Variational Methods For Strongly Indefinite Problems is popular PDF and ePub book, written by Yanheng Ding in 2007-07-30, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Variational Methods For Strongly Indefinite Problems can be Read Online from any device for your convenience.
Variational Methods For Strongly Indefinite Problems Book PDF Summary
This unique book focuses on critical point theory for strongly indefinite functionals in order to deal with nonlinear variational problems in areas such as physics, mechanics and economics. With the original ingredients of Lipschitz partitions of unity of gage spaces (nonmetrizable spaces), Lipschitz normality, and sufficient conditions for the normality, as well as existence-uniqueness of flow of ODE on gage spaces, the book presents for the first time a deformation theory in locally convex topological vector spaces. It also offers satisfying variational settings for homoclinic-type solutions to Hamiltonian systems, Schrödinger equations, Dirac equations and diffusion systems, and describes recent developments in studying these problems. The concepts and methods used open up new topics worthy of in-depth exploration, and link the subject with other branches of mathematics, such as topology and geometry, providing a perspective for further studies in these areas. The analytical framework can be used to handle more infinite-dimensional Hamiltonian systems.
Detail Book of Variational Methods For Strongly Indefinite Problems PDF
- Author : Yanheng Ding
- Release : 30 July 2007
- Publisher : World Scientific
- ISBN : 9789814474504
- Genre : Mathematics
- Total Page : 177 pages
- Language : English
- PDF File Size : 12,9 Mb
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