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Integro-Differ
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- Buy it nowIntegro-Differential Elliptic Equations by Xavier Fern?ndez-Real Hardcover Book
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Located in: Fairfield, Ohio, United States
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Item specifics
- Condition
- ISBN-13
- 9783031542411
- Book Title
- Integro-Differential Elliptic Equations
- ISBN
- 9783031542411
- Series
- Progress in Mathematics Ser.
- Publication Year
- 2024
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Publication Name
- Integro-Differential Elliptic Equations
- Item Length
- 9.3in
- Publisher
- Springer Basel A&G
- Item Width
- 6.1in
- Number of Pages
- Xvi, 395 Pages
About this product
Product Information
This monograph offers a self-contained introduction to the regularity theory for integro-differential elliptic equations, mostly developed in the 21st century. This class of equations finds relevance in fields such as analysis, probability theory, mathematical physics, and in several contexts in the applied sciences. The work gives a detailed presentation of all the necessary techniques, with a primary focus on the main ideas rather than on proving all the results in their greatest generality. The basic building blocks are presented first, with the study of the square root of the Laplacian, and weak solutions to linear equations. Subsequently, the theory of viscosity solutions to nonlinear equations is developed, and proofs are provided for the main known results in this context. The analysis finishes with the investigation of obstacle problems for integro-differential operators and establishes the regularity of solutions and free boundaries. A distinctive feature of this work lies in its presentation of nearly all covered material in a monographic format for the first time, and several proofs streamline, and often simplify, those in the original papers. Furthermore, various open problems are listed throughout the chapters.
Product Identifiers
Publisher
Springer Basel A&G
ISBN-10
303154241x
ISBN-13
9783031542411
eBay Product ID (ePID)
22065007617
Product Key Features
Publication Name
Integro-Differential Elliptic Equations
Format
Hardcover
Language
English
Series
Progress in Mathematics Ser.
Publication Year
2024
Type
Textbook
Number of Pages
Xvi, 395 Pages
Dimensions
Item Length
9.3in
Item Width
6.1in
Additional Product Features
Series Volume Number
350
Number of Volumes
1 Vol.
Lc Classification Number
Qa431
Table of Content
The square root of the Laplacian.- Linear integro-differential equations.- Fully nonlinear equations.- Obstacle problems.
Copyright Date
2024
Topic
Differential Equations / General, Functional Analysis, Mathematical Analysis
Illustrated
Yes
Genre
Mathematics
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