A Mini-course on EllipticâHyperbolic Equations - ICMS
A Mini-course on EllipticâHyperbolic Equations - ICMS
A Mini-course on EllipticâHyperbolic Equations - ICMS
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This map is easy to understand as an inversi<strong>on</strong> of the differentialformsdp = p x dx + p y dyanddq = q x dx + q y dy.Written in matrix form, this is the system( ) ( ) ( dp px p=y dxdq q x q y dy),which has the inverse( ) dx= 1 dy Jprovided J is n<strong>on</strong>vanishing.−q x p x dq(qy −p y) ( dp)