A Stability Technique for Evolution Partial Differential Equations

Author: Victor A. Galaktionov
Publisher: Springer Science & Business Media
ISBN: 1461220505
Format: PDF, ePub, Docs
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* Introduces a state-of-the-art method for the study of the asymptotic behavior of solutions to evolution partial differential equations. * Written by established mathematicians at the forefront of their field, this blend of delicate analysis and broad application is ideal for a course or seminar in asymptotic analysis and nonlinear PDEs. * Well-organized text with detailed index and bibliography, suitable as a course text or reference volume.

Evolution PDEs with Nonstandard Growth Conditions

Author: Stanislav Antontsev
Publisher: Springer
ISBN: 9462391122
Format: PDF, Mobi
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This monograph offers the reader a treatment of the theory of evolution PDEs with nonstandard growth conditions. This class includes parabolic and hyperbolic equations with variable or anisotropic nonlinear structure. We develop methods for the study of such equations and present a detailed account of recent results. An overview of other approaches to the study of PDEs of this kind is provided. The presentation is focused on the issues of existence and uniqueness of solutions in appropriate function spaces and on the study of the specific qualitative properties of solutions, such as localization in space and time, extinction in a finite time and blow-up, or nonexistence of global in time solutions. Special attention is paid to the study of the properties intrinsic to solutions of equations with nonstandard growth.

Recent Trends in Nonlinear Partial Differential Equations I

Author: James B. Serrin
Publisher: American Mathematical Soc.
ISBN: 082188736X
Format: PDF
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This book is the first of two volumes which contain the proceedings of the Workshop on Nonlinear Partial Differential Equations, held from May 28-June 1, 2012, at the University of Perugia in honor of Patrizia Pucci's 60th birthday. The workshop brought t

Nonlinear Elliptic and Parabolic Problems

Author: Michel Chipot
Publisher: Springer Science & Business Media
ISBN: 9783764372668
Format: PDF, ePub
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The book offers an overview of some of the most important developments in the field of nonlinear analysis, including bifurcation theory, dynamical properties of parabolic semiflows, fluid dynamics, and degenerate parabolic problems.

The Porous Medium Equation

Author: Juan Luis Vazquez
Publisher: Oxford University Press on Demand
ISBN:
Format: PDF, ePub, Docs
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Aimed at research students and academics in mathematics and engineering, as well as engineering specialists, this book provides a systematic and comprehensive presentation of the mathematical theory of the nonlinear heat equation usually called the Porous Medium Equation.

Stability of Dynamical Systems

Author: Xiaoxin Liao
Publisher: Elsevier
ISBN: 9780080550619
Format: PDF, ePub
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The main purpose of developing stability theory is to examine dynamic responses of a system to disturbances as the time approaches infinity. It has been and still is the object of intense investigations due to its intrinsic interest and its relevance to all practical systems in engineering, finance, natural science and social science. This monograph provides some state-of-the-art expositions of major advances in fundamental stability theories and methods for dynamic systems of ODE and DDE types and in limit cycle, normal form and Hopf bifurcation control of nonlinear dynamic systems. Presents comprehensive theory and methodology of stability analysis Can be used as textbook for graduate students in applied mathematics, mechanics, control theory, theoretical physics, mathematical biology, information theory, scientific computation Serves as a comprehensive handbook of stability theory for practicing aerospace, control, mechanical, structural, naval and civil engineers

Advances in Difference Equations and Discrete Dynamical Systems

Author: Saber Elaydi
Publisher: Springer
ISBN: 9811064091
Format: PDF, Docs
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This volume contains the proceedings of the 22nd International Conference on Difference Equations and Applications, held at Osaka Prefecture University, Osaka, Japan, in July 2016. The conference brought together both experts and novices in the theory and applications of difference equations and discrete dynamical systems. The volume features papers in difference equations and discrete dynamical systems with applications to mathematical sciences and, in particular, mathematical biology and economics. This book will appeal to researchers, scientists, and educators who work in the fields of difference equations, discrete dynamical systems, and their applications.