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

35K52 Initial-boundary value problems for higher-order parabolic systems

35K60 Nonlinear initial value problems for linear parabolic equations

35K61 Nonlinear initial-boundary value problems for nonlinear parabolic equations

35K70 Ultraparabolic equations, pseudoparabolic equations, etc.

35K85 Linear parabolic unilateral problems and linear parabolic variational inequalities [See also <a href="#code:35R35">35R35</a>, <a href="#code:49J40">49J40</a>]

35K86 Nonlinear parabolic unilateral problems and nonlinear parabolic variational inequalities [See also <a href="#code:35R35">35R35</a>, <a href="#code:49J40">49J40</a>]

35K87 Systems of parabolic variational inequalities  [See also <a href="#code:35R35">35R35</a>, <a href="#code:49J40">49J40</a>]

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

35K99 None of the above, but in this section

35Lxx Hyperbolic equations and systems [See also <a href="#code:58J45">58J45</a>]

35L03 Initial value problems for first-order hyperbolic equations

35L04 Initial-boundary value problems for first-order hyperbolic equations

35L15 Initial value problems for second-order hyperbolic equations

35L20 Initial-boundary value problems for second-order hyperbolic equations

35L30 Initial value problems for higher-order hyperbolic equations

35L35 Initial-boundary value problems for higher-order hyperbolic equations

35L45 Initial value problems for first-order hyperbolic systems

35L50 Initial-boundary value problems for first-order hyperbolic systems

35L52 Initial value problems for second-order hyperbolic systems

35L53 Initial-boundary value problems for second-order hyperbolic systems

35L56 Initial value problems for higher-order hyperbolic systems