3 edition of **Nonlocal elliptic and parabolic problems** found in the catalog.

Nonlocal elliptic and parabolic problems

- 282 Want to read
- 12 Currently reading

Published
**2004** by Institute of Mathematics, Polish Academy of Sciences in Warszawa .

Written in English

- Differential equations, Elliptic -- Congresses,
- Differential equations, Parabolic -- Congresses

**Edition Notes**

Includes bibliographical references.

Statement | editors of the volume, Piotr Biler, Grzegorz Karch, Tadeusz Nadzieja. |

Genre | Congresses. |

Series | Banach Center Publications -- v. 66 |

Contributions | Biler, Piotr, 1958-, Karch, Grzegorz., Nadzieja, Tadeusz, 1951- |

Classifications | |
---|---|

LC Classifications | QA370 .N666 2004 |

The Physical Object | |

Pagination | 351 p. : |

Number of Pages | 351 |

ID Numbers | |

Open Library | OL16254897M |

LC Control Number | 2005473582 |

Basic estimates for solutions of nonlocal elliptic and parabolic equations Ana Primo Universidad Aut onoma de Madrid [email protected] Abstract. We study the following problems. Richter T, Springer A and Vexler B () Efficient numerical realization of discontinuous Galerkin methods for temporal discretization of parabolic problems, Numerische Mathematik, , (), Online publication date: 1-May

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Nonlocal elliptic and parabolic problems: proceedings of the conference held at Będlewo, September Abstract.

We study a class of quasilinear parabolic equations with nonlocal initial conditions. The initial conditions are a generalization of periodicity with respect to time and include conditions studied by other authors, which can be used to study inverse problems and problems arising in Cited by: 3.

New Tools for Nonlocal Elliptic Problems Mini-Course @ Winter SchoolSt. Etienne de Tin ee Enno Lenzmann1 Department of Mathematics University of Basel February 4, 1Joint work with Rupert Frank (CalTech) and Luis Silvestre (Chicago) E.

Lenzmann Mini-Course Nonlocal Elliptic Problems. Nonlocal solutions of parabolic equations with strongly elliptic differential operators Preprint (PDF Available) September with Reads How we measure 'reads'.

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.

On a Class of Intermediate Local-Nonlocal Elliptic Problems Article (PDF Available) in Topological methods in nonlinear analysis 48(1) September with Reads How we measure 'reads'. Abstract. The abstract nonlocal boundary value problem for differential equations in a Hilbert space with the self-adjoint positive definite operator is considered.

The well-posedness of this problem in Hölder spaces with a weight is established. The coercivity inequalities for the solution of boundary value problems for elliptic-parabolic equations are by: A.

Ashyralyev and O. Gercek, “Nonlocal boundary value problems for elliptic-parabolic differential and difference equations,” Discrete Dynamics in Nature and Society, vol.Article ID16 pages, View at: Publisher Site | Google ScholarCited by: 9. () On the Convergence of a Class of Nonlocal Elliptic Equations and Related Optimal Design Problems.

Journal of Optimization Theory and Applications() Nonlocal optimal design: A new perspective about the approximation of solutions in optimal by: 5. On some nonlocal elliptic and parabolic equations by Tianling Jin Dissertation Director: YanYan Li We prove some results on the existence and compactness of solutions of a fractional Nirenberg problem involving nonlocal conformally invariant operators.

Regularity prop-erties for solutions of some degenerate elliptic equations as well as a. Sign-changing solutions of a class of nonlocal quasilinear elliptic boundary value problems (). ferences 1] M. Chipot, B. Lovat, Some remarks on nonlocal elliptic and parabolic problems, Nonlinear Anal.

30 (7) () â€“ 2] G. Kirchhoff, Mechanik, Teubner, Leipzig, 3] S. Bernstein, Sur une classe dâ€™Ã©quations Cited by: remarks on some class of nonlocal elliptic problems M. CHIPOT Institut für Mathematik, Universität Zürich, Winterthurerstr.CH– Zürich, Switzerland.

