6 edition of **Nonlinear Elliptic and Parabolic Problems** found in the catalog.

- 13 Want to read
- 7 Currently reading

Published
**December 14, 2005**
by Birkhauser
.

Written in English

- Differential Equations,
- Science/Mathematics,
- Mathematical Analysis,
- Mathematics,
- Linear Programming,
- Number Systems,
- Calculus of variations,
- Functional analysis,
- Mathematics / Mathematical Analysis,
- Navier-Stokes equations,
- Numerical analysis,
- Partial differential equations,
- Differential equations, Elliptic,
- Differential equations, Parabolic,
- Differential equations, Partial

**Edition Notes**

Contributions | Michel Chipot (Editor), Joachim Escher (Editor) |

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 536 |

ID Numbers | |

Open Library | OL9090985M |

ISBN 10 | 3764372664 |

ISBN 10 | 9783764372668 |

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. 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 problem for.

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. Most of the auxiliary results, such as Aleksandrov's elliptic and parabolic estimates, the Krylov-Safonov and the Evans-Krylov theorems, are. Problems from Another Time; Conference Calendar; Guidelines for Convergence Authors; MAA FOCUS; Math Horizons; Submissions to MAA Periodicals; Guide for Referees; MAA Press (an imprint of the AMS) MAA Notes; MAA Reviews. Browse; MAA Library Recommendations; Additional Sources for Math Book Reviews; About MAA Reviews; Mathematical Communication.

Titles in planning include Lucio Damascelli and Filomena Pacella, Morse Index of Solutions of Nonlinear Elliptic Equations ()Tomasz W. Dlotko and Yejuan Wang, Critical Parabolic-Type Problems ()Rafael Ortega, Periodic Differential Equations in the Plane: A Topological Perspective ()Ireneo Peral Alonso and Fernando Soria, Elliptic. Building Solutions to Nonlinear Elliptic and Parabolic Partial Diﬀerential Equations Adam Oberman University of Texas, Austin of successive approximation to obtain solutions of nonlinear problems which were mild perturbations of uniquely solvable linear problems. “degenerate elliptic” includes parabolic: degenerate in t var.

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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.

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 Format: Hardcover. 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. Buy Regularity Estimates for Nonlinear Elliptic and Parabolic Problems: Cetraro, Italy (Lecture Notes in Mathematics, Vol. / C.I.M.E. Foundation Subseries) on Author: John Lewis, Ugo Gianazza. Nonlinear elliptic-parabolic problems Inwon C.

Kim and Norbert Po z ary Abstract We introduce a notion of viscosity solutions for a Nonlinear Elliptic and Parabolic Problems book class of elliptic-parabolic phase transition problems. These include the Richards equation, which is a classical model in ltration theory.

Existence and uniqueness results are proved via the com-parison. Mannucci and J. Vazquez, Viscosity solutions for elliptic-parabolic problems, NoDEA Nonlinear Differential Equations Appl.

14 (), no., DOI /s MR Singular Phenomena in Nonlinear Elliptic Problems: From Blow-Up Boundary Solutions to Equations with Singular Nonlinearities. Stationary Partial Differential Equations, () MULTIPLICITY OF POSITIVE SOLUTIONS FOR A SINGULAR AND CRITICAL ELLIPTIC PROBLEM IN ℝ by: We introduce a notion of viscosity solutions for a general class of elliptic–parabolic phase transition problems.

These include the Richards equation, which is a classical model in filtration theory. Existence and uniqueness results are proved via the comparison principle.

In particular, we show existence and stability properties of maximal and minimal viscosity solutions for a general class Cited by: Regularity Estimates for Nonlinear Elliptic and Parabolic Problems Cetraro, Italy Regularity Estimates for Nonlinear Elliptic and Parabolic Problems Book Subtitle Cetraro, Italy Authors.

*immediately available upon purchase as print book shipments may be delayed due to the COVID crisis. ebook access is temporary and. 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.

Celebrating the work of a renowned mathematician, it is our pleasure to present this volume containing the proceedings of the conference Nonlinear Elliptic and Parabolic Problems: A Special Tribute to the Work of Herbert Amann, held in Zurich, June 28 30, Herbert Amann had a signi?cant and decisive impact in developing N- linear Analysis and one goal of this conference was to re?ect his Book Edition: ISBN: OCLC Number: Notes: "Notes of the CIME course 'Regularity Estimates for Nonlinear Elliptic and Parabolic Problems' held in Cetraro (Italy) on June"--Preface.

In response to the growing use of reaction diffusion problems in many fields, this monograph gives a systematic treatment of a class of nonlinear parabolic and elliptic differential equations and their applications these problems.

It is an important reference for mathematicians and engineers, as well as a practical text for graduate students. Nonlinear elliptic and parabolic problems: a special tribute to the work of Herbert Amann. [M Chipot; Joachim Escher;] From the reviews:"This book is a collection of 32 articles and is meant as a special tribute to the work of H.

Amann of the University Zuerich on the occasion of his retirement. Home» MAA Publications» MAA Reviews» Nonlinear Elliptic and Parabolic Problems: Nonlinear Elliptic and Parabolic Problems: A Special Tribute to the Work of Herbert Amann.

Michel Chipot, and Joachim Escher, editors Nonlinear Singular Elliptic Problems. 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. SEMILINEAR ELLIPTIC PROBLEMS bifurcation from a simple eigenvalue and connects with the previous book A Primer of Nonlinear Analysis [20], of which the present book is a follow Nonlinear Analysis and Semilinear Elliptic Problems Antonio Ambrosetti.

Regularity Estimates for Nonlinear Elliptic and Parabolic Problems ebook.» Download Regularity Estimates for Nonlinear Elliptic and Parabolic Problems PDF «Our online web service was introduced with a hope to serve as a complete on the internet computerized collection which offers entry to multitude of PDF document collection.

On a Singular Nonlinear Semilinear Elliptic Problem Article (PDF Available) in Proceedings of the Royal Society of Edinburgh Section A Mathematics (6) October with Reads.

This chapter discusses generalized degree and nonlinear problems. It explains the use of some topological techniques in solving nonlinear problems. Select Gradient Estimates for Solutions of Nonlinear Elliptic and Parabolic Equations.

Contributions to Nonlinear Functional Analysis contains the proceedings of a Symposium on Nonlinear. Daniel Daners, in Handbook of Differential Equations: Stationary Partial Differential Equations, Abstract. This is a survey on elliptic boundary value problems on varying domains and tools needed for that.

Such problems arise in numerical analysis, in shape optimisation problems and in the investigation of the solution structure of nonlinear elliptic equations. In response to the growing use of reaction diffusion problems in many fields, this monograph gives a systematic treatment of a class of nonlinear parabolic and elliptic differential equations and their applications these problems.

It is an important reference for mathematicians and engineers, as well as a practical text for graduate : In mathematics, an elliptic boundary value problem is a special kind of boundary value problem which can be thought of as the stable state of an evolution example, the Dirichlet problem for the Laplacian gives the eventual distribution of heat in a room several hours after the heating is turned on.

Differential equations describe a large class of natural phenomena, from the heat.