35Kxx Parabolic equations and systems

35K05  Heat equation
35K10  General theory of second-order, parabolic equations
35K15  Initial value problems for second-order, parabolic
               equations
35K20  Boundary value problems for second-order, parabolic
               equations
35K22  Evolution equations (any order in the spatial derivatives),
               See also {58D25}
35K25  General theory of higher-order, parabolic equations
35K30  Initial value problems for higher-order, parabolic
               equations
35K35  Boundary value problems for higher-order, parabolic
               equations
35K40  General theory of parabolic systems of PDE
35K45  Initial value problems for pararabolic systems
35K50  Boundary value problems for parabolic systems
35K55  Nonlinear PDE of parabolic type
35K57  Reaction-diffusion equations
35K60  Nonlinear boundary value problems for linear parabolic PDE;
               boundary value problems for nonlinear parabolic PDE
35K65  Parabolic partial differential equations of degenerate type
35K70  Ultraparabolic, pseudoparabolic PDE, etc.
35K85  Unilateral problems and variational inequalities for
               parabolic PDE, See also {35R35, 49J40}
35K99  None of the above but in this section