Liouville’s Theory in Linear and Nonlinear Partial Differential Equations by Takashi Suzuki

Liouville’s Theory in Linear and Nonlinear Partial Differential Equations by Takashi Suzuki

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.

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

SKU	Unavailable
ISBN 13	9789819519743
ISBN 10	9819519748
Title	Liouville’s Theory in Linear and Nonlinear Partial Differential Equations
Author	Takashi Suzuki
Series	Springer Asia Pacific Mathematics Series
Condition	Unavailable
Binding Type	Hardback
Publisher	Springer Verlag, Singapore
Year published	2025-11-01
Number of pages	589
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.