Mathematical Sciences Classification System

35Axx - General topics

  • 35A01
    Existence problems: global existence, local existence, non-existence
  • 35A02
    Uniqueness problems: global uniqueness, local uniqueness, non-uniqueness
  • 35A05
    General existence and uniqueness theorems
  • 35A07
    Local existence and uniqueness theorems
    [See also 35Hxx, 35Sxx]
  • 35A08
    Fundamental solutions
  • 35A09
    Classical solutions
  • 35A10
    Cauchy-Kovalevskaya theorems
  • 35A15
    Variational methods
  • 35A16
    Topological and monotonicity methods
  • 35A17
    Parametrices
  • 35A18
    Wave front sets
  • 35A20
    Analytic methods, singularities
  • 35A21
    Propagation of singularities
  • 35A22
    Transform methods (e.g. integral transforms)
  • 35A23
    Inequalities involving derivatives and differential and integral operators, inequalities for integrals
  • 35A24
    Methods of ordinary differential equations
  • 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

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