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I am looking for a good book on PDEs. By good, I mean geometrically intuitive. Something like H M Schey's book on vector calculus.

I know a bit about solving PDEs, I know they are elliptic, hyperbolic or parabolic, characteristic equation defines the type & thats just about it. What I am trying to understand is, what is PDE when it is elliptic or hyperbolic or parabolic. How does it behave geometrically. For example, for a hyperbolic equation, characteristic equation defines a curve or a surface or something across which functions do not relate.

Right now, I have this book. I heard text by Arnold Vladamir & I G Petrovsky are good. Reviews?

Thanks

Ankit