Steepest Descent and Time-Stepping for the Numerical Solution of Conservation Equations

This note deals with the use of steepest descent for certain differential equations. Some results are sketched which deal with zeros of a non-negative- valued function ϕ on a real Hilbert space Η defined by ϕ ( x ) = | | F ( x ) | | 2 / 2 ,       x ∈ H https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072683/4382fcd0-4153-46e7-888a-e0b6b9eb509e/content/eq411.tif"/>