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

- 35K05 Heat equation
- 35K08 Heat kernel
- 35K10 Second-order parabolic equations (1)
- 35K15 Initial value problems for second-order parabolic equations
- 35K20 Initial-boundary value problems for second-order parabolic equations (3)
- 35K25 Higher-order parabolic equations
- 35K30 Initial value problems for higher-order parabolic equations
- 35K35 Initial-boundary value problems for higher-order parabolic equations
- 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
- 35K51 Initial-boundary value problems for second-order parabolic systems (2)
- 35K52 Initial-boundary value problems for higher-order parabolic systems
- 35K55 Nonlinear parabolic equations (3)
- 35K57 Reaction-diffusion equations (7)
- 35K58 Semilinear parabolic equations
- 35K59 Quasilinear parabolic equations (2)
- 35K60 Nonlinear initial value problems for linear parabolic equations
- 35K61 Nonlinear initial-boundary value problems for nonlinear parabolic equations
- 35K65 Degenerate parabolic equations (3)
- 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, 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