Sequences of Laplacian cut-off functions
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Publication:254248
DOI10.1007/s12220-014-9543-9zbMath1336.53054arXiv1401.4036OpenAlexW2049689182MaRDI QIDQ254248
Publication date: 8 March 2016
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.4036
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Diffusion processes and stochastic analysis on manifolds (58J65) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (18)
On a positivity preservation property for Schrödinger operators on Riemannian manifolds ⋮ Self-adjointness, \(m\)-accretivity, and separability for perturbations of Laplacian and bi-Laplacian on Riemannian manifolds ⋮ Generalized Ornstein-Uhlenbeck semigroups in weighted \(L^p\)-spaces on Riemannian manifolds ⋮ A triviality result for semilinear parabolic equations ⋮ Neumann eigenvalues of the biharmonic operator on domains: geometric bounds and related results ⋮ Covariant Riesz transform on differential forms for \(1 < p \leq 2\) ⋮ Some functional properties on Cartan-Hadamard manifolds of very negative curvature ⋮ The \(L^{\infty }\)-positivity preserving property and stochastic completeness ⋮ Some characterizations of Bach solitons via Ricci curvature ⋮ Laplacian cut-offs, porous and fast diffusion on manifolds and other applications ⋮ Extremals of log Sobolev inequality on non-compact manifolds and Ricci soliton structures ⋮ \(L^{p}\)-interpolation inequalities and global Sobolev regularity results (with an appendix by Ognjen Milatović) ⋮ The \(L^p\)-Calderón-Zygmund inequality on non-compact manifolds of positive curvature ⋮ Higher order distance-like functions and Sobolev spaces ⋮ Heat flow regularity, Bismut-Elworthy-Li's derivative formula, and pathwise couplings on Riemannian manifolds with Kato bounded Ricci curvature ⋮ Asymptotics of finite energy monopoles on AC 3-manifolds ⋮ Essential self-adjointness for covariant tri-harmonic operators on manifolds and the separation problem ⋮ Essential self-adjointness of perturbed biharmonic operators via conformally transformed metrics
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