Nonlinear Evolution Equations - Global Behavior of Solutions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Evolution Equations - Global Behavior of Solutions write by Alain Haraux. This book was released on 2006-11-15. Nonlinear Evolution Equations - Global Behavior of Solutions available in PDF, EPUB and Kindle.
Lectures on Nonlinear Evolution Equations
Lectures on Nonlinear Evolution Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Nonlinear Evolution Equations write by Reinhard Racke. This book was released on 2015-08-31. Lectures on Nonlinear Evolution Equations available in PDF, EPUB and Kindle. This book mainly serves as an elementary, self-contained introduction to several important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations. The book employs the classical method of continuation of local solutions with the help of a priori estimates obtained for small data. The existence and uniqueness of small, smooth solutions that are defined for all values of the time parameter are investigated. Moreover, the asymptotic behaviour of the solutions is described as time tends to infinity. The methods for nonlinear wave equations are discussed in detail. Other examples include the equations of elasticity, heat equations, the equations of thermoelasticity, Schrödinger equations, Klein-Gordon equations, Maxwell equations and plate equations. To emphasize the importance of studying the conditions under which small data problems offer global solutions, some blow-up results are briefly described. Moreover, the prospects for corresponding initial boundary value problems and for open questions are provided. In this second edition, initial-boundary value problems in waveguides are additionally considered.
Nonlinear Evolution Equations
Nonlinear Evolution Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Evolution Equations write by Songmu Zheng. This book was released on 2004-07-08. Nonlinear Evolution Equations available in PDF, EPUB and Kindle. Nonlinear evolution equations arise in many fields of sciences including physics, mechanics, and material science. This book introduces some important methods for dealing with these equations and explains clearly and concisely a wide range of relevant theories and techniques. These include the semigroup method, the compactness and monotone operator methods, the monotone iterative method and invariant regions, the global existence and uniqueness theory for small initial data, and the asymptotic behavior of solutions and global attractors. Many of the results are published in book form for the first time. Bibliographic comments in each chapter provide the reader with references and further reading materials to enable further research and study.
Nonlinear Evolution Equations And Their Applications - Proceedings Of The Luso-chinese Symposium
Nonlinear Evolution Equations And Their Applications - Proceedings Of The Luso-chinese Symposium - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Evolution Equations And Their Applications - Proceedings Of The Luso-chinese Symposium write by Tatsien Li. This book was released on 1999-08-31. Nonlinear Evolution Equations And Their Applications - Proceedings Of The Luso-chinese Symposium available in PDF, EPUB and Kindle. This book discusses recent trends and developments in the area of nonlinear evolution equations. It is a collection of invited lectures on the following topics: nonlinear parabolic equations (systems); nonlinear hyperbolic systems; free boundary problems; conservation laws and shock waves; travelling and solitary waves; regularity, stability and singularity, etc.
Leading-edge Research on Evolution Equations
Leading-edge Research on Evolution Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Leading-edge Research on Evolution Equations write by Gaston M. N'Guerekata. This book was released on 2008. Leading-edge Research on Evolution Equations available in PDF, EPUB and Kindle. This book presents high-quality research from around the world on the theory and methods of linear or nonlinear evolution equations as well as their further applications. Equations dealing with the asymptotic behavior of solutions to evolution equations are included. The book also covers degenerate parabolic equations, abstract differential equations, comments on the Schrodinger equation, solutions in banach spaces, periodic and quasi-periodic solutions, concave Lagragian systems and integral equations.
