Mathematical Sciences Classification System

35-XX - Partial differential equations

  • 6
    35-00
    General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 158
    35-01
    Instructional exposition (textbooks, tutorial papers, etc.)
  • 10
    35-02
    Research exposition (monographs, survey articles)
  • 23
    35-03
    Historical (must also be assigned at least one classification number from Section 01)
  • 7
    35-04
    Explicit machine computation and programs (not the theory of computation or programming)
  • 503
    35-06
    Proceedings, conferences, collections, etc.
  • 13
    (+136)
    General topics
  • 93
    (+191)
    Qualitative properties of solutions
  • 8
    (+25)
    Representations of solutions
  • 25
    (+19)
    Generalized solutions
  • 3
    (+2)
    Equations and systems with constant coefficients
    [See also 35N05]
  • 11
    (+19)
    General first-order equations and systems
  • 11
    (+21)
    General higher-order equations and systems
  • 6
    (+13)
    Close-to-elliptic equations and systems
  • 173
    (+272)
    Elliptic equations and systems
    [See also 58J10, 58J20]
  • 132
    (+147)
    Parabolic equations and systems
    [See also 35Bxx, 35Dxx, 35R30, 35R35, 58J35]
  • 93
    (+133)
    Hyperbolic equations and systems
    [See also 58J45]
  • 4
    (+12)
    Equations and systems of special type (mixed, composite, etc.)
  • 2
    (+6)
    Overdetermined systems
    [See also 58Hxx, 58J10, 58J15]
  • 77
    (+73)
    Spectral theory and eigenvalue problems
    [See also 47Axx, 47Bxx, 47F05]
  • 178
    (+393)
    Equations of mathematical physics and other areas of application
    [See also 35J05, 35J10, 35K05, 35L05]
  • 5
    (+242)
    Miscellaneous topics
    {For equations on manifolds, see 58Jxx; for manifolds of solutions, see 58Bxx; for stochastic PDE, see also 60H15}
  • 56
    (+45)
    Pseudodifferential operators and other generalizations of partial differential operators
    [See also 47G30, 58J40]

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