Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations aims to propose a unified approach to elliptic and parabolic equations with bounded and smooth coefficients. The book will highlight the connections between these equations and the theory of semigroups of operators, while demonstrating how the theory of semigroups represents a powerful tool to analyze general parabolic equations. Features Useful for students and researchers as an introduction...
Lectures on Elliptic and Parabolic Equations in Sobolev Spaces (Graduate Studies in Mathematics)
by N. V. Krylov
This book concentrates on the basic facts and ideas of the modern theory of linear elliptic and parabolic equations in Sobolev spaces. The main areas covered in this book are the first boundary-value problem for elliptic equations and the Cauchy problem for parabolic equations. In addition, other boundary-value problems such as the Neumann or oblique derivative problems are briefly covered. As is natural for a textbook, the main emphasis is on organizing well-known ideas in a self-contained expo...
200 Worksheets - Word Names for 6 Digit Numbers (200 Days Math Number Name, #5)
by Kapoo Stem
Partial Differential Equations with Fourier Series and Boundary Value Problems
by Nakhle H Asmar
One-Parameter Semigroups for Linear Evolution Equations (Graduate Texts in Mathematics, #194)
by Klaus-Jochen Engel and R Nagel
This book explores the theory of strongly continuous one-parameter semigroups of linear operators. A special feature of the text is an unusually wide range of applications such as to ordinary and partial differential operators, to delay and Volterra equations, and to control theory. Also, the book places an emphasis on philosophical motivation and the historical background.
Partial Differential Equations (Applied Mathematical Sciences, #115)
by Michael Eugene Taylor
The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and h...
200 Worksheets - Word Names for 3 Digit Numbers (200 Days Math Number Name, #2)
by Kapoo Stem
Analytic Semigroups and Semilinear Initial Boundary Value Problems (London Mathematical Society Lecture Note)
by Kazuaki Taira
This book provides a careful and accessible exposition of the function analytic approach to initial boundary value problems for semilinear parabolic differential equations. It focuses on the relationship between two interrelated subjects in analysis: analytic semigroups and initial boundary value problems. This semigroup approach can be traced back to the pioneering work of Fujita and Kato on the Navier-Stokes equation. The author studies non homogeneous boundary value problems for second order...
Constantin: Navier-Stokes Equations (Cloth) (Chicago Lectures in Mathematics)
by Constantin
Recent Topics in Nonlinear Pde II (North-Holland Mathematics Studies) (North-Holland Mathematics Studies; Lecture Notes in Numerica)
Nonlinear Partial Differential Equations (North-Holland Mathematics Studies, #44)
by Elemer E Rosinger
Differential Equations with Mathematica
by Martha L. L. Abell and James P. Braselton
Differential Equations with Mathematica, Fourth Edition is a supplementing reference which uses the fundamental concepts of the popular platform to solve (analytically, numerically, and/or graphically) differential equations of interest to students, instructors, and scientists. Mathematica's diversity makes it particularly well suited to performing calculations encountered when solving many ordinary and partial differential equations. In some cases, Mathematica's built-in functions can immedi...
Theory and Numerics of Ordinary and Partial Differential Equations
by M. Ainsworth, J. Levesley, W. A. Light, and M. Marletta
This book surveys the most recent research in six key areas related to numerical solutions of differential equations. It covers guaranteed error bounds for ordinary differential equations; an introduction to computational methods for differential equations; numerical solution of differential-algebraic equations, boundary element methods; and perturbation theory for infinite dimensional dynamical systems. It draws together a method that is currently only available in journals, introducing the rea...
C. Ferrari: Premessa.- M.S.v. Krzywoblocki: The mathematical aspects of rarefied gas dynamics as applied to hypersonic, reentry and magneto-ggas-dynamics.- J. Kampe de Feriet: La theorie de l'information et la mecanique statistique classique des systemes en equilibre.- M. Lunc: Equations de transport.- I. Estermann: 1. Applications of molecular beams to problems in rarefied gas dynamics. 2. Experimental methods in rarefied gas dynamics.- S. Nocilla: Sull'integrazione tra flussi di molecole liber...
This volume provides a systematic introduction to the theory of the multidimensional Mellin transformation in a distributional setting. In contrast to the classical texts on the Mellin and Laplace transformations, this work concentrates on the "local" properties of the Mellin transformations, ie on those properties of the Mellin transforms of distributions "u" which are preserved under multiplication of "u" by cut-off functions (of various types). The main part of the book is devoted to the loca...
Applications of Differential Transform to Real World Problems
by Yogeshwari Patel and Jayesh M Dhodiya
This book is an invaluable resource for applied researchers to find the analytical solution of differential equations describing the dynamical system with less computational effort and time. It describes the basic concepts of the differential transform method and solution of various real-world problems described by simple to complicated differential equations. It provides a computational technique that is not only conceptually simple and easy to use but also readily adaptable for computer coding...
The main result of this book is a proof of the contradictory nature of the Navier‒Stokes problem (NSP). It is proved that the NSP is physically wrong, and the solution to the NSP does not exist on ℝ+ (except for the case when the initial velocity and the exterior force are both equal to zero; in this case, the solution 𝑣(𝑥, 𝑡) to the NSP exists for all 𝑡 ≥ 0 and 𝑣(𝑥, 𝑡) = 0).It is shown that if the initial data 𝑣0(𝑥) ≢ 0, 𝑓(𝑥,𝑡) = 0 and the solution to the NSP exists for all 𝑡 ϵ ℝ+, then 𝑣0(𝑥)...
This volume contains three expanded lecture notes from the program Scalar Curvature in Manifold Topology and Conformal Geometry that was held at the Institute for Mathematical Sciences from 1 November to 31 December 2014. The first chapter surveys the recent developments on the fourth-order equations with negative exponent from geometric points of view such as positive mass theorem and uniqueness results. The next chapter deals with the recent important progress on several conjectures such as th...
This book describes the latest advances in the theory of mean field games, which are optimal control problems with a continuum of players, each of them interacting with the whole statistical distribution of a population. While it originated in economics, this theory now has applications in areas as diverse as mathematical finance, crowd phenomena, epidemiology, and cybersecurity.Because mean field games concern the interactions of infinitely many players in an optimal control framework, one expe...
Boundary Value Problems for Linear Evolution Partial Differential Equations
by H.G. Garnir
2019-2023 Five Year Planner (2019 Monthly Planner, #7)
by Miracle Planners