Progress in Elliptic and Parabolic Partial Differential Equations

Progress in Elliptic and Parabolic Partial Differential Equations PDF Author: A Alvino
Publisher: CRC Press
ISBN: 9780582259706
Category : Mathematics
Languages : en
Pages : 236

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Book Description
This Research Note collects reports of the invited plenary addresses given during the conference Elliptic and Parabolic Partial Differential Equations and Applications held in Capri, Italy, 19-23 September 1994. The conference was devoted to new developments in partial differential equations of elliptic and parabolic type and to their applications in various fields.

Progress in Elliptic and Parabolic Partial Differential Equations

Progress in Elliptic and Parabolic Partial Differential Equations PDF Author: A Alvino
Publisher: CRC Press
ISBN: 9780582259706
Category : Mathematics
Languages : en
Pages : 236

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Book Description
This Research Note collects reports of the invited plenary addresses given during the conference Elliptic and Parabolic Partial Differential Equations and Applications held in Capri, Italy, 19-23 September 1994. The conference was devoted to new developments in partial differential equations of elliptic and parabolic type and to their applications in various fields.

Numerical Methods for Elliptic and Parabolic Partial Differential Equations

Numerical Methods for Elliptic and Parabolic Partial Differential Equations PDF Author: Peter Knabner
Publisher: Springer Science & Business Media
ISBN: 038795449X
Category : Mathematics
Languages : en
Pages : 437

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Book Description
This text provides an application oriented introduction to the numerical methods for partial differential equations. It covers finite difference, finite element, and finite volume methods, interweaving theory and applications throughout. The book examines modern topics such as adaptive methods, multilevel methods, and methods for convection-dominated problems and includes detailed illustrations and extensive exercises.

Progress in Partial Differential Equations

Progress in Partial Differential Equations PDF Author: Herbert Amann
Publisher: CRC Press
ISBN: 9780582317093
Category : Mathematics
Languages : en
Pages : 228

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Book Description
The numerous applications of partial differential equations to problems in physics, mechanics, and engineering keep the subject an extremely active and vital area of research. With the number of researchers working in the field, advances-large and small-come frequently. Therefore, it is essential that mathematicians working in partial differential equations and applied mathematics keep abreast of new developments. Progress in Partial Differential Equations, presents some of the latest research in this important field. Both volumes contain the lectures and papers of top international researchers contributed at the Third European Conference on Elliptic and Parabolic Problems. In addition to the general theory of elliptic and parabolic problems, the topics covered at the conference include: applications free boundary problems fluid mechanics ogeneral evolution problems calculus of variations ohomogenization omodeling numerical analysis. The research notes in these volumes offer a valuable update on the state-of-the-art in this important field of mathematics.

Progress in Partial Differential Equations The Metz Surveys 2

Progress in Partial Differential Equations The Metz Surveys 2 PDF Author: Michel Chipot
Publisher: CRC Press
ISBN: 9780582227699
Category : Mathematics
Languages : en
Pages : 254

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Book Description
This volume presents papers from the conferences given at the University of Metz in 1992, and presents some recent advances in various important domains of partial differential equations and applied mathematics. A special attempt has been made to make this work accessible to young researchers and non-specialists.

Progress in Partial Differential Equations

Progress in Partial Differential Equations PDF Author: Michel Chipot
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 220

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Book Description
This Research Note presents some recent advances in three important domains of partial differential equations and applied mathematics: calculus of variations, exact controllability and numerical analysis. These topics are now part of various areas of science and have experienced tremendous development during the last decades. Interconnections within these different areas are also presented in particular for the numerical analysis of problems in calculus of variations and applications to mechanics. Readership: a special attempt has been made to make the results and techniques presented here accessible to young researchers and non-specialists. This book should interest not only experts in partial differential equations but also graduate students, applied mathematicians and computer users.

Higher Order Partial Differential Equations in Clifford Analysis

Higher Order Partial Differential Equations in Clifford Analysis PDF Author: Elena Obolashvili
Publisher: Springer Science & Business Media
ISBN: 1461200156
Category : Mathematics
Languages : en
Pages : 183

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Book Description
Parabolic equations in this framework have been largely ignored and are the primary focus of this work.; This book will appeal to mathematicians and physicists in PDEs who are interested in boundary and initial value problems, and may be used as a supplementary text by graduate students.

