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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
Article

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 .

Keywords

Maximum Principle Banach Lattice Nonlinear Partial Differential Equation Accretive Operator Approximate Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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