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Existence Theorems in Partial Differential Equations
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Language:
English
Published/Copyright:
2016
About this book
A classic treatment of existence theorems in partial differential equations from the acclaimed Annals of Mathematics Studies series
Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.
To mark the continued success of the series, all books are available in paperback and as ebooks.
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Frontmatter
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Foreword
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Preface
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Table of Contents
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Annals of Mathematics Studies
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I. Introduction
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II. The Initial Value Problem and the Problem of Cauchy for First Order Differential Equations
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III. Second Order Differential Equations
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IV. Partial Differential Equations of Order n > 2
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Bibliography
217
Publishing information
Pages and Images/Illustrations in book
eBook published on:
June 20, 2016
eBook ISBN:
9781400882229
Pages and Images/Illustrations in book
eBook ISBN:
9781400882229
Keywords for this book
Theorem; Equation; Existence theorem; Partial differential equation; Ordinary differential equation; Linear differential equation; Differential equation; Elliptic partial differential equation; Integral equation; Continuous function (set theory); Variable (mathematics); Simultaneous equations; Explicit formulae (L-function); Series (mathematics); Numerical analysis; Implicit function theorem; Laplace transform; Dirichlet problem; Analytic function; Applied mathematics; Method of characteristics; Linear equation; Existential quantification; Partial derivative; Calculation; Pure mathematics; Initial value problem; Boundary value problem; Scientific notation; Implicit function; Computational problem; Three-dimensional space (mathematics); Coefficient; Biharmonic equation; Interval (mathematics); Mathematician; Power series; Cauchy problem; Green's function; Finite difference; Big O notation; Harmonic function; Cartesian coordinate system; Limit of a sequence; Special case; Computation; Real variable; Fourier transform; Exterior (topology); Truncation error; Theory; Second derivative; C0; Derivative; Convex set; Improper integral; Constructive proof; 0O; Radius of convergence; Formal scheme; Linear combination; Upper and lower bounds; Addition; Real number; Plane curve; Probability; Uniform convergence; Nonlinear system; Coordinate system; Terminology
Audience(s) for this book
For an expert adult audience, including professional development and academic research