Problems Solved and Unsolved Concerning Linear and Nonlinear Partial Differential Equations (Classic Reprint) - Brossura
Sinossi
A concise survey of major advances in linear and nonlinear partial differential equations, with practical hints for future work and applications.
This edition introduces broad topics in PDE theory, then surveys two focused areas: linear problems and nonlinear problems. It highlights how modern tools—such as microlocal analysis, trace formulas, and spectral theory—have reshaped our understanding of wave propagation, diffraction, and the behavior of complex systems. The discussion ranges from geometric settings on manifolds to concrete problems in fluid dynamics and conservation laws, offering a snapshot of how ideas from analysis, geometry, and computation come together in PDE research.
- Learn how linear PDEs on manifolds with boundaries have seen significant progress, including wave propagation, diffractive phenomena, and spectral questions.
- See how nonlinear PDEs are approached, from viscous incompressible flows to hyperbolic conservation laws and completely integrable systems.
- Discover the interplay between energy methods, weak solutions, and modern techniques like numerical experimentation and translation representations.
- Get a sense of how non-Euclidean geometry and spectral theory influence PDE behavior, including the Laplace-Beltrami operator on negatively curved spaces.
Ideal for readers of advanced mathematics and mathematical physics who want a clear, broad view of current challenges and methods in PDE research.
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Problems Solved and Unsolved Concerning Linear and Nonlinear Partial
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Paperback. Condizione: 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. Codice articolo 9781334018015_0
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Problems Solved and Unsolved Concerning Linear and Nonlinear Partial Differential Equations Classic Reprint
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Problems Solved and Unsolved Concerning Linear and Nonlinear Partial Differential Equations Classic Reprint
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Problems Solved and Unsolved Concerning Linear and Nonlinear Partial Differential Equations (Classic Reprint)
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Paperback. Condizione: Brand New. 38 pages. 9.00x6.00x0.09 inches. This item is printed on demand. Codice articolo zk1334018014
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