On the validity of the Picard algorithm for nonlinear parabolic equations
Published online by Cambridge University Press: 12 July 2007
Abstract
We discuss some ill-posedness results for solutions arising from the Picard iterations algorithm (i.e. the Banach fixed-point theorem) in the case of the nonlinear heat equation, the viscous Hamilton–Jacobi equation, the convection–diffusion equation and the incompressible Navier–Stokes system.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 5 , October 2005 , pp. 947 - 958
- Copyright
- Copyright © Royal Society of Edinburgh 2005
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