Téléchargez le livre : Liouville's Theory in Linear and Nonlinear Partial Differential Equations

Liouville's Theory in Linear and Nonlinear Partial Differential Equations



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Springer


Paru le : 2025-10-31



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Description

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. 
 
Pages
589 pages
Collection
n.c
Parution
2025-10-31
Marque
Springer
EAN papier
9789819519743
EAN EPUB
9789819519750
Informations sur l'ebook
Nombre pages copiables
5
Nombre pages imprimables
58
Taille du fichier
38011 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
179,34 €

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

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