Prospects for a central theory of partial differential equations. (English) Zbl 1090.35011

Neuberger, John W.

Math. Intell. 27, No. 3, 47-55 (2005).

Summary: Three episodes in the history of equation-solving are finding zeros of polynomials, solution of ordinary differential equations, and solutions of partial differential equations. The first two episodes went through a number of phases before reaching a rather satisfactory state. That the third episode might develop similarly is the topic of this note.

MSC:

35A15	Variational methods applied to PDEs
35-02	Research exposition (monographs, survey articles) pertaining to partial differential equations

Keywords:

self-duality of Sobolev spaces; Sobolev gradients

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