Second Order Partial Differential Equations In Hilbert Spaces
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Second Order Partial Differential Equations in Hilbert Spaces
Author | : Giuseppe Da Prato,Jerzy Zabczyk |
Publsiher | : Cambridge University Press |
Total Pages | : 397 |
Release | : 2002-07-25 |
Genre | : Mathematics |
ISBN | : 9781139433433 |
Download Second Order Partial Differential Equations in Hilbert Spaces Book in PDF, Epub and Kindle
State of the art treatment of a subject which has applications in mathematical physics, biology and finance. Includes discussion of applications to control theory. There are numerous notes and references that point to further reading. Coverage of some essential background material helps to make the book self contained.
Second Order Partial Differential Equations in Hilbert Spaces London Mathematical Society Lecture Note Series
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Author | : Giuseppe Da Prato |
Publsiher | : Unknown |
Total Pages | : 397 |
Release | : 2002 |
Genre | : Electronic Book |
ISBN | : 0511177275 |
Download Second Order Partial Differential Equations in Hilbert Spaces London Mathematical Society Lecture Note Series Book in PDF, Epub and Kindle
Second order linear parabolic and elliptic equations arise frequently in mathematics and other disciplines. For example parabolic equations are to be found in statistical mechanics and solid state theory, their infinite dimensional counterparts are important in fluid mechanics, mathematical finance and population biology, whereas nonlinear parabolic equations arise in control theory. Here the authors present a state of the art treatment of the subject from a new perspective. The main tools used are probability measures in Hilbert and Banach spaces and stochastic evolution equations. There is t.
Elliptic Partial Differential Equations of Second Order
Author | : David Gilbarg,Neil S. Trudinger |
Publsiher | : Springer Science & Business Media |
Total Pages | : 544 |
Release | : 2001-01-12 |
Genre | : Mathematics |
ISBN | : 3540411607 |
Download Elliptic Partial Differential Equations of Second Order Book in PDF, Epub and Kindle
This work aims to be of interest to those who have to work with differential equations and acts either as a reference or as a book to learn from. The authors have made the treatment self-contained.
Introduction to Partial Differential Equations and Hilbert Space Methods
Author | : Karl E. Gustafson |
Publsiher | : Courier Corporation |
Total Pages | : 500 |
Release | : 2012-04-26 |
Genre | : Mathematics |
ISBN | : 9780486140872 |
Download Introduction to Partial Differential Equations and Hilbert Space Methods Book in PDF, Epub and Kindle
Easy-to-use text examines principal method of solving partial differential equations, 1st-order systems, computation methods, and much more. Over 600 exercises, with answers for many. Ideal for a 1-semester or full-year course.
Second Order Partial Differential Equations in Hilbert Spaces
Author | : Giuseppe Da Prato,Jerzy Zabczyk |
Publsiher | : Unknown |
Total Pages | : 379 |
Release | : 2002 |
Genre | : Differential equations, Partial |
ISBN | : 0511049951 |
Download Second Order Partial Differential Equations in Hilbert Spaces Book in PDF, Epub and Kindle
State of the art treatment of a subject which has applications in mathematical physics, biology and finance. Includes discussion of applications to control theory. There are numerous notes and references that point to further reading. Coverage of some essential background material helps to make the book self contained.
Partial Differential Equations
Author | : Rainer Picard,Des McGhee |
Publsiher | : Walter de Gruyter |
Total Pages | : 489 |
Release | : 2011-06-30 |
Genre | : Mathematics |
ISBN | : 9783110250275 |
Download Partial Differential Equations Book in PDF, Epub and Kindle
This book presents a systematic approach to a solution theory for linear partial differential equations developed in a Hilbert space setting based on a Sobolev lattice structure, a simple extension of the well-established notion of a chain (or scale) of Hilbert spaces. The focus on a Hilbert space setting (rather than on an apparently more general Banach space) is not a severe constraint, but rather a highly adaptable and suitable approach providing a more transparent framework for presenting the main issues in the development of a solution theory for partial differential equations. In contrast to other texts on partial differential equations, which consider either specific equation types or apply a collection of tools for solving a variety of equations, this book takes a more global point of view by focusing on the issues involved in determining the appropriate functional analytic setting in which a solution theory can be naturally developed. Applications to many areas of mathematical physics are also presented. The book aims to be largely self-contained. Full proofs to all but the most straightforward results are provided, keeping to a minimum references to other literature for essential material. It is therefore highly suitable as a resource for graduate courses and also for researchers, who will find new results for particular evolutionary systems from mathematical physics.
Hilbert Space Methods in Partial Differential Equations
Author | : Ralph E. Showalter |
Publsiher | : Courier Corporation |
Total Pages | : 226 |
Release | : 2010-03-18 |
Genre | : Mathematics |
ISBN | : 9780486474434 |
Download Hilbert Space Methods in Partial Differential Equations Book in PDF, Epub and Kindle
This graduate-level text opens with an elementary presentation of Hilbert space theory sufficient for understanding the rest of the book. Additional topics include boundary value problems, evolution equations, optimization, and approximation.1979 edition.
Nonlinear Evolution and Difference Equations of Monotone Type in Hilbert Spaces
Author | : Behzad Djafari Rouhani |
Publsiher | : CRC Press |
Total Pages | : 450 |
Release | : 2019-05-20 |
Genre | : Mathematics |
ISBN | : 9781482228199 |
Download Nonlinear Evolution and Difference Equations of Monotone Type in Hilbert Spaces Book in PDF, Epub and Kindle
This book is devoted to the study of non-linear evolution and difference equations of first or second order governed by maximal monotone operator. This class of abstract evolution equations contains ordinary differential equations, as well as the unification of some important partial differential equations including heat equation, wave equation, Schrodinger equation, etc. The book contains a collection of the authors' work and applications in this field, as well as those of other authors.