Name: Integro-Differential Elliptic Equations (en Inglés)
Price: 221570.00 CLP
Availability: InStock
Author: Fernández-Real, Xavier ; Ros-Oton, Xavier
ISBN: 9783031542411

portada Integro-Differential Elliptic Equations (en Inglés)

Formato

Libro Físico

Autor

Xavier Ros-Oton

Xavier Fernández-Real

Editorial

Birkhauser

Idioma

Inglés

N° páginas

395

Encuadernación

Tapa Dura

Dimensiones

23.4 x 15.6 x 2.4 cm

Peso

0.75 kg.

ISBN13

9783031542411

Categorías

Análisis funcional y transformaciones
Cálculo diferencial y ecuaciones

Integro-Differential Elliptic Equations (en Inglés)

Xavier Ros-Oton (Autor) · Xavier Fernández-Real (Autor) · Birkhauser · Tapa Dura

Libro Físico

$ 221.570

$ 402.850

Ahorras: $ 181.280

45% descuento

Envío normal

Origen: Estados Unidos (Costos de importación incluídos en el precio)

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Reseña del libro "Integro-Differential Elliptic Equations (en Inglés)"

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.