Query regarding classification of pde

[ayan849]

In my research work, I recently have come across a
system of three linear first order pde's whose characteristic polynomial has one
real and two complex conjugate zeros. I have searched the available
resources and could nowhere find out which category
(elliptic/hyperbolic/parabolic) it falls in. I need to analyze it
qualitatively, though a numerical solution can easily be found out.
It would be of great help for me if anybody kindly let me know possible
references where I could find out pdes of this type.

 

[brhmechanic]

Have you tried Wolfram Alpha? I know that it's a pretty common site for most people on this site, but it would certainly give you some ideas.

I hope this helps.