Mathematical Sciences Classification System

35Kxx - Parabolic equations and systems
[See also 35Bxx, 35Dxx, 35R30, 35R35, 58J35]

  • 19
    35K05
    Heat equation
  • 6
    35K08
    Heat kernel
  • 7
    35K10
    Second-order parabolic equations
  • 5
    35K15
    Initial value problems for second-order parabolic equations
  • 10
    35K20
    Initial-boundary value problems for second-order parabolic equations
  • 1
    35K25
    Higher-order parabolic equations
  • 35K30
    Initial value problems for higher-order parabolic equations
  • 1
    35K35
    Initial-boundary value problems for higher-order parabolic equations
  • 5
    35K40
    Second-order parabolic systems
  • 35K41
    Higher-order parabolic systems
  • 35K45
    Initial value problems for second-order parabolic systems
  • 35K46
    Initial value problems for higher-order parabolic systems
  • 2
    35K50
    Boundary value problems for parabolic systems
  • 2
    35K51
    Initial-boundary value problems for second-order parabolic systems
  • 35K52
    Initial-boundary value problems for higher-order parabolic systems
  • 31
    35K55
    Nonlinear parabolic equations
  • 23
    35K57
    Reaction-diffusion equations
  • 4
    35K58
    Semilinear parabolic equations
  • 5
    35K59
    Quasilinear parabolic equations
  • 1
    35K60
    Nonlinear initial value problems for linear parabolic equations
  • 1
    35K61
    Nonlinear initial-boundary value problems for nonlinear parabolic equations
  • 12
    35K65
    Degenerate parabolic equations
  • 1
    35K67
    Singular parabolic equations
  • 35K70
    Ultraparabolic equations, pseudoparabolic equations, etc.
  • 1
    35K85
    Linear parabolic unilateral problems and linear parabolic variational inequalities [See also 35R35, 49J40]
  • 1
    35K86
    Nonlinear parabolic unilateral problems and nonlinear parabolic variational inequalities [See also 35R35, 49J40]
  • 35K87
    Systems of parabolic variational inequalities [See also 35R35, 49J40]
  • 8
    35K90
    Abstract parabolic equations
  • 1
    35K91
    Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian
  • 35K92
    Quasilinear parabolic equations with $p$-Laplacian
  • 35K93
    Quasilinear parabolic equations with mean curvature operator
  • 35K96
    Parabolic Monge-Ampère equations
  • 35K99
    None of the above, but in this section

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