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Exterior Differential Systems and the Method of Equivalence |
| May 05, 2008 to May 09, 2008 |
| Organized By: Jeanne Clelland, William F. Shadwick (Chair) and George Wilkens |
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| Return to Workshop Description |
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Second-order type-changing evolution equations with first-order intermediate equations
Friday May 9, 2008
04:00PM - 05:00PM
Speakers:
George Wilkens
Abstract:
Second-order type-changing evolution equations with first-order intermediate equations
Abstract: We present a partial classification for smooth, type-changing symplectic Monge-Ampere partial differential equations (PDEs) that possess an infinite set of first-order intermediate PDEs. The normal forms will be quasi-linear evolution equations whose types change from hyperbolic to either parabolic or to zero. In some cases, intermediate PDEs can be used to establish existence of solutions for ill-posed initial value problems. This is joint work with Marek Kossowski.
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