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Journal of the London Mathematical Society 1982 s2-25(2):332-346; doi:10.1112/jlms/s2-25.2.332
© 1982 by London Mathematical Society
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© Oxford University Press

Weak Convergence Theorems for Nonlinear Partial Differential Equations of First and Second Order

John M. Ball and Lawrence C. Evans

Department of Mathematics, Heriot-Watt University Edinburgh EH 14 4AS
Department of Mathematics, University of Maryland College Park, Maryland 20742, U.S.A.

We prove under various fairly weak assumptions that if a sequence of functions un converges to a function u, and if each un solves some appropriate fully nonlinear partial differential equation, then u solves the limit equation.


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