Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations
DOI10.1016/j.na.2019.111722zbMath1436.31033arXiv1908.07895OpenAlexW2996172848WikidataQ126533995 ScholiaQ126533995MaRDI QIDQ2309298
Yu Liu, Pengtao Li, Shaoguang Shi, Ji Zheng Huang
Publication date: 30 March 2020
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.07895
densitiesmetric measure spacescapacitiesspace-time estimatesheat semigroupsfractional dissipative equations
Heat equation (35K05) Groups and semigroups of linear operators (47D03) Potentials and capacities on other spaces (31C15) Potential theory on fractals and metric spaces (31E05)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Poisson semigroup, area function, and the characterization of Hardy space associated to degenerate Schrödinger operators
- \(L^q\)-extensions of \(L^p\)-spaces by fractional diffusion equations
- Lower estimates of heat kernels for non-local Dirichlet forms on metric measure spaces
- \(BMO_L(\mathbb H^n)\) spaces and Carleson measures for Schrödinger operators
- Regularity properties of Schrödinger operators
- Gaussian upper bounds for the heat kernel on arbitrary Riemannian manifolds
- A tracing of the fractional temperature field
- Note on \(H^1\) spaces related to degenerate Schrödinger operators
- Off-diagonal upper estimates for the heat kernel of the Dirichlet forms on metric spaces
- Localized BMO and BLO spaces on RD-spaces and applications to Schrödinger operators
- Strichartz type estimates for fractional heat equations
- On the parabolic kernel of the Schrödinger operator
- Quasiconformal maps in metric spaces with controlled geometry
- \(L^p\) estimates of Schrödinger operators on nilpotent groups
- Differentiability of Lipschitz functions on metric measure spaces
- Two-sided estimates of heat kernels of jump type Dirichlet forms
- BMO spaces related to Schrödinger operators with potentials satisfying a reverse Hölder inequality
- \(L^ p\) estimates for Schrödinger operators with certain potentials
- Orthonormal bases of regular wavelets in spaces of homogeneous type
- Regularity and capacity for the fractional dissipative operator
- Ahlfors type estimates for perimeter measures in Carnot-Carathéodory spaces
- Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below
- Well-posedness of the Cauchy problem for the fractional power dissipative equations
- Morrey-Sobolev spaces on metric measure spaces
- Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
- Comparison of Hardy--Littlewood and dyadic maximal functions on spaces of homogeneous type
- Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
- Geometric Statistics in Turbulence
- Some Function Spaces Relative to Morrey-Campanato Spaces on Metric Spaces
- A T(b) theorem with remarks on analytic capacity and the Cauchy integral
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Heat kernels on metric measure spaces and an application to semilinear elliptic equations
- Fractional kinetic equations: solutions and applications
- Sobolev Spaces on Metric Measure Spaces
- Function theory
- New Sobolev spaces via generalized Poincaré inequalities on metric measure spaces
- On the relation between elliptic and parabolic Harnack inequalities
This page was built for publication: Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations
