Book Description
Originally published: Boston: Pitman Advanced Pub. Program, 1985.
Author : Pierre Grisvard
Publisher : SIAM
Page : 426 pages
File Size : 25,37 MB
Release : 2011-10-20
Category : Mathematics
ISBN : 1611972027
Originally published: Boston: Pitman Advanced Pub. Program, 1985.
Author : Pierre Grisvard
Publisher :
Page : 350 pages
File Size : 43,82 MB
Release : 1980
Category : Boundary value problems
ISBN :
Author : Martin Costabel
Publisher : CRC Press
Page : 320 pages
File Size : 26,44 MB
Release : 1994-10-25
Category : Mathematics
ISBN : 9780824793203
Based on the International Conference on Boundary Value Problems and lntegral Equations In Nonsmooth Domains held recently in Luminy, France, this work contains strongly interrelated, refereed papers that detail the latest findings in the fields of nonsmooth domains and corner singularities. Two-dimensional polygonal or Lipschitz domains, three-dimensional polyhedral corners and edges, and conical points in any dimension are examined.
Author : Michail Borsuk
Publisher : Elsevier
Page : 538 pages
File Size : 15,56 MB
Release : 2006-01-12
Category : Mathematics
ISBN : 0080461735
The book contains a systematic treatment of the qualitative theory of elliptic boundary value problems for linear and quasilinear second order equations in non-smooth domains. The authors concentrate on the following fundamental results: sharp estimates for strong and weak solutions, solvability of the boundary value problems, regularity assertions for solutions near singular points. Key features: * New the Hardy – Friedrichs – Wirtinger type inequalities as well as new integral inequalities related to the Cauchy problem for a differential equation.* Precise exponents of the solution decreasing rate near boundary singular points and best possible conditions for this.* The question about the influence of the coefficients smoothness on the regularity of solutions.* New existence theorems for the Dirichlet problem for linear and quasilinear equations in domains with conical points.* The precise power modulus of continuity at singular boundary point for solutions of the Dirichlet, mixed and the Robin problems.* The behaviour of weak solutions near conical point for the Dirichlet problem for m – Laplacian.* The behaviour of weak solutions near a boundary edge for the Dirichlet and mixed problem for elliptic quasilinear equations with triple degeneration. * Precise exponents of the solution decreasing rate near boundary singular points and best possible conditions for this.* The question about the influence of the coefficients smoothness on the regularity of solutions.* New existence theorems for the Dirichlet problem for linear and quasilinear equations in domains with conical points.* The precise power modulus of continuity at singular boundary point for solutions of the Dirichlet, mixed and the Robin problems.* The behaviour of weak solutions near conical point for the Dirichlet problem for m - Laplacian.* The behaviour of weak solutions near a boundary edge for the Dirichlet and mixed problem for elliptic quasilinear equations with triple degeneration.
Author : Martin Costabel
Publisher :
Page : 298 pages
File Size : 22,1 MB
Release : 1995
Category :
ISBN :
Author : Vladimir Kozlov
Publisher : American Mathematical Soc.
Page : 426 pages
File Size : 27,76 MB
Release : 1997
Category : Mathematics
ISBN : 0821807544
For graduate students and research mathematicians interested in partial differential equations and who have a basic knowledge of functional analysis. Restricted to boundary value problems formed by differential operators, avoiding the use of pseudo- differential operators. Concentrates on fundamental results such as estimates for solutions in different function spaces, the Fredholm property of the problem's operator, regularity assertions, and asymptotic formulas for the solutions of near singular points. Considers the solutions in Sobolev spaces of both positive and negative orders. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Jun Geng
Publisher :
Page : 154 pages
File Size : 45,56 MB
Release : 2011
Category :
ISBN :
Author : Gilles Frémiot
Publisher :
Page : 148 pages
File Size : 26,87 MB
Release : 2009
Category : Boundary value problems
ISBN :
Author : Sergey Nazarov
Publisher : Walter de Gruyter
Page : 537 pages
File Size : 37,2 MB
Release : 2011-06-01
Category : Mathematics
ISBN : 3110848910
The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
Author : Filippo Gazzola
Publisher : Springer
Page : 444 pages
File Size : 14,66 MB
Release : 2010-05-26
Category : Mathematics
ISBN : 3642122450
This accessible monograph covers higher order linear and nonlinear elliptic boundary value problems in bounded domains, mainly with the biharmonic or poly-harmonic operator as leading principal part. It provides rapid access to recent results and references.