On solving certain nonlinear partial differential equations by accretive operator methods |
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Authors: | Lawrence C. Evans |
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Affiliation: | (1) Department of Mathematics, University of Kentucky, 40506 Lexington, Kentucky, USA |
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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. |
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