About: Partial differential equations on manifolds; differential operators

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Attributs	Valeurs
type	Concept
rdfs:seeAlso	Differential operators in several variables Partial differential equations Global differential geometry
skos:inScheme	MSC 2010
broader concept	Global analysis, analysis on manifolds
narrower concept	Elliptic equations on manifolds, general theory Differential complexes ; elliptic complexes Relations with hyperfunctions Index theory and related fixed point theorems Exotic index theories Elliptic genera Eta-invariants, Chern-Simons invariants Spectral flows Boundary value problems on manifolds Heat and other parabolic equation methods Perturbations; asymptotics Pseudodifferential and Fourier integral operators on manifolds Noncommutative global analysis, noncommutative residues Hyperbolic equations Propagation of singularities; initial value problems Spectral problems; spectral geometry; scattering theory Relations between spectral theory and ergodic theory, e.g. quantum unique ergodicity Determinants and determinant bundles, analytic torsion Isospectrality Bifurcation Relations with special manifold structures (Riemannian, Finsler, etc.) Diffusion processes and stochastic analysis on manifolds Invariance and symmetry properties Correspondences and other transformation methods (e.g. Lie-BÃ¤cklund) Applications None of the above, but in MSC2010 section 58Jxx
skos:prefLabel	Equazioni alle derivate parziali su varietÃ¡ Partial differential equations on manifolds; differential operators 流形上的偏微分方程; 微分算子
skos:exactMatch	http://msc2010.org/resources/MSC/2000/58Jxx
skos:altLabel	流形上的偏微分方程; 微分算子[参见32Wxx, 35-XX, 53Cxx] Partial differential equations on manifolds; differential operators [See also 32Wxx, 35-XX, 53Cxx] Equazioni alle derivate parziali su varietÃ¡ [Vedi anche 35-XX]
http://msc2010.org...0/msc2010#seeAlso	Differential operators in several variables Partial differential equations Global differential geometry
skos:notation	58Jxx
skos:note	See also 32Wxx, 35-XX, 53Cxx.
skos:semanticRelation	Differential operators in several variables Partial differential equations Global differential geometry
is rdfs:seeAlso of	Partial differential equations on manifolds Miscellaneous topics Dynamical systems and ergodic theory Partial differential operators (should also be assigned at least one other classification number in section 47) Partial differential operators Pseudodifferential operators Integral, integro-differential, and pseudodifferential operators
is broader concept of	Elliptic equations on manifolds, general theory Differential complexes ; elliptic complexes Relations with hyperfunctions Index theory and related fixed point theorems Exotic index theories Elliptic genera Eta-invariants, Chern-Simons invariants Spectral flows Boundary value problems on manifolds Heat and other parabolic equation methods Perturbations; asymptotics Pseudodifferential and Fourier integral operators on manifolds Noncommutative global analysis, noncommutative residues Hyperbolic equations Propagation of singularities; initial value problems Spectral problems; spectral geometry; scattering theory Relations between spectral theory and ergodic theory, e.g. quantum unique ergodicity Determinants and determinant bundles, analytic torsion Isospectrality Bifurcation Relations with special manifold structures (Riemannian, Finsler, etc.) Diffusion processes and stochastic analysis on manifolds Invariance and symmetry properties Correspondences and other transformation methods (e.g. Lie-BÃ¤cklund) Applications None of the above, but in MSC2010 section 58Jxx
is narrower concept of	Global analysis, analysis on manifolds
is http://msc2010.org...msc2010#forTarget of	http://msc2010.org/resources/MSC/2010/35Rxx-to-58Jxx-seeFor
is http://msc2010.org...0/msc2010#seeAlso of	Partial differential equations on manifolds Dynamical systems and ergodic theory Partial differential operators (should also be assigned at least one other classification number in section 47) Partial differential operators Pseudodifferential operators Integral, integro-differential, and pseudodifferential operators
is http://msc2010.org...#seeConditionally of	Miscellaneous topics
is skos:semanticRelation of	Partial differential equations on manifolds Miscellaneous topics Dynamical systems and ergodic theory Partial differential operators (should also be assigned at least one other classification number in section 47) Partial differential operators Pseudodifferential operators Integral, integro-differential, and pseudodifferential operators

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