58Jxx Partial differential equations on manifolds; differential operators [See also 32Wxx, 35-XX, 53Cxx]
- 58J05 Elliptic equations on manifolds, general theory [See also 35-XX]
- 58J10 Differential complexes [See also 35Nxx]; elliptic complexes
- 58J15 Relations with hyperfunctions
- 58J20 Index theory and related fixed point theorems [See also 19K56, 46L80]
- 58J22 Exotic index theories [See also 19K56, 46L05, 46L10, 46L80, 46M20]
- 58J26 Elliptic genera
- 58J28 Eta-invariants, Chern-Simons invariants
- 58J30 Spectral flows
- 58J32 Boundary value problems on manifolds
- 58J35 Heat and other parabolic equation methods
- 58J37 Perturbations; asymptotics
- 58J40 Pseudodifferential and Fourier integral operators on manifolds [See also 35Sxx]
- 58J42 Noncommutative global analysis, noncommutative residues
- 58J45 Hyperbolic equations [See also 35Lxx]
- 58J47 Propagation of singularities; initial value problems
- 58J50 Spectral problems; spectral geometry; scattering theory [See also 35Pxx]
- 58J51 Relations between spectral theory and ergodic theory, e.g. quantum unique ergodicity
- 58J52 Determinants and determinant bundles, analytic torsion
- 58J53 Isospectrality
- 58J55 Bifurcation [See also 35B32]
- 58J60 Relations with special manifold structures (Riemannian, Finsler, etc.)
- 58J65 Diffusion processes and stochastic analysis on manifolds [See also 35R60, 60H10, 60J60] (2)
- 58J70 Invariance and symmetry properties [See also 35A30] (2)
- 58J72 Correspondences and other transformation methods (e.g. Lie- Bäcklund) [See also 35A22] (2)
- 58J90 Applications
- 58J99 None of the above, but in this section