MultiDimensional Partial Differential Equations.
Dear ALL,
How do I find whether a multidimesional partial differential equation is hyperbolic,elliptic or parabolic. There are more than one jacobians in the place. Can anyone sugggest any theory reference for the same. I will appreciate the help. Regards, Aditya 
Re: MultiDimensional Partial Differential Equation
Look for the existence of wavelike solutions.
Hyperbolic: wavelike solutions exist Parabolic: Damped wavelike solutions exist Elliptic: No wavelike solutions Substitute the ansatz exp[i(k ∙ x  ω t)] into the PDE and investigate the nature of ω. Here k and x are ndimensional vectors and k ∙ x is the dot product. 
Re: MultiDimensional Partial Differential Equation
Try looking in Courant and Hilbert (volume 2) or "Partial differential equations" by Garabedian.

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