On Calabi's strong maximum principle via local semi-Dirichlet forms
From MaRDI portal
Publication:1930867
DOI10.1007/s11118-011-9266-5zbMath1269.31007OpenAlexW2066208052MaRDI QIDQ1930867
Publication date: 14 January 2013
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11118-011-9266-5
Dirichlet forms (31C25) Maximum principles in context of PDEs (35B50) Probabilistic potential theory (60J45)
Related Items (2)
On subharmonicity for symmetric Markov processes ⋮ An elementary proof that walk dimension is greater than two for Brownian motion on Sierpiński carpets
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An extension of E. Hopf's maximum principle with an application to Riemannian geometry
- An elementary proof of the Cheeger-Gromoll splitting theorem
- Differentiability of Lipschitz functions on metric measure spaces
- Diffusion processes and heat kernels on metric spaces
- Maximum principle for viscosity sub solutions and viscosity sub solutions of the Laplacian
- The Riemannian structure of Alexandrov spaces
- The splitting theorem for orbifolds
- Dirichlet forms and symmetric Markov processes
- Modulus and the Poincaré inequality on metric measure spaces
- Convergence of Riemannian manifolds and Laplace operators. I
- A differentiable structure for metric measure spaces
- Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
- Analysis on local Dirichlet spaces. II: Upper Gaussian estimates for the fundamental solutions of parabolic equations
- Analysis on local Dirichlet spaces. III: The parabolic Harnack inequality
- The Poincaré inequality is an open ended condition
- Convergence of Riemannian manifolds and Laplace operators. II
- Stability of parabolic Harnack inequalities on metric measure spaces
- Invariant sets and ergodic decomposition of local semi-Dirichlet forms
- Maximum Principles for Subharmonic Functions Via Local Semi-Dirichlet Forms
- Sobolev met Poincaré
- Poincaré inequality for abstract spaces
- Conservativeness of diffusion processes with drift
- Measurable differentiable structures and the Poincare inequality
- Maximum principles for viscosity subsolutions of some second order linear operators and some consequences
- On a pointwise estimate for parabolic differential equations
- Sobolev spaces, Laplacian, and heat kernel on Alexandrov spaces
- Harmonic functions on metric spaces
This page was built for publication: On Calabi's strong maximum principle via local semi-Dirichlet forms