Download or read book Mixed Type Partial Differential Equations in R superscript N written by John Michael Rassias and published by . This book was released on 1977 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Ordinary Differential Equations In R written by L. C. Piccinini and published by . This book was released on 1982 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Ordinary Differential Equations in Rn written by Livio Clemente Piccinini and published by . This book was released on 1982-01-01 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Methods for Partial Differential Equations written by Marcelo R. Ebert and published by Birkhäuser. This book was released on 2018-02-23 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of different topics related to the theory of partial differential equations. Selected exercises are included at the end of each chapter to prepare readers for the “research project for beginners” proposed at the end of the book. It is a valuable resource for advanced graduates and undergraduate students who are interested in specializing in this area. The book is organized in five parts: In Part 1 the authors review the basics and the mathematical prerequisites, presenting two of the most fundamental results in the theory of partial differential equations: the Cauchy-Kovalevskaja theorem and Holmgren's uniqueness theorem in its classical and abstract form. It also introduces the method of characteristics in detail and applies this method to the study of Burger's equation. Part 2 focuses on qualitative properties of solutions to basic partial differential equations, explaining the usual properties of solutions to elliptic, parabolic and hyperbolic equations for the archetypes Laplace equation, heat equation and wave equation as well as the different features of each theory. It also discusses the notion of energy of solutions, a highly effective tool for the treatment of non-stationary or evolution models and shows how to define energies for different models. Part 3 demonstrates how phase space analysis and interpolation techniques are used to prove decay estimates for solutions on and away from the conjugate line. It also examines how terms of lower order (mass or dissipation) or additional regularity of the data may influence expected results. Part 4 addresses semilinear models with power type non-linearity of source and absorbing type in order to determine critical exponents: two well-known critical exponents, the Fujita exponent and the Strauss exponent come into play. Depending on concrete models these critical exponents divide the range of admissible powers in classes which make it possible to prove quite different qualitative properties of solutions, for example, the stability of the zero solution or blow-up behavior of local (in time) solutions. The last part features selected research projects and general background material.

Download or read book Partial Differential Equations written by Walter A. Strauss and published by John Wiley & Sons. This book was released on 2007-12-21 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.

Download or read book Mixed Type Partial Differential Equations in Rn written by John M. Rassias and published by . This book was released on 1977 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On Linear Partial Differential Equations of the Second Order of Mixed Type written by Francesco Giacomo Tricomi and published by . This book was released on 1948 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Priori Estimates for Solutions of Elliptic Partial Differential Equations on Surfaces written by Heidi Steenblock and published by . This book was released on 2009 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let S be an (n-1)-dimensional bounded surface of class C2 in R[real number] [superscript n] and let [set theory][subscript s] be the Laplace-Beltrami operator on S. In this thesis, under suitable geometric assumptions, we prove a priori estimates in the W2̇2(S) Sobolev space for solutions [u] to the Poisson problem [set theory][subscript s] [superscript u] = [integral] in S and [u] satisfying homogeneous Dirichlet, Neumann, or mixed type boundary conditions, in terms of the L2 norm of the datum f. The geometric assumptions S has to satisfy are related to the mean curvatures of the boundary of the surface S.

Download or read book Ordinary Differential Equations in R superscript N written by Livio Clemente Piccinini and published by . This book was released on 1984 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Lecture Notes on Mixed Type Partial Differential Equations written by John Michael Rassias and published by . This book was released on 1990 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Solutions of Mixed Type Partial Differential Equations written by Ronald Myles Anderson and published by . This book was released on 1962 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Implicit Partial Differential Equations written by Bernard Dacorogna and published by Springer Science & Business Media. This book was released on 1999-08-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear partial differential equations has become one of the main tools of mod ern mathematical analysis; in spite of seemingly contradictory terminology, the subject of nonlinear differential equations finds its origins in the theory of linear differential equations, and a large part of functional analysis derived its inspiration from the study of linear pdes. In recent years, several mathematicians have investigated nonlinear equations, particularly those of the second order, both linear and nonlinear and either in divergence or nondivergence form. Quasilinear and fully nonlinear differential equations are relevant classes of such equations and have been widely examined in the mathematical literature. In this work we present a new family of differential equations called "implicit partial differential equations", described in detail in the introduction (c.f. Chapter 1). It is a class of nonlinear equations that does not include the family of fully nonlinear elliptic pdes. We present a new functional analytic method based on the Baire category theorem for handling the existence of almost everywhere solutions of these implicit equations. The results have been obtained for the most part in recent years and have important applications to the calculus of variations, nonlin ear elasticity, problems of phase transitions and optimal design; some results have not been published elsewhere.

Download or read book Second Order Partial Differential Equations of Mixed Type written by Massoud Agahi and published by . This book was released on 1982 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Handbook of Linear Partial Differential Equations for Engineers and Scientists written by Andrei D. Polyanin and published by CRC Press. This book was released on 2001-11-28 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following in the footsteps of the authors' bestselling Handbook of Integral Equations and Handbook of Exact Solutions for Ordinary Differential Equations, this handbook presents brief formulations and exact solutions for more than 2,200 equations and problems in science and engineering. Parabolic, hyperbolic, and elliptic equations with

Download or read book Mixed type Partial Differential Equations with Analytic Coefficients written by Fred Meyer and published by . This book was released on 1960 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On Partial Differential Equations of Mixed Type Linear in the Second Order Derivatives written by Francesco Giacomo Tricomi and published by . This book was released on 1959 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Unsteady Propeller Forces Fundamental Hydrodynamics and Unconventional Propulsion written by Ralph D. Cooper and published by . This book was released on 1971 with total page 1700 pages. Available in PDF, EPUB and Kindle. Book excerpt: