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Partial Differential Operators of Elliptic Type - Mathematics Book

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Description

Expand your mathematical knowledge with Partial Differential Operators of Elliptic Type. Originally published in Japanese, this volume from the Translations of Mathematical Monographs series provides a thorough study of the theory of elliptic partial differential operators. This text serves as a valuable resource for students and professionals alike. It is designed for use in undergraduate courses or first-year graduate courses in partial differential equations. Beyond the classroom, the content is highly relevant for researchers seeking a deep understanding of the subject matter. Author Shimakura guides readers through essential topics, starting with definitions of ellipticity for higher order operators. The book covers the Laplacian in Euclidean spaces, elementary solutions, smoothness of solutions, and Vishik-Sobolev problems. Readers will also find detailed sections on Schauder theory and degenerate elliptic operators. This monograph offers a structured approach to complex mathematical analysis, making it a necessary addition to any academic or research library.

Key Features

Comprehensive study of elliptic partial differential operator theory for academic and research use.

Suitable for undergraduate students and first-year graduate students studying partial differential equations.

Covers essential topics including the Laplacian in Euclidean spaces and smoothness of solutions.

Includes detailed discussions on Vishik-Sobolev problems and Schauder theory.

Provides specialized information on higher order operators and degenerate elliptic operators.

An essential resource for researchers in the field of mathematical analysis.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
15 October 1992
Listed Since
17 December 2006

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