Some remarks on uniformly regular Riemannian manifolds

DOI10.1002/mana.201400354zbMath1342.53055arXiv1410.8627OpenAlexW2951327048WikidataQ115405891 ScholiaQ115405891MaRDI QIDQ2792251

Gieri Simonett, Yuanzhen Shao, Marcelo M. Disconzi

Publication date: 8 March 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.8627

zbMATH Keywords

non-compact Riemannian manifoldsmanifolds with bounded geometryuniformly regular Riemannian manifolds

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) PDEs on manifolds (35R01)

Related Items (14)

The surface diffusion and the Willmore flow for uniformly regular hypersurfaces ⋮ Analysis on singular spaces: Lie manifolds and operator algebras ⋮ Uniformly Regular and Singular Riemannian Manifolds ⋮ Sobolev spaces and \(\nabla\)-differential operators on manifolds. I: Basic properties and weighted spaces ⋮ On potential wells to a semilinear hyperbolic equation with damping and conical singularity ⋮ Continuous maximal regularity on singular manifolds and its applications ⋮ Cauchy problems for parabolic equations in Sobolev-Slobodeckii and Hölder spaces on uniformly regular Riemannian manifolds ⋮ Quantitative null-cobordism ⋮ Linear parabolic equations with strong boundary degeneration ⋮ Chernoff approximations of Feller semigroups in Riemannian manifolds ⋮ The Yamabe flow on incomplete manifolds ⋮ Maximal regularity of parabolic transmission problems ⋮ Analysis and boundary value problems on singular domains: an approach via bounded geometry ⋮ Existence and regularity of invariant graphs for cocycles in bundles: partial hyperbolicity case

Cites Work

• Unnamed Item
• Unnamed Item
• Heat kernel on manifolds with ends
• Deforming the metric on complete Riemannian manifolds
• Equations d'évolution abstraites non linéaires de type parabolique
• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• A family of parameter-dependent diffeomorphisms acting on function spaces over a Riemannian manifold and applications to geometric flows
• Continuous maximal regularity on uniformly regular Riemannian manifolds
• Multiple solutions for semi-linear corner degenerate elliptic equations
• Isometric immersions of Riemannian manifolds
• Nonlinear analytic semiflows
• MAPPING PROPERTIES OF HEAT KERNELS, MAXIMAL REGULARITY, AND SEMI-LINEAR PARABOLIC EQUATIONS ON NONCOMPACT MANIFOLDS
• The Boundedness of Connection Coefficients and their Derivatives
• Nonlinear parabolic problems on manifolds, and a nonexistence result for the noncompact Yamabe problem
• Heat kernels and maximal l^p—l^qestimates for parabolic evolution equations
• Function spaces on singular manifolds
• Complete noncompact Kähler manifolds with positive holomorphic bisectional curvature
• Riemannian geometry and geometric analysis
• Maximal regularity in continuous interpolation spaces and quasilinear parabolic equations

This page was built for publication: Some remarks on uniformly regular Riemannian manifolds