In an update of her 2002 Lambda Goes to Plus Infinity Chipot incorporates recent findings--her own and others'--in asymptotic issues for some partial differential equations. She covers the Dirichlet problem in some unbounded domains, the pure Neumann problem, periodic problems, anisotropic singular perturbation problems, eigenvalue problems, elliptic systems, the Stokes problem, variational inequalities, and the calculus of variations. The material could interest students and researchers in mathematics. Distributed in the US by World Scientific. Annotation ©2016 Ringgold, Inc., Portland, OR (protoview.com)
Much progress has been made in recent years on the issue of asymptotic behavior of problems set in bounded domains, for example cylinders. This book goes one step further by presenting the latest accomplishments on asymptotic behavior in domains which become unbounded.It also investigates new issues which have emerged including existence, anisotropic singular perturbation, periodic behavior forced by periodic data, and uniqueness theorem for problems set in unbounded domains. These new discoveries are treated with unique techniques developed to investigate the asymptotic behavior of variable problems.Theories investigated throughout the book can be applied to other problems related to partial differential equations, making it an important text for students and researchers within the discipline.Asymptotic Issues for Some Partial Differential Equations is an updated account of l Goes to Plus Infinity, published by Springer in 2002.