Pseudodifferential Operators and Nonlinear PDE

Pseudodifferential Operators and Nonlinear PDE PDF Author: Michael Taylor
Publisher: Springer Science & Business Media
ISBN: 9780817635954
Category : Mathematics
Languages : en
Pages : 234

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Book Description
For the past 25 years the theory of pseudodifferential operators has played an important role in many exciting and deep investigations into linear PDE. Over the past decade, this tool has also begun to yield interesting results in nonlinear PDE. This book is devoted to a summary and reconsideration of some used of pseudodifferential operator techniques in nonlinear PDE. The book should be of interest to graduate students, instructors, and researchers interested in partial differential equations, nonlinear analysis in classical mathematical physics and differential geometry, and in harmonic analysis.

Progress in Partial Differential Equations

Progress in Partial Differential Equations PDF Author: Michael Reissig
Publisher: Springer Science & Business Media
ISBN: 3319001256
Category : Mathematics
Languages : en
Pages : 448

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Book Description
Progress in Partial Differential Equations is devoted to modern topics in the theory of partial differential equations. It consists of both original articles and survey papers covering a wide scope of research topics in partial differential equations and their applications. The contributors were participants of the 8th ISAAC congress in Moscow in 2011 or are members of the PDE interest group of the ISAAC society. This volume is addressed to graduate students at various levels as well as researchers in partial differential equations and related fields. The readers will find this an excellent resource of both introductory and advanced material. The key topics are: • Linear hyperbolic equations and systems (scattering, symmetrisers) • Non-linear wave models (global existence, decay estimates, blow-up) • Evolution equations (control theory, well-posedness, smoothing) • Elliptic equations (uniqueness, non-uniqueness, positive solutions) • Special models from applications (Kirchhoff equation, Zakharov-Kuznetsov equation, thermoelasticity)

Progress in Holomorphic Dynamics

Progress in Holomorphic Dynamics PDF Author: Hartje Kriete
Publisher: CRC Press
ISBN: 9780582323889
Category : Mathematics
Languages : en
Pages : 204

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Book Description
In the last few decades, complex dynamical systems have received widespread public attention and emerged as one of the most active fields of mathematical research. Starting where other monographs in the subject end, Progress in Holomorphic Dynamics advances the theoretical aspects and recent results in complex dynamical systems, with particular emphasis on Siegel discs. Organized into four parts, the papers in this volume grew out of three workshops: two hosted by the Georg-August-Universität Göttingen and one at the "Mathematisches Forschungsinstitut Oberwolfach." Part I addresses linearization. The authors review Yoccoz's proof that the Brjuno condition is the optimal condition for linearizability of indifferent fixed points and offer a treatment of Perez-Marco's refinement of Yoccoz's work. Part II discusses the conditions necessary for the boundary of a Siegel disc to contain a critical point, builds upon Herman's work, and offers a survey of the state-of-the-art regarding the boundaries of Siegel discs. Part III deals with the topology of Julia sets with Siegel discs and contains a remarkable highlight: C.L. Petersen establishes the existence of Siegel discs of quadratic polynomials with a locally connected boundary. Keller, taking a different approach, explains the relations between locally connected "real Julia sets" with Siegel discs and the abstract concepts of kneading sequences and itineraries. Part IV closes the volume with four papers that review the different directions of present research in iteration theory. It includes discussions on the relations between commuting rational functions and their Julia sets, interactions between the iteration of polynomials and the iteration theory of entire transcendental functions, a deep analysis of the topology of the limbs of the Mandelbrot set, and an overview of complex dynamics in higher dimensions.

Lectures on Bifurcations, Dynamics and Symmetry

Lectures on Bifurcations, Dynamics and Symmetry PDF Author: Michael J. Field
Publisher: CRC Press
ISBN: 1000657752
Category : Mathematics
Languages : en
Pages : 168

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Book Description
This book is an expanded version of a Master Class on the symmetric bifurcation theory of differential equations given by the author at the University of Twente in 1995. The notes cover a wide range of recent results in the subject, and focus on the dynamics that can appear in the generic bifurcation theory of symmetric differential equations. This text covers a wide range of current results in the subject of bifurcations, dynamics and symmetry. The style and format of the original lectures has largely been maintained and the notes include over 70 exercises.