David Gilbarg (17 September 1918, Boston, Massachusetts – 20 April 2001, Palo Alto, California) was an American mathematician, and a professor emeritus at Stanford University.Gilbarg was co-author, together with his student Neil Trudinger, of the book Elliptic Partial Differential Equations of Second Order. Besides Trudinger, Gilbarg's doctoral students include Jerald Ericksen and James Serrin.
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