, Volume 36, Issue 3-4, pp 225-247

On solving certain nonlinear partial differential equations by accretive operator methods

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Abstract

We use similar functional analytic methods to solve (a) a fully nonlinear second order elliptic equation, (b) a Hamilton-Jacobi equation, and (c) a functional/partial differential equation from plasma physics. The technique in each case is to approximate by the solutions of simpler problems, and then to pass to limits using a modification of G. Minty’s device to the spaceL .

Alfred P. Sloan fellow 1979–1981.
Supported in part by NSF grant MCS 77-01952.