Progress in Elliptic and Parabolic Partial Differential Equations

Progress in Elliptic and Parabolic Partial Differential Equations PDF

Author: A Alvino

Publisher: CRC Press

Published: 1996-05-15

Total Pages: 236

ISBN-13: 9780582259706

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This Research Note collects reports of the invited plenary addresses given during the conference Elliptic and Parabolic Partial Differential Equations and Applications held in Capri, Italy, 19-23 September 1994. The conference was devoted to new developments in partial differential equations of elliptic and parabolic type and to their applications in various fields.

Numerical Methods for Elliptic and Parabolic Partial Differential Equations

Numerical Methods for Elliptic and Parabolic Partial Differential Equations PDF

Author: Peter Knabner

Publisher: Springer Science & Business Media

Published: 2006-05-26

Total Pages: 437

ISBN-13: 0387217622

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This text provides an application oriented introduction to the numerical methods for partial differential equations. It covers finite difference, finite element, and finite volume methods, interweaving theory and applications throughout. The book examines modern topics such as adaptive methods, multilevel methods, and methods for convection-dominated problems and includes detailed illustrations and extensive exercises.

Elliptic and Parabolic Problems

Elliptic and Parabolic Problems PDF

Author: Catherine Bandle

Publisher: Springer Science & Business Media

Published: 2006-01-17

Total Pages: 466

ISBN-13: 3764373849

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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.

Recent Advances in Nonlinear Elliptic and Parabolic Problems

Recent Advances in Nonlinear Elliptic and Parabolic Problems PDF

Author: Philippe Bénilan

Publisher: Longman

Published: 1989

Total Pages: 364

ISBN-13:

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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.

Nonlinear Elliptic and Parabolic Problems

Nonlinear Elliptic and Parabolic Problems PDF

Author: Michel Chipot

Publisher: Springer Science & Business Media

Published: 2006-02-09

Total Pages: 531

ISBN-13: 3764373857

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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.

Progress in Partial Differential Equations

Progress in Partial Differential Equations PDF

Author: Michael Reissig

Publisher: Springer Science & Business Media

Published: 2013-03-30

Total Pages: 448

ISBN-13: 3319001256

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Progress in Partial Differential Equations is devoted to modern topics in the theory of partial differential equations. It consists of both original articles and survey papers covering a wide scope of research topics in partial differential equations and their applications. The contributors were participants of the 8th ISAAC congress in Moscow in 2011 or are members of the PDE interest group of the ISAAC society. This volume is addressed to graduate students at various levels as well as researchers in partial differential equations and related fields. The readers will find this an excellent resource of both introductory and advanced material. The key topics are: • Linear hyperbolic equations and systems (scattering, symmetrisers) • Non-linear wave models (global existence, decay estimates, blow-up) • Evolution equations (control theory, well-posedness, smoothing) • Elliptic equations (uniqueness, non-uniqueness, positive solutions) • Special models from applications (Kirchhoff equation, Zakharov-Kuznetsov equation, thermoelasticity)

Progress in Partial Differential Equations

Progress in Partial Differential Equations PDF

Author: Herbert Amann

Publisher: CRC Press

Published: 1998-04-01

Total Pages: 212

ISBN-13: 9780582317086

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The numerous applications of partial differential equations to problems in physics, mechanics, and engineering keep the subject an extremely active and vital area of research. With the number of researchers working in the field, advances-large and small-come frequently. Therefore, it is essential that mathematicians working in partial differential equations and applied mathematics keep abreast of new developments. Progress in Partial Differential Equations, presents some of the latest research in this important field. Both volumes contain the lectures and papers of top international researchers contributed at the Third European Conference on Elliptic and Parabolic Problems. In addition to the general theory of elliptic and parabolic problems, the topics covered at the conference include: applications free boundary problems fluid mechanics general evolution problems ocalculus of variations homogenization modeling numerical analysis The research notes in these volumes offer a valuable update on the state-of-the-art in this important field of mathematics.

Recent Advances on Elliptic and Parabolic Issues

Recent Advances on Elliptic and Parabolic Issues PDF

Author: Michel Chipot

Publisher: World Scientific

Published: 2006

Total Pages: 302

ISBN-13: 9812774173

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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.

Elliptic and Parabolic Problems

Elliptic and Parabolic Problems PDF

Author: Catherine Bandle

Publisher: Birkhäuser

Published: 2009-09-03

Total Pages: 470

ISBN-13: 9783764390679

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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.