Bilinear Estimates in the Presence of a Large Potential and a Critical NLS in 3D PDF Download
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Author: Fabio Pusateri
Publisher: American Mathematical Society
ISBN: 1470470675
Category : Mathematics
Languages : en
Pages : 120
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Book Description
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Author: Fabio Pusateri
Publisher: American Mathematical Society
ISBN: 1470470675
Category : Mathematics
Languages : en
Pages : 120
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Book Description
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Author: Ermerson Araujo
Publisher: American Mathematical Society
ISBN: 1470471337
Category : Mathematics
Languages : en
Pages : 130
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Book Description
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Author: Alessandro Audrito
Publisher: American Mathematical Society
ISBN: 1470471353
Category : Mathematics
Languages : en
Pages : 130
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Book Description
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Author: Andrew J. Blumberg
Publisher: American Mathematical Society
ISBN: 1470471388
Category : Mathematics
Languages : en
Pages : 114
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Book Description
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Author: Alcides Buss
Publisher: American Mathematical Society
ISBN: 1470471523
Category : Mathematics
Languages : en
Pages : 100
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Author: C. Bleak
Publisher: American Mathematical Society
ISBN: 1470471450
Category : Mathematics
Languages : en
Pages : 108
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Book Description
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Author: Myoungjean Bae
Publisher: American Mathematical Society
ISBN: 1470462702
Category : Mathematics
Languages : en
Pages : 252
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Author: David A. Kopriva
Publisher: Springer Science & Business Media
ISBN: 9048122619
Category : Mathematics
Languages : en
Pages : 397
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Book Description
This book explains how to solve partial differential equations numerically using single and multidomain spectral methods. It shows how only a few fundamental algorithms form the building blocks of any spectral code, even for problems with complex geometries.
Author: Felipe Linares
Publisher: Springer
ISBN: 1493921819
Category : Mathematics
Languages : en
Pages : 308
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Book Description
This textbook introduces the well-posedness theory for initial-value problems of nonlinear, dispersive partial differential equations, with special focus on two key models, the Korteweg–de Vries equation and the nonlinear Schrödinger equation. A concise and self-contained treatment of background material (the Fourier transform, interpolation theory, Sobolev spaces, and the linear Schrödinger equation) prepares the reader to understand the main topics covered: the initial-value problem for the nonlinear Schrödinger equation and the generalized Korteweg–de Vries equation, properties of their solutions, and a survey of general classes of nonlinear dispersive equations of physical and mathematical significance. Each chapter ends with an expert account of recent developments and open problems, as well as exercises. The final chapter gives a detailed exposition of local well-posedness for the nonlinear Schrödinger equation, taking the reader to the forefront of recent research. The second edition of Introduction to Nonlinear Dispersive Equations builds upon the success of the first edition by the addition of updated material on the main topics, an expanded bibliography, and new exercises. Assuming only basic knowledge of complex analysis and integration theory, this book will enable graduate students and researchers to enter this actively developing field.
Author: Lynn Harold Loomis
Publisher: World Scientific Publishing Company
ISBN: 9814583952
Category : Mathematics
Languages : en
Pages : 595
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Book Description
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
