Measure Theory And Nonlinear Evolution Equations
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Author | : Flavia Smarrazzo |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 456 |
Release | : 2022-04-19 |
Genre | : Mathematics |
ISBN | : 3110556901 |
Download Measure Theory and Nonlinear Evolution Equations Book in PDF, Epub and Kindle
This carefully written text on measure theory with applications to partial differential equations covers general measure theory, Lebesgue spaces of real-valued and vector-valued functions, different notions of measurability for the latter, weak convergence of functions and measures, Radon and Young measures, capacity, and finally applications to quasilinear parabolic problems (in particular, forward-backward equations).
Author | : Reinhard Racke |
Publisher | : Springer Science & Business Media |
Total Pages | : 268 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 3663106292 |
Download Lectures on Nonlinear Evolution Equations Book in PDF, Epub and Kindle
This book serves as an elementary, self contained introduction into some important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations. The presentation is made using the classical method of continuation of local solutions with the help of a priori estimates obtained for small data.
Author | : J. Kral |
Publisher | : Springer |
Total Pages | : 146 |
Release | : 1975-04-01 |
Genre | : Mathematics |
ISBN | : 9780306308352 |
Download Nonlinear Evolution Equations and Potential Theory Book in PDF, Epub and Kindle
Autoři věnují pozornost různým problémům teorie potenciálu, na něž aplikují diferenciální rovnice určitých typů. Problematiku shrnují pod názvem nelineární rovnice evoluční. V četných případech vystupuje parabolický typ
Author | : Songmu Zheng |
Publisher | : CRC Press |
Total Pages | : 302 |
Release | : 2004-07-08 |
Genre | : Mathematics |
ISBN | : 1135436479 |
Download Nonlinear Evolution Equations Book 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.
Author | : Tatsien Li |
Publisher | : World Scientific |
Total Pages | : 334 |
Release | : 1999-08-31 |
Genre | : |
ISBN | : 9814543446 |
Download Nonlinear Evolution Equations And Their Applications - Proceedings Of The Luso-chinese Symposium Book 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.
Author | : Sandra Carillo |
Publisher | : Springer Science & Business Media |
Total Pages | : 247 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 3642840396 |
Download Nonlinear Evolution Equations and Dynamical Systems Book in PDF, Epub and Kindle
Nonlinear Evolution Equations and Dynamical Systems (NEEDS) provides a presentation of the state of the art. Except for a few review papers, the 40 contributions are intentially brief to give only the gist of the methods, proofs, etc. including references to the relevant litera- ture. This gives a handy overview of current research activities. Hence, the book should be equally useful to the senior resercher as well as the colleague just entering the field. Keypoints treated are: i) integrable systems in multidimensions and associated phenomenology ("dromions"); ii) criteria and tests of integrability (e.g., Painlev test); iii) new developments related to the scattering transform; iv) algebraic approaches to integrable systems and Hamiltonian theory (e.g., connections with Young-Baxter equations and Kac-Moody algebras); v) new developments in mappings and cellular automata, vi) applications to general relativity, condensed matter physics, and oceanography.
Author | : Antonio Degasperis |
Publisher | : |
Total Pages | : 619 |
Release | : 1990 |
Genre | : Mathematics |
ISBN | : 9780719032738 |
Download Nonlinear Evolution Equations : Integrability and Spectral Methods Book in PDF, Epub and Kindle
Author | : Wolfgang Arendt |
Publisher | : Birkhäuser |
Total Pages | : 803 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034879245 |
Download Nonlinear Evolution Equations and Related Topics Book in PDF, Epub and Kindle
Philippe Bénilan was a most original and charismatic mathematician who had a deep and decisive impact on the theory of Nonlinear Evolution Equations. Dedicated to him, Nonlinear Evolution Equations and Related Topics contains research papers written by highly distinguished mathematicians. They are all related to Philippe Benilan's work and reflect the present state of this most active field. The contributions cover a wide range of nonlinear and linear equations.
Author | : Alain Haraux |
Publisher | : Springer |
Total Pages | : 324 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540385347 |
Download Nonlinear Evolution Equations - Global Behavior of Solutions Book in PDF, Epub and Kindle
Author | : Michael G. Crandall |
Publisher | : Elsevier |
Total Pages | : 266 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483269280 |
Download Nonlinear Evolution Equations Book in PDF, Epub and Kindle
Nonlinear Evolution Equation covers the proceedings of the Symposium by the same title, conducted by the Mathematics Research Center at the University of Wisconsin, Madison on October 17-19, 1977. This book is divided into 13 chapters and begins with reviews of the uniqueness of solution to systems of conservation laws and the computational aspects of Glimm’s method. The next chapters examine the theoretical and practical aspects of Boltzmann, Navier-Stokes, and evolution equations. These topics are followed by discussions of the practical applications of Trotter’s product formula for some nonlinear semigroups and the finite time blow-up in nonlinear problems. The closing chapters deal with a Hamiltonian approach to the K-dV and other equations, along with a variational method for finding periodic solutions of differential equations. This book will prove useful to mathematicians and engineers.