Ashyralyev, O. GercekOn second order of accuracy difference scheme of the approximate solution of nonlocal elliptic–parabolic problems. Abstr. Appl. Anal. (), pp. Google Scholar. Bazarov, H. Soltanov, Some Local and Nonlocal Boundary Value Problems for Equations of Mixed and Mixed-Composite Types, Ylim, Ashgabat, Turkmenistan Cited by: 9.

The problems of the obstacle in lower dimension and for the fractional Laplacian. In Regularity Estimates for Nonlinear Elliptic and Parabolic Problems (Lecture Notes in Math.

Springer, Heidelberg,pp. –Cited by: Description We prove some results on the existence and compactness of solutions of a fractional Nirenberg problem involving nonlocal conformally invariant operators. Regularity properties for solutions of some degenerate elliptic equations as well as a Liouville type theorem are established, and used in our blow up analysis.

The nonlocal boundary value problem for the elliptic-parabolic equation du t dt Au t f t, 0. 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.

Quasilinear Parabolic Functional Evolution Equations (H Amann) A Linear Parabolic Problem with Non-Dissipative Dynamical Boundary Conditions (C Bandle & W Reichel) Remarks on Some Class of Nonlocal Elliptic Problems (M Chipot) On Some Definitions and Properties of Generalized Convex Sets Arising in the Calculus of Variations (B Dacorogna et al.).

nonlocal operator Ls will be established in Section 3. In Section 4, we will show that the nonlocal problem in Rn is related to a extension degenerate local elliptic problem in Rn×(0,∞), which was ﬁrst characterized by [42].

We also introduce suitable regularity results for the nonlocal operator Ls in Rn, and its extension operatorin Rn.

(1) `cnica de Catalunya Universitat Polite ` tica Aplicada Programa de Doctorat de Matema ` tica Aplicada I Departament de Matema. Elliptic and parabolic PDEs: regularity for nonlocal diffusion equations and two isoperimetric problems. by Joaquim Serra. PhD dissertation Advisor: Xavier Cabr´e Barcelona, June The problems of the obstacle in lower dimension and for the fractional Laplacian.

In Regularity Estimates for Nonlinear Elliptic and Parabolic Problems (Lecture Notes in Math. Springer, Heidelberg,pp. – 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. We consider a unique solvability of nonlocal elliptic problems in infinite cylinder in weighted spaces and in Hölder spaces.

Using these results we prove the existence and uniqueness of classical solution for the Vlasov--Poisson equations with nonlocal conditions in infinite cylinder for sufficiently small initial by: 5.

Generalized Solutions of Nonlocal Elliptic Problems Pavel Gurevich ∗ Abstract An elliptic equation of order 2m with general nonlocal boundary-value conditions, in a plane bounded domain G with piecewise smooth boundary, is considered.

Generalized solutions belonging to the Sobolev space Wm 2 (G) are studied. The Fredholm property of the unbounded. We study a class of quasilinear parabolic equations with nonlocal initial conditions.

The initial conditions are a generalization of periodicity with respect to time and include conditions studied by other authors, which can be used to study inverse problems and Author: Gary Lieberman. Get this from a library. Superlinear parabolic problems: blow-up, global existence and steady states.

[P Quittner; Philippe Souplet] -- "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. On the Second Order of Accuracy Stable Implicit Difference Scheme for Elliptic-Parabolic Equations Ashyralyev, Allaberen and Gercek, Okan, Abstract and Applied Analysis, The consistency conditions and the smoothness of generalized solutions of nonlocal elliptic problems Gurevich, Pavel, Advances in Differential Equations, Cited by: some results for nonlocal elliptic and parabolic nonlinear equations tesis para optar al grado de doctor en ciencias de la ingenier ia, menci on modelaci on matem atica en cotutela con la universit e franc ois rabelais erwin maximiliano topp paredes.

profesor gu ia 1: patricio luis felmer aichele profesor gu ia 2: guy barles miembros de la. On a Class of Intermediate Local-Nonlocal Elliptic Problems Claudianor O. Alves & Francisco Julio S. Corr^ea y Universidade Federal de Campina Grande Unidade Acad^emica de Matem atica CEP:Campina Grande - Pb, Brazil.

e-mail: [email protected] & [email protected] Michel Chipot z Institute for mathematics Cited by: 3. the approximate solution of nonlocal problems for elliptic [28– 31], elliptic–parabolic [32], hyperbolic [33,34], or hyperbolic– parabolic [35] equations with multipoint or Bitsadze–Samarskii nonlocal boundary conditions.

