La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

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35-XX Partial differential equations

• 35-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
• 35-01 Instructional exposition (textbooks, tutorial papers, etc.)
• 35-02 Research exposition (monographs, survey articles)
• 35-03 Historical (must also be assigned at least one classification number from Section 01)
• 35-04 Explicit machine computation and programs (not the theory of computation or programming)
• 35-06 Proceedings, conferences, collections, etc.
• 35-99 Partial differential equations (not classified at a more specific level)
• 35Axx General theory
  • 35A05 General existence and uniqueness theorems
  • 35A07 Local existence and uniqueness theorems [See also 35Hxx, 35Sxx]
  • 35A08 Fundamental solutions
  • 35A10 Cauchy-Kovalevskaya theorems
  • 35A15 Variational methods
  • 35A17 Parametrices [Nouveau code MSC 2000]
    • Code MSC1991 affilié : 35A99
  • 35A18 Wave front sets [Nouveau code MSC 2000]
    • Code MSC1991 affilié : 35A99
  • 35A20 Analytic methods, singularities
  • 35A21 Propagation of singularities [Nouveau code MSC 2000]
    • Codes MSC1991 affiliés : 35A20, 35A21
  • 35A22 Transform methods (e.g. integral transforms)
  • 35A25 Other special methods
  • 35A27 Microlocal methods; methods of sheaf theory and homological algebra in PDE [See also 32C38, 58J15]
  • 35A30 Geometric theory, characteristics, transformations [See also 58J70, 58J72]
  • 35A35 Theoretical approximation to solutions [For numerical analysis, see 65Mxx, 65Nxx]
  • 35A99 None of the above, but in this section
• 35Bxx Qualitative properties of solutions
• 35Cxx Representations of solutions
• 35Dxx Generalized solutions of partial differential equations
• 35Exx Equations and systems with constant coefficients [See also 35N05]
• 35Fxx General first-order equations and systems
• 35Gxx General higher-order equations and systems
• 35Hxx Close-to-elliptic equations
• 35Jxx Partial differential equations of elliptic type [See also 58Jxx, 58J10, 58J20]
• 35Kxx Parabolic equations and systems [See also 58J35]
• 35Lxx Partial differential equations of hyperbolic type [See also 58J45]
• 35Mxx Partial differential equations of special type (mixed, composite, etc.) [For degenerate types, see 35J70, 35K65, 35L80]
• 35Nxx Overdetermined systems [See also 58Hxx, 58Jxx, 58J10, 58J15]
• 35Pxx Spectral theory and eigenvalue problems for partial differential operators [See also 47Axx, 47Bxx, 47F05]
• 35Qxx Equations of mathematical physics and other areas of application [See also 35J05, 35J10, 35K05, 35L05]
• 35Rxx Miscellaneous topics involving partial differential equations [For equations on manifolds, see 58Jxx; for manifolds of solutions, see 58Bxx; for stochastic PDEs, see also 60H15]
• 35Sxx Pseudodifferential operators and other generalizations of partial differential operators [See also 47G30, 58J40]

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