Flows of Non-Smooth Vector Fields and Degenerate Elliptic Equations, Maria Colombo
Автор: Emmanuele DiBenedetto; Prof. Ugo Pietro Gianazza U Название: Harnack`s Inequality for Degenerate and Singular Parabolic Equations ISBN: 1489999760 ISBN-13(EAN): 9781489999764 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Degenerate and singular parabolic equations have been the subject of extensive research for the last 25 years. Despite important achievements, the issue of the Harnack inequality for non-negative solutions to these equations, both of p-Laplacian and porous medium type, while raised by several authors, has remained basically open. Recently considerable progress has been made on this issue, to the point that, except for the singular sub-critical range, both for the p-laplacian and the porous medium equations, the theory is reasonably complete.
It seemed therefore timely to trace a comprehensive overview, that would highlight the main issues and also the problems that still remain open. The authors give a comprehensive treatment of the Harnack inequality for non-negative solutions to p-laplace and porous medium type equations, both in the degenerate (p>2 or m>1) and in the singular range (1pmThe book is self-contained. Building on a similar monograph by the first author, the authors of the present book focus entirely on the Harnack estimates and on their applications: indeed a number of known regularity results are given a new proof, based on the Harnack inequality. It is addressed to all professionals active in the field, and also to advanced graduate students, interested in understanding the main issues of this fascinating research field.
Автор: Serge Levendorskii Название: Degenerate Elliptic Equations ISBN: 079232305X ISBN-13(EAN): 9780792323051 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A study of the properties of wide classes of degenerate elliptic operators of arbitrary order and pseudo-differential operators with multiple characteristics. Conditions for operators to be Fredholm in appropriate weighted Sobolev spaces are given, and a priori estimates of solutions are derived.
Описание: This work discusses the blending of potential theory, probability and degenerate partial differential operators. The theory of Dirichlet (Markovian) which forms on an abstract finite or infinite-dimensional space is common to all three disciplines and is investigated here.
Описание: This book, which is based on several courses of lectures given by the author at the Independent University of Moscow, is devoted to Sobolev-type spaces and boundary value problems for linear elliptic partial differential equations.
Автор: Ilya A. Kuzin; Stanislav I. Pohozaev Название: Entire Solutions of Semilinear Elliptic Equations ISBN: 3034899629 ISBN-13(EAN): 9783034899628 Издательство: Springer Рейтинг: Цена: 19559.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Semilinear elliptic equations play an important role in many areas of mathematics and its applications to other sciences. This book presents a wealth of modern methods to solve such equations.Readers of this exposition will be advanced students and researchers in mathematics, physics and other.
Автор: Vitaly Volpert Название: Elliptic Partial Differential Equations ISBN: 3034808127 ISBN-13(EAN): 9783034808125 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book offers a systematic investigation of reaction-diffusion equations including existence, stability and bifurcations of solutions. It presents numerous examples and applications from population dynamics, chemical physics and biomedical models.
Описание: Sets out to answer two important questions: Which numerical methods may be combined together? And how can different numerical methods be matched together? This book presents a number of useful combinations, for instance, the combination of various FEMs, the combinations of FEM-FDM, REM-FEM and RGM-FDM.
Автор: Wei-Ming Ni; L.A. Peletier; J.L. Vazquez Название: Degenerate Diffusions ISBN: 1461269350 ISBN-13(EAN): 9781461269359 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This IMA Volume in Mathematics and its Applications DEGENERATE DIFFUSIONS is based on the proceedings of a workshop which was an integral part of the 1990- 91 IMA program on "Phase Transitions and Free Boundaries".
Описание: The concept of "reformulation" has long been playing an important role in mathematical programming. A classical example is the penalization technique in constrained optimization that transforms the constraints into the objective function via a penalty function thereby reformulating a constrained problem as an equivalent or approximately equivalent unconstrained problem. More recent trends consist of the reformulation of various mathematical programming prob- lems, including variational inequalities and complementarity problems, into equivalent systems of possibly nonsmooth, piecewise smooth or semismooth nonlinear equations, or equivalent unconstrained optimization problems that are usually differentiable, but in general not twice differentiable. Because of the recent advent of various tools in nonsmooth analysis, the reformulation approach has become increasingly profound and diversified. In view of growing interests in this active field, we planned to organize a cluster of sessions entitled "Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods" in the 16th International Symposium on Mathematical Programming (ismp97) held at Lausanne EPFL, Switzerland on August 24-29, 1997. Responding to our invitation, thirty-eight people agreed to give a talk within the cluster, which enabled us to organize thirteen sessions in total. We think that it was one of the largest and most exciting clusters in the symposium. Thanks to the earnest support by the speakers and the chairpersons, the sessions attracted much attention of the participants and were filled with great enthusiasm of the audience.
Автор: Wei-Ming Ni; L.A. Peletier; J.L. Vazquez Название: Degenerate Diffusions ISBN: 0387940685 ISBN-13(EAN): 9780387940687 Издательство: Springer Рейтинг: Цена: 25155.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This IMA Volume in Mathematics and its Applications DEGENERATE DIFFUSIONS is based on the proceedings of a workshop which was an integral part of the 1990- 91 IMA program on "Phase Transitions and Free Boundaries".
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