Author: University of Minnesota. Institute for Mathematics and Its ApplicationsPublisher:
ISBN:
Category :
Languages : en
Pages : 12
Book Description
Spike-layers in Semilinear Elliptic Singular Perturbation Problems
Author: University of Minnesota. Institute for Mathematics and Its ApplicationsPublisher:
ISBN:
Category :
Languages : en
Pages : 12
Book Description
Perturbation Methods and Semilinear Elliptic Problems on R^n
Author: Antonio AmbrosettiPublisher: Springer Science & Business Media
ISBN: 3764373962
Category : Mathematics
Languages : en
Pages : 187
Book Description
Several important problems arising in Physics, Di?erential Geometry and other n topics lead to consider semilinear variational elliptic equations on R and a great deal of work has been devoted to their study. From the mathematical point of view, the main interest relies on the fact that the tools of Nonlinear Functional Analysis, based on compactness arguments, in general cannot be used, at least in a straightforward way, and some new techniques have to be developed. n On the other hand, there are several elliptic problems on R which are p- turbative in nature. In some cases there is a natural perturbation parameter, like inthe bifurcationfromthe essentialspectrum orinsingularlyperturbed equations or in the study of semiclassical standing waves for NLS. In some other circ- stances, one studies perturbations either because this is the ?rst step to obtain global results or else because it often provides a correct perspective for further global studies. For these perturbation problems a speci?c approach,that takes advantage of such a perturbative setting, seems the most appropriate. These abstract tools are provided by perturbation methods in critical point theory. Actually, it turns out that such a framework can be used to handle a large variety of equations, usually considered di?erent in nature. Theaimofthismonographistodiscusstheseabstractmethodstogetherwith their applications to several perturbation problems, whose common feature is to n involve semilinear Elliptic Partial Di?erential Equations on R with a variational structure.
Handbook of Differential Equations: Stationary Partial Differential Equations
Author: Michel ChipotPublisher: Elsevier
ISBN: 0080557317
Category : Mathematics
Languages : en
Pages : 618
Book Description
A collection of self contained state-of-the art surveys. The authors have made an effort to achieve readability for mathematicians and scientists from other fields, for this series of handbooks to be a new reference for research, learning and teaching. Written by well-known experts in the field Self contained volume in series covering one of the most rapid developing topics in mathematics Informed and thoroughly updated for students, academics and researchers
Variational Problems with Concentration
Author: Martin F. BachPublisher: Birkhäuser
ISBN: 303488687X
Category : Mathematics
Languages : en
Pages : 162
Book Description
This self-contained research monograph focuses on semilinear Dirichlet problems and similar equations involving the p-Laplacian. The author explains new techniques in detail, and derives several numerical methods approximating the concentration point and the free boundary. The corresponding plots are highlights of this book.
Singularly Perturbed Methods for Nonlinear Elliptic Problems
Author: Daomin CaoPublisher: Cambridge University Press
ISBN: 1108836836
Category : Mathematics
Languages : en
Pages : 263
Book Description
A systematic introduction to the singularly perturbed methods in the study of concentration solutions for nonlinear elliptic problems.
Qualitative Properties of Some Semilinear Elliptic Equations
Author: Juncheng WeiOn Spike Solutions of Singularly Perturbed Semilinear Dirichlet Problem
Author: Jaeduck JangDegenerate Diffusions
Author: Wei-Ming NiPublisher: Springer Science & Business Media
ISBN: 1461208858
Category : Mathematics
Languages : en
Pages : 234
Book Description
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". The aim of this workshop was to provide some focus in the study of degenerate diffusion equations, and by involving scientists and engineers as well as mathematicians, to keep this focus firmly linked to concrete problems. We thank Wei-Ming Ni, L.A. Peletier and J.L. Vazquez for organizing the meet ing. We especially thank Wei-Ming Ni for editing the proceedings. We also take this opportunity to thank those agencies whose financial support made the workshop possible: the Army Research Office, the National Science Foun dation, and the Office of Naval Research. A vner Friedman Willard Miller, Jr. PREFACE This volume is the proceedings of the IMA workshop "Degenerate Diffusions" held at the University of Minnesota from May 13 to May 18, 1991.
World Congress of Nonlinear Analysts '92
Author: V. LakshmikanthamPublisher: Walter de Gruyter
ISBN: 3110883236
Category : Mathematics
Languages : en
Pages : 4040
Book Description
Partial Differential Equations
Author: J. NecasPublisher: Routledge
ISBN: 1351425862
Category : Mathematics
Languages : en
Pages : 364
Book Description
As a satellite conference of the 1998 International Mathematical Congress and part of the celebration of the 650th anniversary of Charles University, the Partial Differential Equations Theory and Numerical Solution conference was held in Prague in August, 1998. With its rich scientific program, the conference provided an opportunity for almost 200 participants to gather and discuss emerging directions and recent developments in partial differential equations (PDEs). This volume comprises the Proceedings of that conference. In it, leading specialists in partial differential equations, calculus of variations, and numerical analysis present up-to-date results, applications, and advances in numerical methods in their fields. Conference organizers chose the contributors to bring together the scientists best able to present a complex view of problems, starting from the modeling, passing through the mathematical treatment, and ending with numerical realization. The applications discussed include fluid dynamics, semiconductor technology, image analysis, motion analysis, and optimal control. The importance and quantity of research carried out around the world in this field makes it imperative for researchers, applied mathematicians, physicists and engineers to keep up with the latest developments. With its panel of international contributors and survey of the recent ramifications of theory, applications, and numerical methods, Partial Differential Equations: Theory and Numerical Solution provides a convenient means to that end.