Maximal Subellipticity

Author : Brian Street
Publisher : Walter de Gruyter GmbH & Co KG
Page : 874 pages
File Size : 47,6 Mb
Release : 2023-07-04
Category : Mathematics
ISBN : 9783111085944

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Maximal Subellipticity by Brian Street Pdf

Maximally subelliptic partial differential equations (PDEs) are a far-reaching generalization of elliptic PDEs. Elliptic PDEs hold a special place: sharp results are known for general linear and even fully nonlinear elliptic PDEs. Over the past half-century, important results for elliptic PDEs have been generalized to maximally subelliptic PDEs. This text presents this theory and generalizes the sharp, interior regularity theory for general linear and fully nonlinear elliptic PDEs to the maximally subelliptic setting.

Author : Brian Street
Publisher : Walter de Gruyter GmbH & Co KG
Page : 768 pages
File Size : 52,5 Mb
Release : 2023-07-03
Category : Mathematics
ISBN : 9783111085647

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Maximal Subellipticity by Brian Street Pdf

Maximally subelliptic partial differential equations (PDEs) are a far-reaching generalization of elliptic PDEs. Elliptic PDEs hold a special place: sharp results are known for general linear and even fully nonlinear elliptic PDEs. Over the past half-century, important results for elliptic PDEs have been generalized to maximally subelliptic PDEs. This text presents this theory and generalizes the sharp, interior regularity theory for general linear and fully nonlinear elliptic PDEs to the maximally subelliptic setting.

Author : Y. Barkatou
Publisher : American Mathematical Soc.
Page : 208 pages
File Size : 42,5 Mb
Release : 2011
Category : Mathematics
ISBN : 9780821852576

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Geometric Analysis of Several Complex Variables and Related Topics by Y. Barkatou Pdf

Presents current research and future trends in the theory of several complex variables and PDE. Of note are two survey articles, the first presenting recent results on the solvability of complex vector fields with critical points, while the second concerns the Lie group structure of the automorphism groups of CR manifolds.

Author : Brian Street
Publisher : Princeton University Press
Page : 411 pages
File Size : 52,8 Mb
Release : 2014-10-05
Category : Mathematics
ISBN : 9780691162522

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Multi-parameter Singular Integrals. (AM-189), Volume I by Brian Street Pdf

This book develops a new theory of multi-parameter singular integrals associated with Carnot-Carathéodory balls. Brian Street first details the classical theory of Calderón-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Carathéodory geometry, where the main tool is a quantitative version of the classical theorem of Frobenius. Street then gives several examples of multi-parameter singular integrals arising naturally in various problems. The final chapter of the book develops a general theory of singular integrals that generalizes and unifies these examples. This is one of the first general theories of multi-parameter singular integrals that goes beyond the product theory of singular integrals and their analogs. Multi-parameter Singular Integrals will interest graduate students and researchers working in singular integrals and related fields.

Author : Karl H. Hofmann,Sidney A. Morris
Publisher : Walter de Gruyter GmbH & Co KG
Page : 1076 pages
File Size : 45,7 Mb
Release : 2023-10-23
Category : Mathematics
ISBN : 9783111172606

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The Structure of Compact Groups by Karl H. Hofmann,Sidney A. Morris Pdf

Author : Yasushi Ishikawa
Publisher : Walter de Gruyter GmbH & Co KG
Page : 376 pages
File Size : 51,5 Mb
Release : 2023-07-24
Category : Mathematics
ISBN : 9783110675290

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Stochastic Calculus of Variations by Yasushi Ishikawa Pdf

This book is a concise introduction to the stochastic calculus of variations for processes with jumps. The author provides many results on this topic in a self-contained way for e.g., stochastic differential equations (SDEs) with jumps. The book also contains some applications of the stochastic calculus for processes with jumps to the control theory, mathematical finance and so. This third and entirely revised edition of the work is updated to reflect the latest developments in the theory and some applications with graphics.

Author : Marko Kostić
Publisher : Walter de Gruyter GmbH & Co KG
Page : 576 pages
File Size : 48,5 Mb
Release : 2023-06-06
Category : Mathematics
ISBN : 9783111233871

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Metrical Almost Periodicity and Applications to Integro-Differential Equations by Marko Kostić Pdf

Author : Nora Doll,Hermann Schulz-Baldes,Nils Waterstraat
Publisher : Walter de Gruyter GmbH & Co KG
Page : 460 pages
File Size : 54,7 Mb
Release : 2023-06-19
Category : Mathematics
ISBN : 9783111172477

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Spectral Flow by Nora Doll,Hermann Schulz-Baldes,Nils Waterstraat Pdf

Author : Ştefan Ovidiu I. Tohăneanu
Publisher : Walter de Gruyter GmbH & Co KG
Page : 276 pages
File Size : 49,6 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 9783111214795

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Commutative Algebra Methods for Coding Theory by Ştefan Ovidiu I. Tohăneanu Pdf

This book aims to be a comprehensive treatise on the interactions between Coding Theory and Commutative Algebra. With the help of a multitude of examples, it expands and systematizes the known and versatile commutative algebraic framework used, since the early 90’s, to study linear codes. The book provides the necessary background for the reader to advance with similar research on coding theory topics from commutative algebraic perspectives.

