Theory and Applications of Abstract Semilinear Cauchy Problems - 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 Theory and Applications of Abstract Semilinear Cauchy Problems write by Pierre Magal. This book was released on 2018-11-21. Theory and Applications of Abstract Semilinear Cauchy Problems available in PDF, EPUB and Kindle. Several types of differential equations, such as functional differential equation, age-structured models, transport equations, reaction-diffusion equations, and partial differential equations with delay, can be formulated as abstract Cauchy problems with non-dense domain. This monograph provides a self-contained and comprehensive presentation of the fundamental theory of non-densely defined semilinear Cauchy problems and their applications. Starting from the classical Hille-Yosida theorem, semigroup method, and spectral theory, this monograph introduces the abstract Cauchy problems with non-dense domain, integrated semigroups, the existence of integrated solutions, positivity of solutions, Lipschitz perturbation, differentiability of solutions with respect to the state variable, and time differentiability of solutions. Combining the functional analysis method and bifurcation approach in dynamical systems, then the nonlinear dynamics such as the stability of equilibria, center manifold theory, Hopf bifurcation, and normal form theory are established for abstract Cauchy problems with non-dense domain. Finally applications to functional differential equations, age-structured models, and parabolic equations are presented. This monograph will be very valuable for graduate students and researchers in the fields of abstract Cauchy problems, infinite dimensional dynamical systems, and their applications in biological, chemical, medical, and physical problems.
The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations
The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential 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 The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations write by J. C. Meyer. This book was released on 2015-10-22. The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations available in PDF, EPUB and Kindle. A monograph containing significant new developments in the theory of reaction-diffusion systems, particularly those arising in chemistry and life sciences.
Theory and Applications of Nonlinear Operators of Accretive and Monotone Type
Theory and Applications of Nonlinear Operators of Accretive and Monotone Type - 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 Theory and Applications of Nonlinear Operators of Accretive and Monotone Type write by Athanass Kartsatos. This book was released on 1996-03-14. Theory and Applications of Nonlinear Operators of Accretive and Monotone Type available in PDF, EPUB and Kindle. This work is based upon a Special Session on the Theory and Applications of Nonlinear Operators of Accretive and Monotone Type held during the recent meeting of the American Mathematical Society in San Francisco. It examines current developments in non-linear analysis, emphasizing accretive and monotone operator theory. The book presents a major survey/research article on partial functional differential equations with delay and an important survey/research article on approximation solvability.
Abstract Evolution Equations, Periodic Problems and Applications
Abstract Evolution Equations, Periodic Problems and Applications - 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 Abstract Evolution Equations, Periodic Problems and Applications write by D Daners. This book was released on 1992-12-29. Abstract Evolution Equations, Periodic Problems and Applications available in PDF, EPUB and Kindle. Part of the Pitman Research Notes in Mathematics series, this text covers: linear evolution equations of parabolic type; semilinear evolution equations of parabolic type; evolution equations and positivity; semilinear periodic evolution equations; and applications.
The Navier-Stokes Equations
The Navier-Stokes 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 The Navier-Stokes Equations write by Hermann Sohr. This book was released on 2012-12-13. The Navier-Stokes Equations available in PDF, EPUB and Kindle. The primary objective of this monograph is to develop an elementary and se- containedapproachtothemathematicaltheoryofaviscousincompressible?uid n in a domain ? of the Euclidean spaceR , described by the equations of Navier- Stokes. The book is mainly directed to students familiar with basic functional analytic tools in Hilbert and Banach spaces. However, for readers’ convenience, in the ?rst two chapters we collect, without proof some fundamental properties of Sobolev spaces, distributions, operators, etc. Another important objective is to formulate the theory for a completely general domain ?. In particular, the theory applies to arbitrary unbounded, non-smooth domains. For this reason, in the nonlinear case, we have to restrict ourselves to space dimensions n=2,3 that are also most signi?cant from the physical point of view. For mathematical generality, we will develop the l- earized theory for all n? 2. Although the functional-analytic approach developed here is, in principle, known to specialists, its systematic treatment is not available, and even the diverseaspectsavailablearespreadoutintheliterature.However,theliterature is very wide, and I did not even try to include a full list of related papers, also because this could be confusing for the student. In this regard, I would like to apologize for not quoting all the works that, directly or indirectly, have inspired this monograph.
