Maximal Subellipticity

Maximal Subellipticity PDF Author: Brian Street
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111085643
Category : Mathematics
Languages : en
Pages : 768

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Book Description
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.

Maximal Subellipticity

Maximal Subellipticity PDF Author: Brian Street
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111085643
Category : Mathematics
Languages : en
Pages : 768

Get Book Here

Book Description
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.

Local Boundedness, Maximum Principles, and Continuity of Solutions to Infinitely Degenerate Elliptic Equations with Rough Coefficients

Local Boundedness, Maximum Principles, and Continuity of Solutions to Infinitely Degenerate Elliptic Equations with Rough Coefficients PDF Author: Lyudmila Korobenko
Publisher: American Mathematical Soc.
ISBN: 1470444011
Category : Education
Languages : en
Pages : 130

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Book Description
View the abstract: https://bookstore.ams.org/memo-269-1311/

Geometric Analysis of Several Complex Variables and Related Topics

Geometric Analysis of Several Complex Variables and Related Topics PDF Author: Y. Barkatou
Publisher: American Mathematical Soc.
ISBN: 0821852574
Category : Mathematics
Languages : en
Pages : 208

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Book Description
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.

The Structure of Compact Groups

The Structure of Compact Groups PDF Author: Karl H. Hofmann
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111172600
Category : Mathematics
Languages : en
Pages : 1076

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Book Description


Mathematical Structures

Mathematical Structures PDF Author: Joachim Hilgert
Publisher: Springer Nature
ISBN: 3662694123
Category :
Languages : en
Pages : 337

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Book Description


Stochastic Calculus of Variations

Stochastic Calculus of Variations PDF Author: Yasushi Ishikawa
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110675293
Category : Mathematics
Languages : en
Pages : 376

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Book Description
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.

Metrical Almost Periodicity and Applications to Integro-Differential Equations

Metrical Almost Periodicity and Applications to Integro-Differential Equations PDF Author: Marko Kostić
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111233871
Category : Mathematics
Languages : en
Pages : 576

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Book Description


Spectral Flow

Spectral Flow PDF Author: Nora Doll
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111172473
Category : Mathematics
Languages : en
Pages : 460

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Book Description


Commutative Algebra Methods for Coding Theory

Commutative Algebra Methods for Coding Theory PDF Author: Ştefan Ovidiu I. Tohăneanu
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111214796
Category : Mathematics
Languages : en
Pages : 276

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Book Description
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.

Weighted Morrey Spaces

Weighted Morrey Spaces PDF Author: Marcus Laurel
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311145827X
Category : Mathematics
Languages : en
Pages : 432

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Book Description
This monograph is a testament to the potency of the method of singular integrals of layer potential type in solving boundary value problems for weakly elliptic systems in the setting of Muckenhoupt-weighted Morrey spaces and their pre-duals. A functional analytic framework for Muckenhoupt-weighted Morrey spaces in the rough setting of Ahlfors regular sets is built from the ground up and subsequently supports a Calderón-Zygmund theory on this brand of Morrey space in the optimal geometric environment of uniformly rectifiable sets. A thorough duality theory for such Morrey spaces is also developed and ushers in a never-before-seen Calderón-Zygmund theory for Muckenhoupt-weighted Block spaces. Both weighted Morrey and Block spaces are also considered through the lens of (generalized) Banach function spaces, and ultimately, a variety of boundary value problems are formulated and solved with boundary data arbitrarily prescribed from either scale of space. The fairly self-contained nature of this monograph ensures that graduate students, researchers, and professionals in a variety of fields, e.g., function space theory, harmonic analysis, and PDE, will find this monograph a welcome and valuable addition to the mathematical literature.