Israel Journal of Mathematics

, Volume 36, Issue 3–4, pp 225–247 | Cite as

On solving certain nonlinear partial differential equations by accretive operator methods

  • Lawrence C. Evans


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 .


Maximum Principle Banach Lattice Nonlinear Partial Differential Equation Accretive Operator Approximate Problem 
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Copyright information

© Hebrew University 1980

Authors and Affiliations

  • Lawrence C. Evans
    • 1
  1. 1.Department of MathematicsUniversity of KentuckyLexingtonUSA

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