58-XX |
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Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 53Cxx] {For nonlinear operators, see 47Hxx; for geometric integration theory, see 49Q15} |
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58Jxx |
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Partial differential equations on manifolds; differential operators [See also\newline 32Wxx, 35-XX, 53Cxx] |
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58J05 |
Elliptic equations on manifolds, general theory [See also 35Jxx] |
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58J10 |
Differential complexes [See also 35Nxx]; elliptic complexes |
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58J15 |
Relations of PDEs on manifolds with hyperfunctions |
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58J20 |
Index theory and related fixed-point theorems on manifolds [See also 19K56, 46L80] |
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58J22 |
Exotic index theories on manifolds [See also 19K56, 46L05, 46L10, 46L80, 46M20] |
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58J26 |
Elliptic genera |
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58J28 |
Eta-invariants, Chern-Simons invariants |
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58J30 |
Spectral flows |
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58J32 |
Boundary value problems on manifolds |
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58J35 |
Heat and other parabolic equation methods for PDEs on manifolds |
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58J37 |
Perturbations of PDEs on manifolds; asymptotics |
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58J40 |
Pseudodifferential and Fourier integral operators on manifolds [See also 35Sxx] |
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58J42 |
Noncommutative global analysis, noncommutative residues |
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58J45 |
Hyperbolic equations on manifolds [See also 35Lxx] |
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58J47 |
Propagation of singularities; initial value problems on manifolds |
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58J50 |
Spectral problems; spectral geometry; scattering theory on manifolds [See also 35Pxx] |
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58J51 |
Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity |
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58J52 |
Determinants and determinant bundles, analytic torsion |
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58J53 |
Isospectrality |
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58J55 |
Bifurcation theory for PDEs on manifolds [See also 35B32] |
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58J60 |
Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) |
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58J65 |
Diffusion processes and stochastic analysis on manifolds [See also 35R60, 60H10, 60J60] |
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58J70 |
Invariance and symmetry properties for PDEs on manifolds [See also 35A30] |
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58J72 |
Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds [See also 35A22] |
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58J90 |
Applications of PDEs on manifolds |
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58J99 |
None of the above, but in this section |