On the operator of symmetric differentiation on a compact Riemannian manifold with boundary

DOI10.1007/BF00253327zbMath0457.53020WikidataQ115395121 ScholiaQ115395121MaRDI QIDQ1151150

S. H. Smith

Publication date: 1980

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

elasticity theorydecomposition of tensor fieldsSobolev spaces of sections

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (3)

On the compatibility equations of nonlinear and linear elasticity in the presence of boundary conditions ⋮ A boundary value problem related to the Ginzburg-Landau model ⋮ Hilbert complexes of nonlinear elasticity

Cites Work

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• Problèmes aux limites non homogènes. II, III
• Problem of compatibility and orthogonal decomposition of second-order symmetric tensors in a compact Riemannian manifold with boundary
• Remarks on the Euler equation
• Some decompositions of the space of symmetric tensors on a Riemannian manifolds
• Remarks on strongly elliptic partial differential equations
• A converse to the virtual work theorem for deformable solids
• Non‐coercive boundary value problems

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