Authors:Frederick J., Jr. Almgren, Vladimir Scheffer, Jean E
Publisher: World Scientific Pub Co Inc
Keywords: minimizing, regularity, scientific, currents, series, mathematics, rectifiable, monograph, integral, valued, paper, functions, dirichlet, almgren, area
Number of Pages: 955
Published: 2000-09
List price: $137.00
ISBN-10: 9810241089
ISBN-13: 9789810241087

This text provides a complete proof of the interior regularity of an area-minimizing rectifiable current up to Hausdorff codimension 2. The argument uses the theory of Q-valued functions, which is developed in detail for the reader.

Authors:Klaus Ecker, Birkhauser,
Publisher: Birkhäuser Boston
Keywords: flow, curvature, theory, regularity
Number of Pages: 120
Published: 2003-12-18
List price: $145.00
ISBN-10: 0817632433
ISBN-13: 9780817632434

This work is devoted to the motion of surfaces for which the normal velocity at every point is given by the mean curvature at that point; this geometric heat flow process is called mean curvature flow. Mean curvature flow and related geometric evolution equations are important tools in mathematics and mathematical physics. A major example is Hamilton’s Ricci flow program, which has the aim of settling Thurston’s geometrization conjecture, with recent major progress due to Perelman. Another important application of a curvature flow process is the resolution of the famous Penros

Authors:Elizabeth Closs Traugott, Richard B. Dasher,
Publisher: Cambridge University Pre
Keywords: studies, linguistics, cambridge, change, semantic, regularity
Number of Pages: 362
Published: 2002-02-04
List price: $125.00
ISBN-10: 0521583780
ISBN-13: 9780521583787

This new and important study of semantic change examines the various ways in which new meanings arise through language use, especially the ways in which speakers and writers experiment with uses of words and constructions. Drawing on extensive research from over a thousand years of English and Japanese textual history, Traugott and Dasher show that most changes in meaning originate in and are motivated by the associative flow of speech and conceptual metonymy.Book DescriptionThis new and important study of semantic change examines the various ways in which new meanings arise through language u

Author: Jan Maly
Publisher: American Mathematical Society
Keywords: equations, mathematical, surveys, monographs, differential, partial, regularity, solutions, elliptic, fine
Number of Pages: 291
Published: 1997-07-29
List price: $87.00
ISBN-10: 0821803352
ISBN-13: 9780821803356

The primary objective of this book is to give a comprehensive exposition of results surrounding the work of the authors concerning boundary regularity of weak solutions of second-order elliptic quasilinear equations in divergence form. The structure of these equations allows coefficients in certain $L^{p}$ spaces, and thus it is known from classical results that weak solutions are locally Holder continuous in the interior. Here it is shown that weak solutions are continuous at the boundary if and only if a Wiener-type condition is satisfied. This condition reduces to the celebrated Wiener crit

Author: Alessandra Lunardi
Publisher: Birkhäuser Basel
Keywords: nonlinear, differential, equations, applications, progress, problems, semigroups, optimal, regularity, parabolic, analytic
Number of Pages: 452
Published: 2003-05-12
List price: $189.00
ISBN-10: 3764351721
ISBN-13: 9783764351724

The book shows how the abstract methods of analytic semigroups and evolution equations in Banach spaces can be fruitfully applied to the study of parabolic problems.Particular attention is paid to optimal regularity results in linear equations. Furthermore, these results are used to study several other problems, especially fully nonlinear ones.Owing to the new unified approach chosen, known theorems are presented from a novel perspective and new results are derived.The book is self-contained. It is addressed to PhD students and researchers interested in abstract evolution equations and in para

Authors:Javier Majadas, Antonio G. Rodicio,
Publisher: Cambridge University Press
Keywords: society, lecture, series, mathematical, london, regularity, complete, intersection, smoothness
Number of Pages: 140
Published: 2010-06-07
List price: $50.00
ISBN-10: 0521125723
ISBN-13: 9780521125727

Written to complement standard texts on commutative algebra, this short book gives complete and relatively easy proofs of important results, including the standard results involving localisation of formal smoothness (M. André) and localisation of complete intersections (L. Avramov), some important results of D. Popescu and André on regular homomorphisms, and some results from A. Grothendieck’s EGA on smooth homomorphisms. The authors make extensive use of the André-Quillen homology of commutative algebras, but only up to dimension 2, which is easy to construct, and they deliberately a

Authors:Diethard Klatte, B. Kummer,
Publisher: Springer
Keywords: applications, optimization, nonconvex, methods, regularity, equations, nonsmooth, calculus
Number of Pages: 360
Published: 2002-05-31
List price: $209.00
ISBN-10: 1402005504
ISBN-13: 9781402005503

The book establishes links between regularity and derivative concepts of nonsmooth analysis and studies of solution methods and stability for optimization, complementarity and equilibrium problems. In developing necessary tools, it presents, in particular: - an extended analysis of Lipschitz functions and the calculus of their generalized derivatives, including regularity, successive approximation and implicit functions for multivalued mappings; - a unified theory of Lipschitzian critical points in optimization and other variational problems, with relations to reformulations