Excerpt from Problems Solved and Unsolved Concerning Linear and Nonlinear Partial Differential Equations
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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Peter D. Lax, PhD, is Professor Emeritus of Mathematics at the Courant Institute of Mathematical Sciences at New York University. Dr. Lax is the recipient of the Abel Prize for 2005 "for his groundbreaking contributions to the theory and application of partial differential equations and to the computation of their solutions." * A student and then colleague of Richard Courant, Fritz John, and K. O. Friedrichs, he is considered one of the world's leading mathematicians. He has had a long and distinguished career in pure and applied mathematics, and with over fifty years of experience in the field, he has made significant contributions to various areas of research, including integratable systems, fluid dynamics, and solitonic physics, as well as mathematical and scientific computing.
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Paperback. Condition: 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. Seller Inventory # 9781334018015_0
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