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Author: Philippe Bénilan
Publisher: Longman
ISBN:
Category : Differential equations, Elliptic
Languages : en
Pages : 364
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Book Description
This volume collects most of the lectures and communications presented to the International Conference which took place in Nancy in March 1988. The main issues addressed were: nonlinear elliptic equations and systems, parabolic equations, time-dependent systems and the calculus of variations.
Author: Philippe Bénilan
Publisher: Longman
ISBN:
Category : Differential equations, Elliptic
Languages : en
Pages : 364
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Book Description
This volume collects most of the lectures and communications presented to the International Conference which took place in Nancy in March 1988. The main issues addressed were: nonlinear elliptic equations and systems, parabolic equations, time-dependent systems and the calculus of variations.
Author: Chiun-Chuan Chen
Publisher: World Scientific
ISBN: 9814480843
Category : Science
Languages : en
Pages : 284
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Book Description
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. It presents very up-to-date research on central issues of these problems such as maximal regularity, bubbling, blowing-up, bifurcation of solutions and wave interaction. The contributors are well known leading mathematicians and prominent young researchers. The proceedings have been selected for coverage in: • Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings) • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings) • CC Proceedings — Engineering & Physical Sciences Contents:Maximal Regularity and Quasilinear Parabolic Boundary Value Problems (H Amann)Remarks on the Two and Three Membranes Problem (J-F Rodrigues et al.)Bubbling and Criticality in Two and Higher Dimensions (M del Pino & M Musso)Blow Up Solutions for a Liouville Equation with Singular Data (P Esposito)Problems in Unbounded Cylindrical Domains (P Guidotti)Entire Solutions of Some Reaction-Diffusion on Equations (J-S Guo)Some Abelian Gauge Field Theories in the Self-dual and Nonself-dual Cases (J Han & N Kim)Ginzburg–Landau Equations on Non-uniform Media (S Kosugi)Finding the Elasticae by Means of Geometric Gradient Flows (C-C Lin & H R Schwetlick)Free Work Identity and Nonlinear Instability in Fluids with Free Boundaries (M Padula)Complete and Energy Blow-up in Superlinear Parabolic Problems (P Quittner)Non-stabilizing Solutions for a Supercritical Semilinear Parabolic Equation (E Yanagida)and other papers Readership: Graduate students and researchers in partial differential equations and mathematical physics. Keywords:Elliptic Equations;Parabolic Problems;Nonlinear Analysis;Partial Differential EquationsKey Features:Presents up-to-date research in many important and hot topicsWritten by first class researchers in related fieldsContains rich models arising from different fields
Author: Michel Chipot
Publisher: World Scientific
ISBN: 9812774173
Category : Mathematics
Languages : en
Pages : 302
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Book Description
This volume is a collection of articles discussing the most recent advances on various topics in partial differential equations. Many important issues regarding evolution problems, their asymptotic behavior and their qualitative properties are addressed. The quality and completeness of the articles will make this book a source of inspiration and references in the future. Contents: Steady Free Convection in a Bounded and Saturated Porous Medium (S Akesbi et al.); 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.); Note on the Asymptotic Behavior of Solutions to an Anisotropic Crystalline Curvature Flow (C Hirota et al.); A Reaction-Diffusion Approximation to a Cross-Diffusion System (M Iida et al.); Bifurcation Diagrams to an Elliptic Equation Involving the Critical Sobolev Exponent with the Robin Condition (Y Kabeya); Ginzburg-Landau Functional in a Thin Loop and Local Minimizers (S Kosugi & Y Morita); Singular Limit for Some Reaction Diffusion System (K Nakashima); Rayleigh-B(r)nard Convection in a Rectangular Domain (T Ogawa & T Okuda); Some Convergence Results for Elliptic Problems with Periodic Data (Y Xie); On Global Unbounded Solutions for a Semilinear Parabolic Equation (E Yanagida). Readership: Graduate students and researchers in partial differential equations and nonlinear science.
Author:
Publisher:
ISBN: 9814472999
Category :
Languages : en
Pages :
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Book Description
Author: C Bandle
Publisher: CRC Press
ISBN: 1000115275
Category : Mathematics
Languages : en
Pages : 272
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Book Description
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 engineering. These topics are now part of various areas of science and have experienced tremendous development during the last decades. -------------------------------------
Author: Pavol Quittner
Publisher: Springer Science & Business Media
ISBN: 3764384425
Category : Mathematics
Languages : en
Pages : 593
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Book Description
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 didactical preparation of the material. It is devoted to problems that are intensively studied but have not been treated thus far in depth in the book literature.
Author: C Bandle
Publisher: CRC Press
ISBN: 9780582239616
Category : Mathematics
Languages : en
Pages : 276
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Book Description
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 engineering. These topics are now part of various areas of science and have experienced tremendous development during the last decades. -------------------------------------
Author: Nikolaĭ Vladimirovich Krylov
Publisher: American Mathematical Soc.
ISBN: 082180569X
Category : Mathematics
Languages : en
Pages : 164
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Book Description
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 and extremely powerful ideas and some simple computations. 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. This book, containing 200 exercises, aims to provide a good understanding of what kind of results are available and what kinds of techniques are used to obtain them.
Author: Catherine Bandle
Publisher: Springer Science & Business Media
ISBN: 3764373849
Category : Mathematics
Languages : en
Pages : 466
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Book Description
Haim Brezis has made significant contributions in the fields of partial differential equations and functional analysis, and this volume collects contributions by his former students and collaborators in honor of his 60th anniversary at a conference in Gaeta. It presents new developments in the theory of partial differential equations with emphasis on elliptic and parabolic problems.
Author: Michel Chipot
Publisher: Springer Science & Business Media
ISBN: 3764373857
Category : Mathematics
Languages : en
Pages : 531
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Book Description
Celebrates the work of the renowned mathematician Herbert Amann, who had a significant and decisive influence in shaping Nonlinear Analysis. Containing 32 contributions, this volume covers a range of nonlinear elliptic and parabolic equations, with applications to natural sciences and engineering.
