The Local Structure Theorem for Finite Groups With a Large $p$-Subgroup
The Local Structure Theorem for Finite Groups With a Large $p$-Subgroup

Author: U. Meierfrankenfeld

Publisher: American Mathematical Soc.

Published: 2016-06-21

Total Pages: 356

ISBN-13: 1470418770

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Let p be a prime, G a finite Kp-group S a Sylow p-subgroup of G and Q a large subgroup of G in S (i.e., CG(Q)≤Q and NG(U)≤NG(Q) for 1≠U≤CG(Q)). Let L be any subgroup of G with S≤L, Op(L)≠1 and Q⋬L. In this paper the authors determine the action of L on the largest elementary abelian normal p-reduced p-subgroup YL of L.

Nil Bohr-Sets and Almost Automorphy of Higher Order
Nil Bohr-Sets and Almost Automorphy of Higher Order

Author: Wen Huang

Publisher: American Mathematical Soc.

Published: 2016-04-26

Total Pages: 98

ISBN-13: 147041872X

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Two closely related topics, higher order Bohr sets and higher order almost automorphy, are investigated in this paper. Both of them are related to nilsystems. In the first part, the problem which can be viewed as the higher order version of an old question concerning Bohr sets is studied: for any d∈N does the collection of {n∈Z:S∩(S−n)∩…∩(S−dn)≠∅} with S syndetic coincide with that of Nild Bohr0 -sets? In the second part, the notion of d -step almost automorphic systems with d∈N∪{∞} is introduced and investigated, which is the generalization of the classical almost automorphic ones.

Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations
Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations

Author: Genni Fragnelli

Publisher: American Mathematical Soc.

Published: 2016-06-21

Total Pages: 96

ISBN-13: 1470419548

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The authors consider a parabolic problem with degeneracy in the interior of the spatial domain, and they focus on observability results through Carleman estimates for the associated adjoint problem. The novelties of the present paper are two. First, the coefficient of the leading operator only belongs to a Sobolev space. Second, the degeneracy point is allowed to lie even in the interior of the control region, so that no previous result can be adapted to this situation; however, different cases can be handled, and new controllability results are established as a consequence.

Solitons in Field Theory and Nonlinear Analysis
Solitons in Field Theory and Nonlinear Analysis

Author: Yisong Yang

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 571

ISBN-13: 1475765487

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There are two approaches in the study of differential equations of field theory. The first, finding closed-form solutions, works only for a narrow category of problems. Written by a well-known active researcher, this book focuses on the second, which is to investigate solutions using tools from modern nonlinear analysis.

XVIIth International Congress on Mathematical Physics
XVIIth International Congress on Mathematical Physics

Author: Arne Jensen

Publisher: World Scientific

Published: 2014

Total Pages: 743

ISBN-13: 9814449245

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This is an in-depth study of not just about Tan Kah-kee, but also the making of a legend through his deeds, self-sacrifices, fortitude and foresight. This revised edition sheds new light on his political agonies in Mao's China over campaigns against capitalists and intellectuals.

Geometric Analysis and PDEs
Geometric Analysis and PDEs

Author: Matthew J. Gursky

Publisher: Springer

Published: 2009-07-31

Total Pages: 296

ISBN-13: 364201674X

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This volume contains lecture notes on key topics in geometric analysis, a growing mathematical subject which uses analytical techniques, mostly of partial differential equations, to treat problems in differential geometry and mathematical physics.

Analysis and Topology in Nonlinear Differential Equations
Analysis and Topology in Nonlinear Differential Equations

Author: Djairo G de Figueiredo

Publisher: Springer

Published: 2014-06-16

Total Pages: 465

ISBN-13: 3319042149

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This volume is a collection of articles presented at the Workshop for Nonlinear Analysis held in João Pessoa, Brazil, in September 2012. The influence of Bernhard Ruf, to whom this volume is dedicated on the occasion of his 60th birthday, is perceptible throughout the collection by the choice of themes and techniques. The many contributors consider modern topics in the calculus of variations, topological methods and regularity analysis, together with novel applications of partial differential equations. In keeping with the tradition of the workshop, emphasis is given to elliptic operators inserted in different contexts, both theoretical and applied. Topics include semi-linear and fully nonlinear equations and systems with different nonlinearities, at sub- and supercritical exponents, with spectral interactions of Ambrosetti-Prodi type. Also treated are analytic aspects as well as applications such as diffusion problems in mathematical genetics and finance and evolution equations related to electromechanical devices.