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612-822-4611
The Fractional Laplacian

The Fractional Laplacian

Hardcover

General Mathematics

ISBN10: 9813223995
ISBN13: 9789813223998
Publisher: World Scientific Publishing Company
Published: Jun 20 2020
Pages: 344
Weight: 1.64
Height: 0.81 Width: 6.69 Depth: 9.61
Language: English

This is a unique book that provides a comprehensive understanding of nonlinear equations involving the fractional Laplacian as well as other nonlocal operators. Beginning from the definition of fractional Laplacian, it gradually leads the readers to the frontier of current research in this area. The explanations and illustrations are elementary enough so that first year graduate students can follow easily, while it is advanced enough to include many new ideas, methods, and results that appeared recently in research literature, which researchers would find helpful. It focuses on introducing direct methods on the nonlocal problems without going through extensions, such as the direct methods of moving planes, direct method of moving spheres, direct blowing up and rescaling arguments, and so on. Different from most other books, it emphasizes on illuminating the ideas behind the formal concepts and proofs, so that readers can quickly grasp the essence.

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General Mathematics