Problems Solved and Unsolved Concerning Linear and Nonlinear Partial Differential Equations (Classic Reprint) - Softcover

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Excerpt from Problems Solved and Unsolved Concerning Linear and Nonlinear Partial Differential Equations

Hausdorff measure of dimension 8. Mandelbrot has raised the question of what the Hausdorff dimension of the possible singularities of weak solutions is in space and time. The -first results on this important question were obtained by V. Scheffer the latest word is the following theorem of Caffarelli, Kohn and Nirenberg [5] The one dimensional Hausdorff measure of the set of singularities of a suitable weak solution in x,t-space is zero.

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