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  • 58-XX Global analysis, analysis on manifolds
  • 58Jxx Partial differential equations on manifolds; differential operators
  • 58J35 Heat and other parabolic equation methods

58Jxx Partial differential equations on manifolds; differential operators

  • 58J05 Elliptic equations on manifolds, general theory
  • 58J10 Differential complexes ; elliptic complexes
  • 58J15 Relations with hyperfunctions
  • 58J20 Index theory and related fixed point theorems
  • 58J22 Exotic index theories
  • 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
  • 58J42 Noncommutative global analysis, noncommutative residues
  • 58J45 Hyperbolic equations
  • 58J47 Propagation of singularities; initial value problems
  • 58J50 Spectral problems; spectral geometry; scattering theory
  • 58J51 Relations between spectral theory and ergodic theory, e.g. quantum unique ergodicity
  • 58J52 Determinants and determinant bundles, analytic torsion
  • 58J53 Isospectrality
  • 58J55 Bifurcation
  • 58J60 Relations with special manifold structures (Riemannian, Finsler, etc.)
  • 58J65 Diffusion processes and stochastic analysis on manifolds
  • 58J70 Invariance and symmetry properties
  • 58J72 Correspondences and other transformation methods (e.g. Lie-Bäcklund)
  • 58J90 Applications
  • 58J99 None of the above, but in this section
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Согласованные скобки Пуассона для лаксовых уравнений и классические 𝔯 -матрицы

А.Г. Рейман, М.А. Семенов-Тян-Шанский (1989)

Zapiski naucnych seminarov Leningradskogo

Уравнение теплопроводности на некомпактных римановых многообразиях

A.A. Григорьян (1991)

Matematiceskij sbornik

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