12 edition of Elliptic and parabolic problems found in the catalog.
Includes bibliographical references.
|Statement||Catherine Bandle ... [et al.], editors.|
|Series||Progress in nonlinear differential equations and their applications -- v. 63|
|Contributions||Brézis, H., Bandle, Catherine, 1943-|
|LC Classifications||QA371 .E365 2005|
|The Physical Object|
|Pagination||viii, 470 p. :|
|Number of Pages||470|
|LC Control Number||2005048333|
This book provides an introduction to elliptic and parabolic equations. While there are numerous monographs focusing separately on each kind of equations, there are very few books treating these two kinds of equations in combination. This book concentrates on first boundary-value problems for fully nonlinear second-order uniformly elliptic and parabolic equations with discontinuous coefficients. We look for solutions in Sobolev classes, local or global, or for viscosity solutions.
Home» MAA Publications» MAA Reviews» Nonlinear Elliptic and Parabolic Problems: Nonlinear Elliptic and Parabolic Problems: A Special Tribute to the Work of Herbert Amann. Grow-up on the Boundary for a Semilinear Parabolic Problem Open Library is an open, editable library catalog, building towards a web page for every book ever published. Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems by Jürgen Fuhrmann, Mario Ohlberger, Christian Rohde; 2 .
The book is an account on recent advances in elliptic and parabolic problems and related equations, including general quasi-linear equations, variational structures, Bose-Einstein condensate, Chern-Simons model, geometric shell theory and stability in fluids. This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, physics and biology.
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This book unifies the different approaches in studying elliptic and parabolic partial differential equations with discontinuous coefficients.
To the enlarging market of researchers in applied sciences, mathematics and physics, it gives concrete answers to questions suggested by non-linear models. Elliptic and Parabolic Problems A Special Tribute to the Work of Haim Brezis. Editors: Bandle, C., Berestycki Hardy Potentials and Quasi-linear Elliptic Problems Having Natural Growth Terms.
Pages Boccardo, Lucio. Elliptic and Parabolic Problems Book Subtitle A Special Tribute to the Work of Haim Brezis Editors. Most articles published in this book, which consists of 32 articles in total, written by highly distinguished researchers, are in one way or another related to the scientific works of Herbert Amann.
The contributions cover a wide range of nonlinear elliptic and parabolic equations with applications to natural sciences and engineering. This book concentrates on first boundary-value problems for fully nonlinear second-order uniformly elliptic and parabolic equations with discontinuous coefficients.
We look for solutions in Sobolev classes, local or global, or for viscosity solutions. The book is divided into three parts: Part I focuses on the application of DG to second order elliptic problems in one dimension first and then in higher dimensions.
In Part II, the time-dependent parabolic problems (without and with convection) are presented. This Research Note presents some recent advances in various important domains of partial differential equations and applied mathematics including equations and systems of elliptic and parabolic type and various applications in physics,mechanics and topics are now part of various ar.
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This book provides an overview of the state of the art in important subjects, including — besides elliptic and parabolic issues — geometry, free boundary problems, fluid mechanics, evolution problems in general, calculus of variations, homogenization, control, modeling and numerical analysis.
Contents: Rolduc. In parabolic and hyperbolic equations, characteristics describe lines along which information about the initial data travels. Since elliptic equations have no real characteristic curves, there is no meaningful sense of information propagation for elliptic equations. This makes elliptic equations better suited to describe static, rather than.
Amann, Nonhomogeneous Linear and Quasilinear Elliptic and Parabolic Boundary Value Problems, Function Spaces, Differential Operators and Nonlinear Analysis, Teubner-Texte zur Math.
Vol. 9 Author: Patrick Guidotti. This book offers an ideal graduate-level introduction to the theory of partial differential equations. The first part of the book describes the basic mathematical problems and structures associated with elliptic, parabolic, and hyperbolic partial differential equations, and explores the connections between these fundamental types.
Publisher Summary. This chapter describes techniques for elliptic problems on vector processors. It discusses the variation in performance that can occur on a vector processor as a function of algorithm and implementation, the consequences of this variation, and the performance of some basic operators on the two classes of vector architecture.
ISBN: OCLC Number: Notes: "Lectures given during the Second European Conference on Elliptic and Parabolic Problems (Pont-à-Mousson, June, )"--Preface.
Elliptic Problems in Nonsmooth Domains • provides a careful and self-contained development of Sobolev spaces on nonsmooth domains, • develops a comprehensive theory for second-order elliptic boundary value problems, and • addresses fourth-order boundary value problems and numerical treatment of singularities.
Elliptic and Parabolic Problems: A Special Tribute to the Work of Haim Brezis Catherine Bandle, Henri Berestycki, Bernhard Brighi, Alain Brillard, Michel Chipot, Jean-Michel Coron, Carlo Sbordone, Itai Shafrir, Vanda Valente, and Giorgio Vergara Caffarelli, editors.
Clearly, one can add yet another extension by considering 18 2 Maximum Principles in Elliptic and Parabolic Problems functions u satisfying the inequality Lu + h(x)u 2 0 h(x) I 0 in D, in D.
() () with L as in () and a bounded function h(x) satisfying As a final result in this section, we state the following theorem.
These lectures concentrate on fundamentals of the modern theory of linear elliptic and parabolic equations in H older spaces. Krylov shows that this theory - including some issues of the theory of nonlinear equations - is based on some general /5(6). Full Description: "Most books on elliptic and parabolic equations emphasize existence and uniqueness of solutions.
By contrast, this book focuses on the qualitative properties of solutions. In addition to the discussion of classical results for equations with smooth coefficients (Schauder estimates and the solvability of the Dirichlet problem for elliptic equations; the Dirichlet.
Book Title:Numerical Methods for Elliptic and Parabolic Partial Differential Equations This book covers numerical methods for partial differential equations: discretization methods such as finite difference, finite volume and finite element methods solution methods for linear and nonlinear systems of equations and grid generation.
Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations: Theory and Implementation is divided into three parts: Part I focuses on the application of DG methods to second order elliptic problems in one dimension and in higher dimensions.Elliptic problems in a bounded region.
Apriori estimates § 5. Elliptic problems in a bounded region. Existence theorem § 6. Generalizations, variants, consequencesChapter II. Mixed parabolic.The main object of study is the first boundary-value problems for elliptic and parabolic equations, with some guidelines concerning other boundary-value problems such as the Neumann or oblique derivative problems or problems involving higher-order elliptic operators acting on the boundary.
Numerical approximations are also discussed.