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Liouville's Theory in Linear and Nonlinear Partial Differential Equations

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Liouville's Theory in Linear and Nonlinear Partial Differential Equations

Takashi Suzuki

Springer
Publication date : 2025-10-31

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A variety of theorems named the Liouville property play fundamental roles in modern theory of mathematical analysis. Understanding each of them individually is not so difficult nowadays. What are they pointing toward in their totality, however? This monograph asserts that self-organization may be an answer, searching recent studies on linear and nonlinear partial differential equations. Critical breakthroughs have emerged in accordance with the widely spread classical ideas of J. Liouville in various forms, that is, the spectral, elliptic, surface, and transport theories, in turn. A fusion of them is seen in recently developing research fields—mathematical oncology, non-equilibrium statistical mechanics, dynamical theory, and shape optimization—which taken together may be called the potential for self-organization.

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About the book

Author

Takashi Suzuki

Imprint

Springer

Collection

n.c

Publication date

2025-10-31

Pages

589 pages

Print ISBN

9789819519743

Language

English

Ebook informations

EAN EPUB

9789819519750

Price

£149.50

Copy count 5

Print count 58

File size 38011 Ko

Informations accessibility

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About author(s)

Takashi Suzuki

Takashi Suzuki is a Vice-Director of the Center for Mathematical Modeling and Data Science at Osaka Univeristy.

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