2 edition of **Generalized functions and partial differential equations** found in the catalog.

Generalized functions and partial differential equations

GeorgiiМ† Evgen"evich Shilov

- 185 Want to read
- 20 Currently reading

Published
**1968**
by Gordon and Breach in New York
.

Written in English

- Differential equations, Partial.,
- Distributions, Theory of (Functional analysis)

**Edition Notes**

Statement | (by) Georgi E. Shilov. Translated and edited by Bernard D. Seckler. |

Series | Mathematics and its applications, v. 7 |

Classifications | |
---|---|

LC Classifications | QA374 |

The Physical Object | |

Pagination | xii, 345 p. ; |

Number of Pages | 345 |

ID Numbers | |

Open Library | OL19541877M |

Additional Physical Format: Online version: Friedman, Avner. Generalized functions and partial differential equations. Englewood Cliffs, N.J., Prentice-Hall, Additional Physical Format: Online version: Shilov, G.E. (Georgiĭ Evgenʹevich). Generalized functions and partial differential equations. New York, Gordon and Breach [].

• generalized analytic functions • potential theory and spherical harmonics • linear partial differential equations. This new second edition of this volume has been thoroughly revised and a new section on the boundary behavior of Cauchy’s integral has been added. Nonlinear Theory of Generalized Functions - CRC Press Book Questions regarding the interplay of nonlinearity and the creation and propagation of singularities arise in a variety of fields-including nonlinear partial differential equations, noise-driven stochastic partial differential equations, general relativity, and geometry with singularities.

• generalized analytic functions • potential theory and spherical harmonics • linear partial differential equations. This new second edition of this volume has been thoroughly revised and a new section on the boundary behavior of Cauchy’s integral has been : Springer-Verlag London. The needed prerequisites for its reading are essentially reduced to the classical notions of differential calculus and the theory of integration over n-dimensional euclidean spaces. Keywords Nonlinear pde's calculus differential equation distributions generalized functions partial differential equation.

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Seckler (Translator) Georgi E. Shilov (Author) See all formats and editions Hide other formats and editions. Price New from Used from Author: B. Seckler (Translator) Georgi E. Shilov. Generalized Functions and Partial Differential Equations (Dover Books on Mathematics) - Kindle edition by Friedman, Avner.

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Generalized Functions and Partial Differential Equations Avner Friedman This self-contained treatment develops the theory of generalized functions and the theory of distributions, and it systematically applies them to solving a variety of problems in partial differential equations.

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An introductory chapter features helpful background on topological spaces. Applications to partial differential equations include a treatment of the Cauchy problem, the Goursat problem, fundamental solutions, existence and differentiality of solutions of equations with.

The author presents the notion of generalized functions, their properties and their applications for solving ordinary differential equations and partial differential equations. The author demonstrates through various examples that familiarity with generalized functions Cited by: Applications to partial differential equations include a treatment of the Cauchy problem, the Goursat problem, fundamental solutions, existence and differentiality of solutions of equations with constants, coefficients, and related topics.

Supplementary materials include end-of-chapter problems, bibliographical remarks, and a : Avner Friedman. Also part of the Advances in Partial Differential Equations book sub series An Application of Internal Objects to Microlocal Analysis in Generalized Function Algebras.

Vernaeve This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and Fourier Analysis. "This book on generalized functions is suitable for physicists, engineers and applied mathematicians.

The author presents the notion of generalized functions, their properties and their applications for solving ordinary differential equations and partial differential : Birkhäuser Basel. Book Description. This book analyzes the various semi-analytical and analytical methods for finding approximate and exact solutions of fractional order partial differential equations.

It explores approximate and exact solutions obtained by various analytical methods for fractional order partial differential equations arising in physical models. Part 2 examines the way Colombeau constructs a nonlinear theory of generalized functions and then succeeds in proving quite impressive existence, uniqueness, regularity, etc., results concerning generalized solutions of large classes of linear and nonlinear partial differential : Applications to partial differential equations include a treatment of the Cauchy problem, the Goursat problem, fundamental solutions, existence and differentiality of solutions of equations with constants, coefficients, and related : Dover Publications.

Get this from a library. Generalized functions and partial differential equations. [Avner Friedman] -- This self-contained treatment develops the theory of generalized functions and the theory of distributions, and it systematically applies them to a variety of problems in partial differential.

In this first volume the following topics are treated: Integration and differentiation on manifolds, Functional analytic foundations, Brouwer's degree of mapping, Generalized analytic functions, Potential theory and spherical harmonics, Linear partial differential : Springer-Verlag Berlin Heidelberg.

Summary This chapter contains sections titled: Integral Theorems and Green's Functions Generalized Functions Green's Functions for Bounded Regions Green's Functions for .This third edition of "Generalized Functions" expands the treatment of fundamental concepts and theoretical background material and delineates connections to a variety of applications in mathematical physics, elasticity, wave propagation, magnetohydrodynamics, linear systems, probability and statistics, optimal control problems in economics, and.Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modem as weIl as the classical techniques of applied mathematics.

This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM).