Abstract Parabolic Evolution Equations and their Applications

Atsushi Yagi

ca. 107,09
Amazon iTunes Thalia.de Weltbild.de Hugendubel Bücher.de ebook.de kobo Mayersche Osiander Google Books Barnes&Noble bol.com
* Affiliatelinks/Werbelinks
Hinweis: Affiliatelinks/Werbelinks
Links auf reinlesen.de sind sogenannte Affiliate-Links. Wenn du auf so einen Affiliate-Link klickst und über diesen Link einkaufst, bekommt reinlesen.de von dem betreffenden Online-Shop oder Anbieter eine Provision. Für dich verändert sich der Preis nicht.

Springer Berlin img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Analysis


This monograph is intended to present the fundamentals of the theory of abstract parabolic evolution equations and to show how to apply to various nonlinear dif- sion equations and systems arising in science. The theory gives us a uni?ed and s- tematic treatment for concrete nonlinear diffusion models. Three main approaches are known to the abstract parabolic evolution equations, namely, the semigroup methods, the variational methods, and the methods of using operational equations. In order to keep the volume of the monograph in reasonable length, we will focus on the semigroup methods. For other two approaches, see the related references in Bibliography. The semigroup methods, which go back to the invention of the analytic se- groups in the middle of the last century, are characterized by precise formulas representing the solutions of the Cauchy problem for evolution equations. The ?tA analytic semigroup e generated by a linear operator ?A provides directly a fundamental solution to the Cauchy problem for an autonomous linear e- dU lution equation, +AU =F(t), 0

Weitere Titel von diesem Autor
Weitere Titel zum gleichen Preis



nonlinear diffusion systems, biological and ecological models, exponential attractors, dynamical systems, abstract parabolic evolution equations, numerical analysis, biology, ecology