58Jxx

58H | 58 | 58K

Partial differential equations on manifolds; differential operators

[See also 32Wxx, 35-XX, 53Cxx]

58J05Elliptic equations on manifolds, general theory
[See also 35-XX]
58J10Differential complexes
[See also 35Nxx]; elliptic complexes
58J15Relations with hyperfunctions
58J20Index theory and related fixed point theorems
[See also 19K56, 46L80]
58J22Exotic index theories
[See also 19K56, 46L05, 46L10, 46L80, 46M20]
58J26Elliptic genera
58J28Eta-invariants, Chern-Simons invariants
58J30Spectral flows
58J32Boundary value problems on manifolds
58J35Heat and other parabolic equation methods
58J37Perturbations; asymptotics
58J40Pseudodifferential and Fourier integral operators on manifolds
[See also 35Sxx]
58J42Noncommutative global analysis, noncommutative residues
58J45Hyperbolic equations
[See also 35Lxx]
58J47Propagation of singularities; initial value problems
58J50Spectral problems; spectral geometry; scattering theory
[See also 35Pxx]
58J52Determinants and determinant bundles, analytic torsion
58J53Isospectrality
58J55Bifurcation
[See also 35B32]
58J60Relations with special manifold structures (Riemannian, Finsler, etc.)
58J65Diffusion processes and stochastic analysis on manifolds
[See also 35R60, 60H10, 60J60]
58J70Invariance and symmetry properties
[See also 35A30]
58J72Correspondences and other transformation methods (e.g. Lie-Bäcklund)
[See also 35A22]
58J90Applications
58J99None of the above, but in this section