35Kxx Parabolic equations and systems [See also 35Bxx, 35Dxx, 35R30, 35R35, 58J35]
 35K05 Heat equation
 35K08 Heat kernel

35K10 Secondorder parabolic equations
(1)
 35K15 Initial value problems for secondorder parabolic equations

35K20 Initialboundary value problems for secondorder parabolic equations
(1)
 35K25 Higherorder parabolic equations
 35K30 Initial value problems for higherorder parabolic equations
 35K35 Initialboundary value problems for higherorder parabolic equations
 35K40 Secondorder parabolic systems
 35K41 Higherorder parabolic systems
 35K45 Initial value problems for secondorder parabolic systems
 35K46 Initial value problems for higherorder parabolic systems
 35K51 Initialboundary value problems for secondorder parabolic systems
 35K52 Initialboundary value problems for higherorder parabolic systems

35K55 Nonlinear parabolic equations
(3)

35K57 Reactiondiffusion equations
(4)
 35K58 Semilinear parabolic equations
 35K59 Quasilinear parabolic equations
 35K60 Nonlinear initial value problems for linear parabolic equations
 35K61 Nonlinear initialboundary value problems for nonlinear parabolic equations

35K65 Degenerate parabolic equations
(1)
 35K67 Singular parabolic equations
 35K70 Ultraparabolic equations, pseudoparabolic equations, etc.
 35K85 Linear parabolic unilateral problems and linear parabolic variational inequalities [See also 35R35, 49J40]
 35K86 Nonlinear parabolic unilateral problems and nonlinear parabolic variational inequalities [See also 35R35, 49J40]
 35K87 Systems of parabolic variational inequalities [See also 35R35, 49J40]
 35K90 Abstract parabolic equations
 35K91 Semilinear parabolic equations with Laplacian, biLaplacian or poly Laplacian
 35K92 Quasilinear parabolic equations with pLaplacian
 35K93 Quasilinear parabolic equations with mean curvature operator
 35K96 Parabolic MongeAmpère equations
 35K99 None of the above, but in this section