The paper [36] presents an e -cient way of implementing general multipoint constraint condi. In this paper we study the following nonlocal elliptic problem: (1) ’= M f(’) (R f(’))p; (2) ’j @ = 0: Here ’:!IRis an unknown function from a bounded subdomain of IRn into IR, f: IRn!IR+ is a given function and M>0, p>0 are real parameters.

The physical motivations for the study of nonlocal elliptic problems come from sta. Advances in Nonlinear Elliptic and Parabolic PDEs from local to nonlocal problems Wrocław, 17–20 September and young researchers to interact and expose recent developments on topics in the thriving field of nonlinear and nonlocal, elliptic and parabolic Partial Differential Equations.

In this field there are many interesting open. () Finite Element Scheme with Crank–Nicolson Method for Parabolic Nonlocal Problems Involving the Dirichlet Energy. International Journal of Computational Methods() An H 1 -Galerkin Mixed Finite Element Approximation of a Nonlocal Hyperbolic by: NONLOCAL NONLINEAR ELLIPTIC PROBLEMS On the operator A, we assume that, for each a G IRm: A (o-) is a strictly monotone, bounded, hemicontinuous operator from V into V * () We recall that by strict monotonicity we mean: (A (er) v - A (a) w, v - w) > 0, Vu, w e V, v ^ w.

Moreover, we assume the following continuity properties on the Cited by: for elliptic-parabolic equations are obtained and a numerical example is presented.

Introduction The role played by coercive inequalities in the study of boundary value problems for elliptic and parabolic partial diﬀerential equations is well known see 1–4. Nonlocal problems are widely used for mathematical modeling of various processes.

Several types of problems in fluid mechanics, other areas of physics, and mathematical biology led to partial differential equations of elliptic-parabolic type (see, [14–18]).

The purpose of this paper is to study the second order of accuracy difference schemes of elliptic-parabolic problem with nonlocal boundary value : Okan Gercek, Allaberen Ashyralyev. This book, which is a new edition of a book originally published inpresents an introduction to the theory of higher-order elliptic boundary value problems.

The book contains a detailed study of basic problems of the theory, such as the problem of existence and regularity of solutions of higher-order elliptic boundary value by: 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. parabolic problems. As for parabolic problems, we study the questions of local and global existence, a priori estimates and universal bounds, blow-up, asymptotic be-havior of global and nonglobal solutions.

The study of superlinear parabolic and elliptic equations and systems has at-tracted the attention of many mathematicians during the past File Size: 4MB. Deng W, Li Y, Xie C: Blow-up and global existence for a nonlocal degenerate parabolic system. Journal of Mathematical Analysis and Applications(1) /SX(02) ArticleCited by: 1.

EXISTENCE, UNIQUENESS AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR SOME NONLOCAL SINGULAR ELLIPTIC PROBLEMS BAOQIANG YAN, QIANQIAN REN Communicated by Claudianor Alves Abstract. In this article, using the sub-supersolution method and Rabinowitz-type global bifurcation theory, we prove some results on existence, uniqueness.Some remarks on non local elliptic and parabolic problems: M.

Chipot, -B. Lovat: Pages: Solution of degenerate parabolic systems by relaxation schemes: Jozef Kačur: Pages: Self-similar subsolutions and blow-up for nonlinear parabolic equations: Philippe Souplet, Fred B.

Weissler: Pages: Global dynamics of 2D Cited by: 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.

The book is self-contained and up-to-date, taking special care on the.