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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
• 32
  35K55
  Nonlinear parabolic equations
• 23
  35K57
  Reaction-diffusion equations
• 4
  35K58
  Semilinear parabolic equations
• 6
  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