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Implicit Partial Differential Equations (Hardcover)

by Paolo Marcellini

Total: TK. 1,713

Implicit Partial Differential Equations

Implicit Partial Differential Equations (Hardcover)

Progress in Nonlinear Differential Equations and Their Applications-37

TK. 1,713

বইটি বিদেশি প্রকাশনী বা সাপ্লাইয়ারের নিকট থেকে সংগ্রহ করে আনতে আমাদের ৩০ থেকে ৪০ কর্মদিবস সময় লেগে যেতে পারে।

Book Length

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273 Pages

Edition

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Edition

Publication

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Birkhauser

ISBN

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9780817641214

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২৯-৩০ এপ্রিল চার্জার ফ্যান ও নেকব্যান্ড ফ্রি! এছাড়াও থাকছে ফ্রি শিপিং অফার!*

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Product Specification & Summary

This book is devoted to a large class of partial differential equations and systems which are nonlinear in the highest derivatives. The authors present a new functional analytic method based on the Baire category theorem for handling the existence of almost everywhere solutions of these equations. Comparison with other methods is discussed: essentially that of viscosity solutions, but also briefly that of convex integration. Results obtained by this new method have important applications to the calculus of variations, geometry, nonlinear elasticity, problems of phase transitions and optimal design. The book is divided into four parts. Part I examines first and second order partial differential equations while Part II considers systems. Building on the theory presented, Part III is devoted to applications, including the singular values case, the case of potential wells, and the complex eikonal equation. In Part IV the authors gather some nonclassical Vitali type covering theorems, as well as several fine results on the approximation of Sobolev functions by piecewise affine or polynomial functions. These results have relevance in other contexts, such as numerical analysis. This monograph is intended for advanced graduate students and researchers in nonlinear analysis and its applications. The book is essentially self-contained and contains many mathematical examples derived from applications to the materials sciences.
Title Implicit Partial Differential Equations
Author
Publisher
ISBN 9780817641214
Edition Edition, 1999
Number of Pages 273
Country Germany
Language English

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Implicit Partial Differential Equations