35Rxx Miscellaneous topics (For equations on manifolds, see 58Jxx; for manifolds of solutions, see 58Bxx; for stochastic PDE, see also 60H15)
 35R01 Partial differential equations on manifolds [See also 32Wxx, 53Cxx, 58Jxx]
 35R02 Partial differential equations on graphs and networks (ramified or polygonal spaces)
 35R03 Partial differential equations on Heisenberg groups, Lie groups, Carnot groups, etc.

35R05 Partial differential equations with discontinuous coefficients or data
(1)
 35R06 Partial differential equations with measure
 35R09 Integropartial differential equations [See also 45Kxx]
 35R10 Partial functionaldifferential equations
 35R11 Fractional partial differential equations
 35R12 Impulsive partial differential equations
 35R13 Fuzzy partial differential equations
 35R15 Partial differential equations on infinitedimensional (e.g. function) spaces (= PDE in infinitely many variables) [See also 46Gxx, 58D25]
 35R20 Partial operatordifferential equations (i.e., PDE on finitedimensional spaces for abstract space valued functions) [See also 34Gxx, 47A50, 47D03, 47D06, 47D09, 47H20, 47Jxx]
 35R25 Improperly posed problems
 35R30 Inverse problems
 35R35 Free boundary problems
 35R37 Moving boundary problems
 35R45 Partial differential inequalities
 35R50 Partial differential equations of infinite order

35R60 Partial differential equations with randomness, stochastic partial differential equations [See also 60H15]
(2)
 35R70 Partial differential equations with multivalued righthand sides
 35R99 None of the above, but in this section