Author : Francesco Aldo Costabile,Maria Italia Gualtieri,Anna Napoli
Publisher : Walter de Gruyter GmbH & Co KG
Page : 526 pages
File Size : 50,6 Mb
Release : 2023-12-18
Category : Mathematics
ISBN : 9783110757248

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Polynomial Sequences by Francesco Aldo Costabile,Maria Italia Gualtieri,Anna Napoli Pdf

Polynomials are useful mathematical tools. They are simply defined and can be calculated quickly on computer systems. They can be differentiated and integrated easily and can be pieced together to form spline curves. After Weierstrass approximation Theorem, polynomial sequences have acquired considerable importance not only in the various branches of Mathematics, but also in Physics, Chemistry and Engineering disciplines. There is a wide literature on specific polynomial sequences. But there is no literature that attempts a systematic exposition of the main basic methods for the study of a generic polynomial sequence and, at the same time, gives an overview of the main polynomial classes and related applications, at least in numerical analysis. In this book, through an elementary matrix calculus-based approach, an attempt is made to fill this gap by exposing dated and very recent results, both theoretical and applied.

Author : Shiferaw Berhanu,Nordine Mir,Emil J. Straube
Publisher : American Mathematical Soc.
Page : 184 pages
File Size : 54,8 Mb
Release : 2017-01-17
Category : Functions of several complex variables
ISBN : 9781470422554

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Analysis and Geometry in Several Complex Variables by Shiferaw Berhanu,Nordine Mir,Emil J. Straube Pdf

This volume contains the proceedings of the workshop on Analysis and Geometry in Several Complex Variables, held from January 4–8, 2015, at Texas A&M University at Qatar, Doha, Qatar. This volume covers many topics of current interest in several complex variables, CR geometry, and the related area of overdetermined systems of complex vector fields, as well as emerging trends in these areas. Papers feature original research on diverse topics such as the rigidity of CR mappings, normal forms in CR geometry, the d-bar Neumann operator, asymptotic expansion of the Bergman kernel, and hypoellipticity of complex vector fields. Also included are two survey articles on complex Brunn-Minkowski theory and the regularity of systems of complex vector fields and their associated Laplacians.

Author : Francis Nier,Bernard Helffer
Publisher : Springer
Page : 209 pages
File Size : 47,5 Mb
Release : 2005-01-17
Category : Mathematics
ISBN : 9783540315537

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Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians by Francis Nier,Bernard Helffer Pdf

There has recently been a renewal of interest in Fokker-Planck operators, motivated by problems in statistical physics, in kinetic equations, and differential geometry. Compared to more standard problems in the spectral theory of partial differential operators, those operators are not self-adjoint and only hypoelliptic. The aim of the analysis is to give, as generally as possible, an accurate qualitative and quantitative description of the exponential return to the thermodynamical equilibrium. While exploring and improving recent results in this direction, this volume proposes a review of known techniques on: the hypoellipticity of polynomial of vector fields and its global counterpart, the global Weyl-Hörmander pseudo-differential calculus, the spectral theory of non-self-adjoint operators, the semi-classical analysis of Schrödinger-type operators, the Witten complexes, and the Morse inequalities.

Author : David S. Tartakoff
Publisher : Springer Science & Business Media
Page : 204 pages
File Size : 41,5 Mb
Release : 2011-07-26
Category : Mathematics
ISBN : 9781441998132

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Nonelliptic Partial Differential Equations by David S. Tartakoff Pdf

This book provides a very readable description of a technique, developed by the author years ago but as current as ever, for proving that solutions to certain (non-elliptic) partial differential equations only have real analytic solutions when the data are real analytic (locally). The technique is completely elementary but relies on a construction, a kind of a non-commutative power series, to localize the analysis of high powers of derivatives in the so-called bad direction. It is hoped that this work will permit a far greater audience of researchers to come to a deep understanding of this technique and its power and flexibility.

Author : Ali Baklouti,Aziz El Kacimi,Sadok Kallel,Nordine Mir
Publisher : Springer
Page : 266 pages
File Size : 43,9 Mb
Release : 2015-07-26
Category : Mathematics
ISBN : 9783319174433

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Analysis and Geometry by Ali Baklouti,Aziz El Kacimi,Sadok Kallel,Nordine Mir Pdf

This book includes selected papers presented at the MIMS (Mediterranean Institute for the Mathematical Sciences) - GGTM (Geometry and Topology Grouping for the Maghreb) conference, held in memory of Mohammed Salah Baouendi, a most renowned figure in the field of several complex variables, who passed away in 2011. All research articles were written by leading experts, some of whom are prize winners in the fields of complex geometry, algebraic geometry and analysis. The book offers a valuable resource for all researchers interested in recent developments in analysis and geometry.

Author : Anonim
Publisher : Unknown
Page : 796 pages
File Size : 40,8 Mb
Release : 2003
Category : Mathematics
ISBN : UVA:X006180445

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Mathematical Reviews by Anonim Pdf