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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Paperback. Zustand: New. Print on Demand. This book is a thorough and accessible guide to linear and nonlinear partial differential equations for advanced readers. It offers a comprehensive overview of the latest achievements in the field, including advanced techniques such as the use of trace formulas to link spectral and geometric information. Along with this theoretical foundation, the book also provides a broad discussion of the applications of these equations to other fields such as complex variables and quasiconformal mappings. The depth and rigor of this book make it an indispensable resource for anyone seeking to understand the latest developments in this field and its applications. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781334018015_0
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Paperback. Zustand: Brand New. 38 pages. 9.00x6.00x0.09 inches. This item is printed on demand. Bestandsnummer des Verkäufers zk1334018014
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