\(L^ p\) contractive projections and the heat semigroup for differential forms

DOI10.1016/0022-1236(86)90024-8zbMath0587.58044OpenAlexW1992536052WikidataQ126165707 ScholiaQ126165707MaRDI QIDQ1072198

Robert S. Strichartz

Publication date: 1986

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(86)90024-8

zbMATH Keywords

projection operatorheat semigroup for k-forms

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Differential forms in global analysis (58A10) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (13)

Heat flow on 1-forms under lower Ricci bounds. Functional inequalities, spectral theory, and heat kernel ⋮ Norm-one projections onto subspaces of \(\ell _ p\) ⋮ Riesz transforms for symmetric diffusion operators on complete Riemannian manifolds ⋮ A survey of functional and Lp-dissipativity theory ⋮ Harmonic analysis as spectral theory of Laplacians ⋮ Norm-one projections onto subspaces of finite codimension in \(\ell_ 1\) and \(c_ 0\) ⋮ Riesz transform on manifolds and heat kernel regularity ⋮ Heat equation derivative formulas for vector bundles ⋮ Progress in the Problem of the L p -Contractivity of Semigroups for Partial Differential Operators ⋮ Riesz transforms on forms and \(L^p\)-Hodge decomposition on complete Riemannian manifolds ⋮ Criteria for the \(L^p\)-dissipativity of systems of second order differential equations ⋮ On \(L^p\)-contractivity of semigroups generated by linear partial differential operators ⋮ Criterion for the \(L^p\)-dissipativity of second order differential operators with complex coefficients

Cites Work

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• On curvature and characteristic of homogeneous spaces
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• Analysis of the Laplacian on a complete Riemannian manifold
• Kato's inequality and the spectral distribution of Laplacians on compact Riemannian manifolds
• Opérateur de courbure et laplacien des formes différentielles d'une variété riemannienne
• On sections of some holomorphic families of closed Riemann surfaces
• Essential self-adjointness of powers of generators of hyperbolic equations
• On Riemannian Curvature of Homogeneous Spaces

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