theorem for smooth metric measure spaces
- Gradient estimates for a class of semilinear parabolic equations and their applications
- Sharp gradient estimates on weighted manifolds with compact boundary
- Triviality of bounded solutions and gradient estimates for nonlinear \(f\)-heat equations on complete smooth metric measure spaces
- Gradient estimates for a general type of nonlinear parabolic equations under geometric conditions and related problems
- Elliptic gradient estimates for a nonlinear \(f\)-heat equation on weighted manifolds with evolving metrics and potentials
- Gradient estimates for a nonlinear parabolic equation with Dirichlet boundary condition
- Gradient estimates for weighted harmonic function with Dirichlet boundary condition
- Harnack inequalities for a class of heat flows with nonlinear reaction terms
- Elliptic gradient estimates for a weighted heat equation and applications
- Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
- Ricci curvature for metric-measure spaces via optimal transport
- Differential Harnack estimates for Fisher's equation
- Rigidity of manifolds with boundary under a lower Bakry-Émery Ricci curvature bound
- Gradient estimates for a nonlinear parabolic equation and Liouville theorems
- Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
- The wave of advance of advantageous genes.
- Harnack estimate for the Endangered Species Equation
- SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS
- Recent Progress on Ricci Solitons
- Harmonic functions on complete riemannian manifolds
- Differential equations on riemannian manifolds and their geometric applications
- Neumann Eigenvalue Estimate on a Compact Riemannian Manifold
- Neumann Li-Yau gradient estimate under integral Ricci curvature bounds
- Gradient estimates for the Allen-Cahn equation on Riemannian manifolds
- Analysis and Geometry of Markov Diffusion Operators
- Yau and Souplet-Zhang type gradient estimates on Riemannian manifolds with boundary under Dirichlet boundary condition
- Singularity and decay estimates in superlinear problems via Liouville-type theorems. Part II: Parabolic equations
- Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds
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