Blow-up Theories for Semilinear Parabolic Equations

Blow-up Theories for Semilinear Parabolic Equations PDF Author: Bei Hu
Publisher: Springer Science & Business Media
ISBN: 3642184596
Category : Mathematics
Languages : en
Pages : 137

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Book Description
There is an enormous amount of work in the literature about the blow-up behavior of evolution equations. It is our intention to introduce the theory by emphasizing the methods while seeking to avoid massive technical computations. To reach this goal, we use the simplest equation to illustrate the methods; these methods very often apply to more general equations.

Blow-up Theories for Semilinear Parabolic Equations

Blow-up Theories for Semilinear Parabolic Equations PDF Author: Bei Hu
Publisher: Springer Science & Business Media
ISBN: 3642184596
Category : Mathematics
Languages : en
Pages : 137

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Book Description
There is an enormous amount of work in the literature about the blow-up behavior of evolution equations. It is our intention to introduce the theory by emphasizing the methods while seeking to avoid massive technical computations. To reach this goal, we use the simplest equation to illustrate the methods; these methods very often apply to more general equations.

Complete Blow-up for a Semilinear Parabolic Equation

Complete Blow-up for a Semilinear Parabolic Equation PDF Author:
Publisher:
ISBN: 9789741734337
Category : Differential equations, Parabolic
Languages : en
Pages :

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Book Description


Blow-Up in Quasilinear Parabolic Equations

Blow-Up in Quasilinear Parabolic Equations PDF Author: A. A. Samarskii
Publisher: Walter de Gruyter
ISBN: 3110889862
Category : Mathematics
Languages : en
Pages : 561

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Book Description
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 Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Higher Dimensional Blow Up for Semilinear Parabolic Equations

Higher Dimensional Blow Up for Semilinear Parabolic Equations PDF Author: University of Minnesota. Institute for Mathematics and Its Applications
Publisher:
ISBN:
Category :
Languages : en
Pages : 28

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Book Description


An Introduction to Semilinear Evolution Equations

An Introduction to Semilinear Evolution Equations PDF Author: Thierry Cazenave
Publisher: Oxford University Press
ISBN: 9780198502777
Category : Computers
Languages : en
Pages : 204

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Book Description
This book presents in a self-contained form the typical basic properties of solutions to semilinear evolutionary partial differential equations, with special emphasis on global properties. It has a didactic ambition and will be useful for an applied readership as well as theoretical researchers.

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations PDF Author: Victor A. Galaktionov
Publisher: CRC Press
ISBN: 1482251736
Category : Mathematics
Languages : en
Pages : 565

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Book Description
Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations shows how four types of higher-order nonlinear evolution partial differential equations (PDEs) have many commonalities through their special quasilinear degenerate representations. The authors present a unified approach to deal with these quasilinear PDEs.The book

Partial Differential Equations of Parabolic Type

Partial Differential Equations of Parabolic Type PDF Author: Avner Friedman
Publisher: Courier Corporation
ISBN: 0486318265
Category : Mathematics
Languages : en
Pages : 369

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Book Description
With this book, even readers unfamiliar with the field can acquire sufficient background to understand research literature related to the theory of parabolic and elliptic equations. 1964 edition.

Lebesgue and Sobolev Spaces with Variable Exponents

Lebesgue and Sobolev Spaces with Variable Exponents PDF Author: Lars Diening
Publisher: Springer
ISBN: 3642183638
Category : Mathematics
Languages : en
Pages : 516

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Book Description
The field of variable exponent function spaces has witnessed an explosive growth in recent years. The standard reference article for basic properties is already 20 years old. Thus this self-contained monograph collecting all the basic properties of variable exponent Lebesgue and Sobolev spaces is timely and provides a much-needed accessible reference work utilizing consistent notation and terminology. Many results are also provided with new and improved proofs. The book also presents a number of applications to PDE and fluid dynamics.

Superlinear Parabolic Problems

Superlinear Parabolic Problems PDF 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.

Exact Self-similar Blow-up of Solutions of a Semilinear Parabolic Equation with a Nonlinear Gradient Term

Exact Self-similar Blow-up of Solutions of a Semilinear Parabolic Equation with a Nonlinear Gradient Term PDF Author: P. Souplet
Publisher:
ISBN:
Category :
Languages : en
Pages : 27

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Book Description