Variational Methods For Strongly Indefinite Problems

Yanheng Ding (Chinese Academy Of Sciences, China)

$185.99

Hardback

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English

World Scientific Publishing Co Pte Ltd
15 August 2007

Non-linear science

Series: Interdisciplinary Mathematical Sciences

Summary
Details

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, Schroedinger 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.

By: Yanheng Ding (Chinese Academy Of Sciences China)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
Volume: 7
Dimensions: Height: 247mm, Width: 175mm, Spine: 17mm
Weight: 526g
ISBN: 9789812709622
ISBN 10: 9812709622
Series: Interdisciplinary Mathematical Sciences
Pages: 176
Publication Date: 15 August 2007
Audience: College/higher education , Professional and scholarly , Further / Higher Education , Undergraduate
Format: Hardback
Publisher's Status: Active

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Variational Methods For Strongly Indefinite Problems

Yanheng Ding (Chinese Academy Of Sciences, China)

$185.99

Hardback

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