58Gxx Partial differential equations on manifolds; differential operators

• 58G03 Elliptic equations on manifolds, general theory
• 58G05 Differential complexes, See also {35Nxx}; elliptic complexes
• 58G07 Relations with hyperfunctions
• 58G10 Index theory and related fixed point theorems, See Also {19K56, 46L80}
• 58G11 Heat and other parabolic equation methods
• 58G12 Exotic index theories, See also {19K56, 46L05, 46L10, 46L80, 46M20}
• 58G15 Pseudodifferential and Fourier integral operators on manifolds, See also {35Sxx}
• 58G16 Hyperbolic equations
• 58G17 Propagation of singularities; initial value problems
• 58G18 Perturbations; asymptotics
• 58G20 Boundary value problems on manifolds
• 58G25 Spectral problems; spectral geometry; scattering theory, See also {35Pxx}
• 58G26 Determinants and determinant bundles
• 58G28 Bifurcations, See also {35B32}
• 58G30 Relations with special manifold structures (Riemannian, Finsler, etc.)
• 58G32 Diffusion processes and stochastic analysis on manifolds
• 58G35 Invariance and symmetry properties, See also {35A30}
• 58G37 Correspondences and other transformation methods (e.g. Lie-Backlund), See also {35A22}
• 58G40 Applications
• 58G99 None of the above but in this section