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Mathematical Sciences Classification System

35-XX - Partial differential equations

• 6
  35-00
  General reference works (handbooks, dictionaries, bibliographies, etc.)
• 161
  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)
• 504
  35-06
  Proceedings, conferences, collections, etc.
• 13
  (+139)
  35Axx
  General topics
• 94
  (+194)
  35Bxx
  Qualitative properties of solutions
• 8
  (+25)
  35Cxx
  Representations of solutions
• 25
  (+21)
  35Dxx
  Generalized solutions
• 3
  (+2)
  35Exx
  Equations and systems with constant coefficients
  [See also 35N05]
• 11
  (+20)
  35Fxx
  General first-order equations and systems
• 11
  (+21)
  35Gxx
  General higher-order equations and systems
• 6
  (+13)
  35Hxx
  Close-to-elliptic equations and systems
• 174
  (+279)
  35Jxx
  Elliptic equations and systems
  [See also 58J10, 58J20]
• 133
  (+149)
  35Kxx
  Parabolic equations and systems
  [See also 35Bxx, 35Dxx, 35R30, 35R35, 58J35]
• 94
  (+133)
  35Lxx
  Hyperbolic equations and systems
  [See also 58J45]
• 4
  (+12)
  35Mxx
  Equations and systems of special type (mixed, composite, etc.)
• 2
  (+6)
  35Nxx
  Overdetermined systems
  [See also 58Hxx, 58J10, 58J15]
• 78
  (+75)
  35Pxx
  Spectral theory and eigenvalue problems
  [See also 47Axx, 47Bxx, 47F05]
• 180
  (+399)
  35Qxx
  Equations of mathematical physics and other areas of application
  [See also 35J05, 35J10, 35K05, 35L05]
• 6
  (+252)
  35Rxx
  Miscellaneous topics
  {For equations on manifolds, see 58Jxx; for manifolds of solutions, see 58Bxx; for stochastic PDE, see also 60H15}
• 56
  (+46)
  35Sxx
  Pseudodifferential operators and other generalizations of partial differential operators
  [See also 47G30, 58J40]