PDE canonical forms

zeta · February 15th, 2006, 1:38 pm

Could somebody point me in the direction of a reference for reducing PDE's of arbitrary dimension to one of the canonical forms (eg., parabolic, hyperbolic etc) I know it's a matrix technique and I know it's in smirnov's 1966 book 'cause I've seen it once but some bum's checked it out of the library. Otherwise could you sketch me the details here if it's not too taxing on the Latex skills

kusa · February 20th, 2006, 1:23 am

See chapter One ofTikhonov, A. N Partial differential equations of mathematical physics [by] A. N. Tychonov and A. A. Samarski. Translated by S. Radding San Francisco, Holden-Day, 1964

N · February 20th, 2006, 12:09 pm

QuoteOriginally posted by: zetaCould somebody point me in the direction of a reference for reducing PDE's of arbitrary dimension to one of the canonical forms (eg., parabolic, hyperbolic etc) I know it's a matrix technique and I know it's in smirnov's 1966 book 'cause I've seen it once but some bum's checked it out of the library. Otherwise could you sketch me the details here if it's not too taxing on the Latex skills z,He uses a simple rotation in state space (Riemannian).z

zeta · February 20th, 2006, 4:47 pm

Thanks guys!