A new approach to pointwise heat kernel upper bounds on doubling metric measure spaces
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Publication:481688
DOI10.1016/j.aim.2014.08.014zbMath1304.35314arXiv1311.0367OpenAlexW2963214639MaRDI QIDQ481688
Salahaddine Boutayeb, Thierry Coulhon, Adam S. Sikora
Publication date: 12 December 2014
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.0367
Dirichlet formsGagliardo-Nirenberg inequalitiesDavies-Gaffney estimatesassociated wave equationNash inequalities
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Cites Work
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- Algebra properties for Sobolev spaces -- applications to semilinear PDEs on manifolds
- Restriction and spectral multiplier theorems on asymptotically conic manifolds
- Two-sided estimates of heat kernels on metric measure spaces
- Weighted Nash inequalities
- Spectral distribution and \(L^{2}\)-isoperimetric profile of Laplace operators on groups
- Gaussian upper bounds for the heat kernel on arbitrary Riemannian manifolds
- Uniformly elliptic operators on Riemannian manifolds
- Small-time asymptotic estimates in local Dirichlet spaces
- On the parabolic kernel of the Schrödinger operator
- Upper bounds for symmetric Markov transition functions
- \(L^ p\) norms of non-critical Schrödinger semigroups
- Gagliardo-Nirenberg inequalities for semigroups of operators and applications
- Domination of semigroups and generalization of Kato's inequality
- Random walks on graphs with regular volume growth
- Heat kernel upper bounds on a complete non-compact manifold
- Dirichlet forms and symmetric Markov processes
- On-diagonal lower bounds for heat kernels and Markov chains
- Small-time Gaussian behavior of symmetric diffusion semigroups
- Riesz transform, Gaussian bounds and the method of wave equation
- Ultracontractivity and Nash type inequalities
- Sobolev inequalities on homogeneous spaces
- Analysis on local Dirichlet spaces. II: Upper Gaussian estimates for the fundamental solutions of parabolic equations
- Riesz transforms of Schrödinger operators on manifolds
- A Gaussian estimate for the heat kernel on differential forms and application to the Riesz transform
- Large time behavior of heat kernels on forms
- THE HEAT EQUATION ON NONCOMPACT RIEMANNIAN MANIFOLDS
- Conservation and invariance properties of submarkovian semigroups
- Sobolev Inequalities in Familiar and Unfamiliar Settings
- The local regularity of solutions of degenerate elliptic equations
- Harmonic Analysis and Ultracontractivity
- Analysis on local Dirichlet spaces. I. Recurrence, conservativeness and Lp-Liouville properties.
- Inégalités de Sobolev-Orlicz non-uniformes
- Local Nash Inequality and Inhomogeneity of Heat Kernels
- Sobolev inequalities in disguise
- Second-order operators with degenerate coefficients
- Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem
- On the relation between elliptic and parabolic Harnack inequalities