Underdetermined Systems of Partial Differential Equations
Physics and Astronomy
This paper examines underdetermined systems of partial differential equations in which the independent variables may be classical c-numbers or even quantum operators. One can view an underdetermined system as expressing the kinematic constraints on a set of dynamical variables that generate a Lie algebra. The arbitrariness in the general solution reflects the freedom to specify the dynamics of such a system. (C) 2000 American Institute of Physics. [S0022-2488(00)02009-0].
Journal of Mathematical Physics
Bender, C. M.,
Dunne, G. V.,
Mead, L. R.
(2000). Underdetermined Systems of Partial Differential Equations. Journal of Mathematical Physics, 41(9), 6388-6398.
Available at: http://aquila.usm.edu/fac_pubs/4109