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Author: Charles Ara Pehlivanian
Publisher:
ISBN:
Category :
Languages : en
Pages : 188
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Book Description
Author: Charles Ara Pehlivanian
Publisher:
ISBN:
Category :
Languages : en
Pages : 188
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Book Description
Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 728
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Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 854
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Author:
Publisher:
ISBN:
Category : Dissertation abstracts
Languages : en
Pages : 776
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Author: Miran Cĕrne
Publisher:
ISBN:
Category :
Languages : en
Pages : 262
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Book Description
The problem of perturbing analytic discs with boundary in CR-submanifold of $\Cc^n$ is considered. A theorem by globevnik on the perturbation by analytic discs along maximal real submanifolds of $\Cc^n$ is generalized and used in various applications: (i) it is proved that every energy functional minimizing disc in $\Cc^n$ with free boundary in a Lagrangian submanifold of $\Cc^n$ and all partial indices greater or equal -1 is holomorphic, (ii) a new proof and a generalization of a result by Pang on the Kobayashi extremal discs is given, (iii) perturbations of analytic varieties with boundaries in a totally real torus in $\Cc^2$ fibered over the unit circle $\partial D$ are considered. Also, some results by Baouendi, Rothschild and Trepreau on the family of analytic discs attached to a CR-submanifold of $\Cc^n$ of a positive CR-dimension are globalized.
Author: Giovanni Bellettini
Publisher: Springer
ISBN: 8876424296
Category : Mathematics
Languages : en
Pages : 336
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Book Description
The aim of the book is to study some aspects of geometric evolutions, such as mean curvature flow and anisotropic mean curvature flow of hypersurfaces. We analyze the origin of such flows and their geometric and variational nature. Some of the most important aspects of mean curvature flow are described, such as the comparison principle and its use in the definition of suitable weak solutions. The anisotropic evolutions, which can be considered as a generalization of mean curvature flow, are studied from the view point of Finsler geometry. Concerning singular perturbations, we discuss the convergence of the Allen–Cahn (or Ginsburg–Landau) type equations to (possibly anisotropic) mean curvature flow before the onset of singularities in the limit problem. We study such kinds of asymptotic problems also in the static case, showing convergence to prescribed curvature-type problems.
Author:
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 738
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Author: Jaap Eldering
Publisher: Springer Science & Business Media
ISBN: 9462390037
Category : Mathematics
Languages : en
Pages : 197
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Book Description
This monograph treats normally hyperbolic invariant manifolds, with a focus on noncompactness. These objects generalize hyperbolic fixed points and are ubiquitous in dynamical systems. First, normally hyperbolic invariant manifolds and their relation to hyperbolic fixed points and center manifolds, as well as, overviews of history and methods of proofs are presented. Furthermore, issues (such as uniformity and bounded geometry) arising due to noncompactness are discussed in great detail with examples. The main new result shown is a proof of persistence for noncompact normally hyperbolic invariant manifolds in Riemannian manifolds of bounded geometry. This extends well-known results by Fenichel and Hirsch, Pugh and Shub, and is complementary to noncompactness results in Banach spaces by Bates, Lu and Zeng. Along the way, some new results in bounded geometry are obtained and a framework is developed to analyze ODEs in a differential geometric context. Finally, the main result is extended to time and parameter dependent systems and overflowing invariant manifolds.
Author: A. Katok
Publisher: Elsevier
ISBN: 0080478220
Category : Mathematics
Languages : en
Pages : 1235
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Book Description
This second half of Volume 1 of this Handbook follows Volume 1A, which was published in 2002. The contents of these two tightly integrated parts taken together come close to a realization of the program formulated in the introductory survey "Principal Structures of Volume 1A.The present volume contains surveys on subjects in four areas of dynamical systems: Hyperbolic dynamics, parabolic dynamics, ergodic theory and infinite-dimensional dynamical systems (partial differential equations).. Written by experts in the field.. The coverage of ergodic theory in these two parts of Volume 1 is considerably more broad and thorough than that provided in other existing sources. . The final cluster of chapters discusses partial differential equations from the point of view of dynamical systems.
Author: Mohamed Ben Ayed
Publisher: Cambridge University Press
ISBN: 1108431631
Category : Mathematics
Languages : en
Pages : 471
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Book Description
Presents the state of the art in PDEs, including the latest research and short courses accessible to graduate students.
