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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Liouville's Theory in Linear and Nonlinear Partial Differential Equations

Liouville's Theory in Linear and Nonlinear Partial Differential Equations

Suzuki, Takashi

Hardcover

Series: Springer Asia Pacific Mathematics, Book 8

General MathematicsGeometry

ISBN10: 9819519748
ISBN13: 9789819519743
Publisher: Springer
Published: Nov 1 2025
Pages: 589
Weight: 2.25
Height: 1.31 Width: 6.14 Depth: 9.21
Language: English
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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